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ART001882672
|
oai_dc
|
Polynomial Unknotting and Singularity Index
|
Polynomial Unknotting and Singularity Index
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Rama Mishra(Indian Institute of Science Education and Research)"
] |
We introduce a new method to transform a knot diagram into a diagram of an unknot using a polynomial representation of the knot. Here the unknotting sequence of aknot diagram with least number of crossing changes can be realized by a family of polynomial maps. The number of singular knots in this family is defined to be the{\it singularity index} of the diagram. We show that the singularity index of a diagram is always less than or equal to its unknotting number.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.271
|
kci_detailed_000035.xml
|
||
ART001882675
|
oai_dc
|
Paranormed I-convergent Double Sequence Spaces Associated with Multiplier Sequences
|
Paranormed I-convergent Double Sequence Spaces Associated with Multiplier Sequences
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Binod Chandra Tripathy(Institute of Advanced Study in Science and Technology); Mausumi Sen(National Institute of Tecgnology)"
] |
In this article we introduce different types of multiplier I-convergent double sequence spaces. We study their different algebraic and topological properties like solidity, symmetricity, completeness etc. The decomposition theorem is established and some inclusion results are proved.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.321
|
kci_detailed_000035.xml
|
||
ART001882674
|
oai_dc
|
Global Chaos Synchronization of WINDMI and Coullet Chaotic Systems using Adaptive Backstepping Control Design
|
Global Chaos Synchronization of WINDMI and Coullet Chaotic Systems using Adaptive Backstepping Control Design
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Suresh Rasappan(Vel Tech University); Sundarapandian Vaidyanathan(Vel Tech University)"
] |
In this paper, global chaos synchronization is investigated for WINDMI (J. C. Sprott, 2003) and Coullet (P. Coullet et al, 1979) chaotic systems using adaptive backstep- ping control design based on recursive feedback control. Our theorems on synchronization for WINDMI and Coullet chaotic systems are established using Lyapunov stability the- ory. The adaptive backstepping control links the choice of Lyapunov function with the design of a controller and guarantees global stability performance of strict-feedback chaotic systems. The adaptive backstepping control maintains the parameter vector at a predeter- mined desired value. The adaptive backstepping control method is effective and convenient to synchronize and estimate the parameters of the chaotic systems. Mainly, this technique gives the flexibility to construct a control law and estimate the parameter values. Numeri- cal simulations are also given to illustrate and validate the synchronization results derived in this paper.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.293
|
kci_detailed_000035.xml
|
||
ART001882671
|
oai_dc
|
Reflexive Index of a Family of Sets
|
Reflexive Index of a Family of Sets
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Zhao Dongsheng(Nanyang Technological University)"
] |
As a further study on reflexive families of subsets, we introduce the reflexive index for a family of subsets of a given set and show that the index of a finite family of subsets of a finite or countably infinite set is always finite. The reflexive indices of some special families are also considered.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.263
|
kci_detailed_000035.xml
|
||
ART001882656
|
oai_dc
|
Chain Recurrences on Conservative Dynamics
|
Chain Recurrences on Conservative Dynamics
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jaeyoo Choy(경북대학교); 주항연(충남대학교)"
] |
Let M be a manifold with a volumeform w and f : M → M be a diffeomorphism of class C1 that preserves w. We prove that if M isalmost bounded for the diffeomorphism f, then M is chainrecurrent. Moreover, we get that Lagrange stable volume-preservingmanifolds are also chain recurrent.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.165
|
kci_detailed_000035.xml
|
||
ART001882659
|
oai_dc
|
The Structure of Maximal Ideal Space of Certain Banach Algebras of Vector-valued Functions
|
The Structure of Maximal Ideal Space of Certain Banach Algebras of Vector-valued Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Abbas Ali Shokri(Islamic Azad University); Ali Shokri(University of Maragheh)"
] |
Let X be a compact metric space, B be a unital commutative Banach algebra and α ∈ (0,1]. In this paper, we first definethe vector-valued (B-valued) α-Lipschitz operator algebra Lipα(X,B) and then study its structure and characterize ofits maximal ideal space.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.189
|
kci_detailed_000035.xml
|
||
ART001882668
|
oai_dc
|
On Strongly Extending Modules
|
On Strongly Extending Modules
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"S. Ebrahimi Atani(University of Guilan); M. Khoramdel(University of Guilan); S. Dolati Pish Hesari(University of Guilan)"
] |
The purpose of this paper is to introduce the concept ofstrongly extending modules which are particular subclass of theclass of extending modules, and study some basic properties ofthis new class of modules. A module M is called stronglyextending if each submodule of M is essential in a fullyinvariant direct summand of M. In this paper we examine thebehavior of the class of strongly extending modules with respectto the preservation of this property in direct summands anddirect sums and give some properties of these modules, forinstance, strongly summand intersection property and weaklyco-Hopfian property. Also such modules are characterized overcommutative Dedekind domains.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.237
|
kci_detailed_000035.xml
|
||
ART001882677
|
oai_dc
|
On the Omega Limit Sets for Analytic Flows
|
On the Omega Limit Sets for Analytic Flows
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jaeyoo Choy(Kyungpook National University); 주항연(충남대학교)"
] |
In this paper, we describe thecharacterizations of omega limit sets (= ω-limit set) on R2 in detail. For a local real analytic flow Ф by z'= f(z) on R2, we prove the ω-limit set fromthe basin of a given attractor is in the boundary of the attractor.
Using the result of Jimenez-Lopez and Llibre [9], we cancompletely understand how both the attractors and the ω-limitsets from the basin.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.333
|
kci_detailed_000035.xml
|
||
ART001882658
|
oai_dc
|
On a Class of γ*-pre-open Sets in Topological Spaces
|
On a Class of γ*-pre-open Sets in Topological Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"G. SAI SUNDARA KRISHNAN(PSG College of Technology); D. SARAVANAKUMAR(SNS College of Engineering); M. Ganster(Graz University of Technology, Steyrergasse); K. Balachandran(Bharathiar University, India.)"
] |
In this paper, a new class of opensets, namely γ*-pre-open sets was introduced and its basicproperties were studied. Moreover a new type of topology τγp* was generated using γ*-pre-open sets andcharacterized the resultant topological space (X, τγp*) as γ*-pre-T½ space.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.173
|
kci_detailed_000035.xml
|
||
ART001882660
|
oai_dc
|
Poset Properties Determined by the Ideal - Based Zero-divisor Graph
|
Poset Properties Determined by the Ideal - Based Zero-divisor Graph
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Kasi Porselvi(Karunya University); Balasubramanian Elavarasan(Karunya University)"
] |
In this paper, we study someproperties of finite or infinite poset P determined by propertiesof the ideal based zero-divisor graph properties GJ(P), for anideal J of P.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.197
|
kci_detailed_000035.xml
|
||
ART001882665
|
oai_dc
|
On Soft Topological Space via Semiopen and Semiclosed Soft Sets
|
On Soft Topological Space via Semiopen and Semiclosed Soft Sets
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Juthika Mahanta(Arunachal Pradesh); Pramod Kumar Das(Arunachal Pradesh)"
] |
This paper introduces semiopen and semiclosed soft sets in soft topological spaces and then these are used to generalize the notions of interior and closure. Further, we study the properties of semiopen soft sets, semiclosed soft sets, semi interior and semi closure of soft set in soft topological spaces. Various forms of soft functions, like semicontinuous, irresolute, semiopen and semiclosed soft functions are introduced and characterized including those of soft semicompactness, soft semiconnectedness. Besides, soft semiseparation axioms are also introduced and studied.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.221
|
kci_detailed_000035.xml
|
||
ART001882669
|
oai_dc
|
A Note on Certain Properties of Mock Theta Functions of Order Eight
|
A Note on Certain Properties of Mock Theta Functions of Order Eight
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Pankaj Srivastava(Motilal Nehru National Institute of Technology); Anwar Jahan Wahidi(Motilal Nehru National Institute of Technology)"
] |
In this paper, we have developed a non-homogeneous q- difference equation of first order for the generalizedMock theta function of order eight and besides these established limiting case of Mock theta functions of order eight.
We have also established identities for Partial Mock theta function and Mock theta function of order eight and provided a numberof cases of the identities.
|
수학
| null |
http://dx.doi.org/10.5666/KMJ.2014.54.2.249
|
kci_detailed_000035.xml
|
||
ART002058763
|
oai_dc
|
On Commutativity of σ-Prime Γ-Rings
|
On Commutativity of σ-Prime Γ-Rings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Kalyan Kumar Dey(Rajshahi University); Akhil Chandra Paul(Rajshahi University); Bijan Davvaz(Yazd University)"
] |
Let U be a σ-square closed Lie ideal of a 2-torsion free σ-prime Γ-ring M. Let d≠1 be an automorphism of M such that [u, d(u)]α ∈ Z(M) on U, dσ=σd on U, and there exists u0 in Saσ(M) with MΓu0 ⊆ U. Then, U ⊆ Z(M). By applying this result, we generalize the results of Oukhtite and Salhi respect to Γ-rings. Finally, for a non-zero derivation of a 2-torsion free σ-prime Γ-ring, we obtain suitable conditions under which the Γ-ring must be commutative.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058794
|
oai_dc
|
Basic Results in the Theory of Hybrid Casual Nonlinear Differential Equations
|
Basic Results in the Theory of Hybrid Casual Nonlinear Differential Equations
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Bapurao Chandrabhan Dhage(Gurukul Colony)"
] |
In this paper, some basic results concerning the existence, strict and nonstrict inequalities and existence of the maximal and minimal solutions are proved for a hybrid causal differential equation. Our results generalize some basic results of Leela and Lakshmikantham [13] and Dhage and Lakshmikantham [10] respectively for the nonlinear first order classical and hybrid differential equations.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058764
|
oai_dc
|
Cellularity of a Larger Class of Diagram Algebras
|
Cellularity of a Larger Class of Diagram Algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"N. Karimilla Bi(University of Madras,)"
] |
In this paper, we realize the algebra of Z2 relations, signed partition algebras and partition algebras as tabular algebras and prove the cellularity of these algebras using the method of [2].
Using the results of Graham and Lehrer in [1], we give the modular representations of the algebra of Z2-relations, signed partition algebras and partition algebras.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058775
|
oai_dc
|
Some Paranormed Difference Sequence Spaces Derived by Using Generalized Means
|
Some Paranormed Difference Sequence Spaces Derived by Using Generalized Means
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Atanu Manna(Indian Institute of Technology Kharagpur); Amit Maji(Indian Institute of Technology Kharagpur); Parmeshwary Dayal Srivastava(Indian Institute of Technology Kharagpur)"
] |
This paper presents some new paranormed sequence spaces X(r, s, t, p ; Δ) where X∈{ l∞(p), c(p), c0(p), l(p)} defined by using generalized means and difference operator. It is shown that these are complete linear metric spaces under suitable paranorms. Furthermore, the α-, β-, γ- duals of these sequence spaces are computed and also obtained necessary and sufficient conditions for some matrix transformations from X(r, s, t, p ; Δ) to X. Finally, it is proved that the sequence space l(r, s, t, p ; Δ) is rotund when pn>1 for all n and has the Kadec-Klee property.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058776
|
oai_dc
|
Convergence of an Iterative Algorithm for Systems of Variational Inequalities and Nonlinear Mappings in Banach Spaces
|
Convergence of an Iterative Algorithm for Systems of Variational Inequalities and Nonlinear Mappings in Banach Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
" Jae Ug Jeong(Dongeui University)"
] |
In this paper, we consider the problem of convergence of an iterative algorithm for a general system of variational inequalities, a nonexpansive mapping and an η-strictly pseudo-contractive mapping. Strong convergence theorems are established in the framework of real Banach spaces.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058765
|
oai_dc
|
Quasi-Valuation Maps on BCK/BCI-Algebras
|
Quasi-Valuation Maps on BCK/BCI-Algebras
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"송석준(제주대학교); 노은환(진주교육대학교); 전영배(경상대학교)"
] |
The notion of quasi-valuation maps based on a subalgebra and an ideal in BCK/BCI-algebras is introduced, and then several properties are investigated. Relations between a quasi-valuation map based on a subalgebra and a quasi-valuation map based on an ideal is established. In a BCI-algebra, a condition for a quasi-valuation map based on an ideal to be a quasi-valuation map based on a subalgebra is provided, and conditions for a real-valued function on a BCK/BCI-algebra to be a quasi-valuation map based on an ideal are discussed. Using the notion of a quasi-valuation map based on an ideal, (pseudo) metric spaces are constructed, and we show that the binary operation * in BCK-algebras is uniformly continuous.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058766
|
oai_dc
|
On Divisorial Submodules
|
On Divisorial Submodules
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Ahmad Yousefian Darani(University of Mohaghegh Ardabili); Mahdi Rahmatinia(University of Mohaghegh Ardabili)"
] |
This paper is devoted to study the divisorial submodules. We get some equivalent conditions for a submodule to be a divisorial submodule. Also we get equivalent conditions for (N∩L)-¹ to be a ring, where N,L are submodules of a module M.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058769
|
oai_dc
|
Finite Operators and Weyl Type Theorems for Quasi-*-n-Paranormal Operators
|
Finite Operators and Weyl Type Theorems for Quasi-*-n-Paranormal Operators
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Fei Zuo(Henan Normal University); Wei Yan(Henan Normal University)"
] |
In this paper, we mainly obtain the following assertions: (1) If T is a quasi-*-n-paranormal operator, then T is finite and simply polaroid. (2) If T or T* is a quasi-*-n-paranormal operator, then Weyl's theorem holds for f(T), where f is an analytic function on σ(T) and is not constant on each connected component of the open set U containing σ(T). (3) If E is the Riesz idempotent for a nonzero isolated point λ of the spectrum of a quasi-*-n-paranormal operator, then E is self-adjoint and EH = N(T-λ) = N(T-λ)*.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058683
|
oai_dc
|
Characteristic Genera of Closed Orientable 3-Manifolds
|
Characteristic Genera of Closed Orientable 3-Manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Akio Kawauchi(Osaka City University)"
] |
A complete invariant defined for (closed connected orientable) 3-manifolds is an invariant defined for the 3-manifolds such that any two 3-manifolds with the same invariant are homeomorphic. Further, if the 3-manifold itself can be reconstructed from the data of the complete invariant, then it is called a characteristic invariant dened for the 3-manifolds. In a previous work, a characteristic lattice point invariant dened for the 3-manifolds was constructed by using an embedding of the prime links into the set of lattice points. In this paper, a characteristic rational invariant defined for the 3- manifolds called the characteristic genus dened for the 3-manifolds is constructed by using an embedding of a set of lattice points called the PDelta set into the set of rational numbers. The characteristic genus defined for the 3-manifolds is also compared with the Heegaard genus, the bridge genus and the braid genus defined for the 3-manifolds. By using this characteristic rational invariant defined for the 3-manifolds, a smooth real function with the definition interval (-1, 1) called the characteristic genus function is constructed as a characteristic invariant defined for the 3-manifolds.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058783
|
oai_dc
|
On Some Bounds for the Parameter λ in Steffensen’s Inequality
|
On Some Bounds for the Parameter λ in Steffensen’s Inequality
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Josip Pečarić(University of Zagreb); Ksenija Smoljak Kalamir(University of Zagreb)"
] |
The object is to obtain weaker conditions for the parameter λ in Steffensen's inequality and its generalizations and refinements additionally assuming nonnegativity of the function f. Furthermore, we contribute to the investigation of the Bellman-type inequalites establishing better bounds for the parameter λ.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058785
|
oai_dc
|
General Theorem for Explicit Evaluations and Reciprocity Theorems for Ramanujan-Göllnitz-Gordon Continued Fraction
|
General Theorem for Explicit Evaluations and Reciprocity Theorems for Ramanujan-Göllnitz-Gordon Continued Fraction
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Nipen Saikia(Rajiv Gandhi University)"
] |
In the paper A new parameter for Ramanujan's theta-functions and explicit values, Arab J. Math. Sc., 18 (2012), 105-119, Saikia studied the parameter Ak,n involving Ramanujan’s theta-functions ϕ(q) and ψ(q) for any positive real numbers k and n and applied it to find explicit values of ψ(q). As more application to the parameter Ak;n, in this paper we prove a new general theorem for explicit evaluation of Ramanujan-G¨ollnitz- Gordon continued fraction K(q) in terms of the parameter Ak,n and give examples. We also find some new explicit values of the parameter Ak,n and offer reciprocity theorems for the continued fraction K(q).
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058687
|
oai_dc
|
A Fixed Point on Generalised Cone Metric Spaces
|
A Fixed Point on Generalised Cone Metric Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Sudip Kumar Pal(University of Kalyani); Manojit Maity(Boral High School)"
] |
The study of fixed points of mappings satisfying certain contractive conditions has been very active area of research. Recently Long-Guang and Xian [9] generalised the concept of a metric space, by introducing cone metric spaces, and obtained some fixed point theorem for mappings satisfying certain contractive conditions. One can consider a generalisation of a cone metric space by replacing the triangle inequality by a more general inequality. As such, every cone metric is a generalised cone metric space but the converse is not true. However the interesting point to note that two very important fixed point theorems, namely Banach's fixed point theorem and Ciric's fixed point theorem have already establised in such a space. In this paper we continue in this direction and prove a fixed point theorem of Boyed and Wang [2],[5] under fairly general condition a generalised cone metric spaces.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058761
|
oai_dc
|
On Zeros of Polynomials with Restricted Coefficients
|
On Zeros of Polynomials with Restricted Coefficients
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Tawheeda Rasool(National Institute of Technology Srinagar-190006); Irshad Ahmad(National Institute of Technology Srinagar-190006); Ab Liman(National Institute of Technology Srinagar-190006)"
] |
Let P(z) = Σn j=0 ajzj be a polynomial of degree n and Re aj = αj , Im aj = βj . In this paper, we have obtained a zero- free region for polynomials in terms of αj and βj and also obtain the bound for number of zeros that can lie in a prescribed region.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058762
|
oai_dc
|
Some Analogues of a Result of Vasconcelos
|
Some Analogues of a Result of Vasconcelos
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"David Earl Dobbs(University of Tennessee); Jay Allen Shapiro(George Mason University)"
] |
Let R be a commutative ring with total quotient ring K. Each monomorphic R-module endomorphism of a cyclic R-module is an isomorphism if and only if R has Krull dimension 0. Each monomorphic R-module endomorphism of R is an isomorphism if and only if R=K. We say that R has property (＊) if for each nonzero element a in R, each monomorphic R-module endomorphism of R/Ra is an isomorphism. If R has property (＊), then each nonzero principal prime ideal of R is a maximal ideal, but the converse is false, even for integral domains of Krull dimension 2. An integral domain R has property (＊) if and only if R has no R-sequence of length 2, the " if " assertion fails in general for non-domain rings R. Each treed domain has property (＊), but the converse is false.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058773
|
oai_dc
|
Nearly κ-th Partial Ternary Quadratic *-Derivations
|
Nearly κ-th Partial Ternary Quadratic *-Derivations
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Berna Arslan(Adnan Menderes University); Hülya Inceboz(Adnan Menderes University); Ali Guven(Balikesir University)"
] |
The Hyers-Ulam-Rassias stability of the κ-th partial ternary quadratic derivations is investigated in non-Archimedean Banach ternary algebras and non-Archimedean C*-ternary algebras by using the fixed point theorem.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058780
|
oai_dc
|
On a Class of Spirallike Functions associated with a FractionalCalculus Operator
|
On a Class of Spirallike Functions associated with a FractionalCalculus Operator
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Kuppathai Appasamy Selvakumaran(R. M. K College of Engg. and Technology); Geetha Balachandar(R. M. K College of Engg. and Technology); Pugazhenthi Rajaguru(Arignar Anna Govt. Arts College)"
] |
In this article, by making use of a linear multiplier fractional differential operator D{δ,m}{λ}, we introduce a new subclass of spiral-like functions. The main object is to provide some subordination results for functions in this class. We also find sufficient conditions for a function to be in the class and derive Fekete-Szego inequalities.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058717
|
oai_dc
|
The Kauffman Polynomial and Trivalent Graphs
|
The Kauffman Polynomial and Trivalent Graphs
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Carmen Caprau(California State University-Fresno); James Tipton(The University of Iowa)"
] |
We construct a state model for the two-variable Kauffman polynomial using planar trivalent graphs. We also use this model to obtain a polynomial invariant for a certain type of trivalent graphs embedded in R3.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058787
|
oai_dc
|
Existence and Non-Existence of Positive Solutions of BVPsfor Singular ODEs on Whole Lines
|
Existence and Non-Existence of Positive Solutions of BVPsfor Singular ODEs on Whole Lines
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"YUJI LIU(Guangdong University); Pinghuan Yang(Shijiazhuang Mechanical Engineering College)"
] |
This paper is concerned with integral type boundary value problems of second order singular differential equations with quasi-Laplacian on whole lines. Sufficient conditions to guarantee the existence and non-existence of positive solutions are established. The emphasis is put on the non-linear term [Φ(ρ(t)x′(t))]′ involved with the nonnegative singular function ρ and the singular nonlinearity term f in differential equations. Two examples are given to illustrate the main results.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058789
|
oai_dc
|
Inclusion and Subordination Properties of Multivalent Analytic Functions Involving Cho-Kwon-Srivastava Operator
|
Inclusion and Subordination Properties of Multivalent Analytic Functions Involving Cho-Kwon-Srivastava Operator
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jagannath Patel(Utkal University); Ashok Kumar Sahoo(VSS University of Technology)"
] |
The object of the present paper is to derive some inclusion and subordination results for certain classes of multivalent analytic functions in the open unit disk, which are defined in terms of the Cho-Kwon-Srivastava operator. Some interesting corollaries are derived and the relevant connection of the results obtained in this paper with various known results are also pointed out.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058791
|
oai_dc
|
Point Values and Normalization of Two-Direction Multiwaveletsand their Derivatives
|
Point Values and Normalization of Two-Direction Multiwaveletsand their Derivatives
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Fritz Keinert(Iowa State University); 권순걸(순천대학교)"
] |
A two-direction multiscaling function Φ satisfies a recursion relation that uses scaled and translated versions of both itself and its reverse. This offers a more general and flexible setting than standard one-direction wavelet theory. In this paper, we investigate how to find and normalize point values and derivative values of two-direction multiscaling and multiwavelet functions. Determination of point values is based on the eigenvalue approach. Normalization is based on normalizing conditions for the continuous moments of Φ. Examples for illustrating the general theory are given.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058796
|
oai_dc
|
The Existence of Fixed Points for Generalized Weak Contractions
|
The Existence of Fixed Points for Generalized Weak Contractions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Zhiqun Xue(Shijiazhuang Tiedao University)"
] |
In this paper, we study the existence and uniqueness of fixed points for generalized weak contractions under some proper assumptions. Our theorems include the known results of [1]-[6].
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002058798
|
oai_dc
|
Indefinite Generalized Sasakian Space Form Admitting a Lightlike Hypersurface
|
Indefinite Generalized Sasakian Space Form Admitting a Lightlike Hypersurface
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"진대호(동국대학교)"
] |
In this paper, we study the geometry of indefinite generalized Sasakian space form bar{M}(f₁, f₂, f₃) admitting a lightlike hypersurface M subject such that the almost contact structure vector field ζ of bar M(f₁, f₂, f₃) is tangent to M. We prove a classification theorem of such an indefinite generalized Sasakian space form.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097605
|
oai_dc
|
A Note on Continued Fractions and Mock Theta Functions
|
A Note on Continued Fractions and Mock Theta Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Pankaj Srivastava(Motilal Nehru National Institute of Technology); Priya Gupta(Motilal Nehru National Institute of Technology)"
] |
Mock theta functions are the mostinteresting topic mentioned in Ramanujan's Lost Notebook, due to itsemerging application in the field of Number theory, Quantuminvariants theory and etc. In the present research articles we havemade an attempt to develop continued fractions representation of allthe existing Mock theta functions.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097606
|
oai_dc
|
Lp-Boundedness for the Littlewood-Paley g-Function Connected with the Riemann-Liouville Operator
|
Lp-Boundedness for the Littlewood-Paley g-Function Connected with the Riemann-Liouville Operator
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Lakhdar Tannech Rachdi(Faculte des Sciences de Tunis); Besma Amri(Faculte des Sciences de Tunis); Chirine Chettaoui(Faculte des Sciences de Tunis)"
] |
We study the Gauss and Poisson semigroups connected with the Riemann-Liouville operator defined on the half plane. Next, we establish aprinciple of maximum for the singular partial differential operator$$\Delta_\alpha=\frac{\partial^2}{\partial r^2}+\frac{2\alpha+1}{r}\ \frac{\partial}{\partial r}+\frac{\partial^2}{\partial x^2}+\frac{\partial^2}{\partial t^2};\(r,x,t)\in\ ]0,+\infty[\times\mathbb{R}\times]0,+\infty[.$$Later, we define the Littlewood-Paley $g$-function and using the principle of maximum, we prove that for every $p\in\ ]1,+\infty[$, there exists a positive constant$C_p$ such that for every $f\in\ L^p(d\nu_\alpha)$,$$\frac{1}{C_p}\ ||f||_{p,\nu_\alpha}\leqslant ||g(f)||_{p,\nu_\alpha}\leqslant C_p\ ||f||_{p,\nu_\alpha}.$$
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097596
|
oai_dc
|
Semi M-Projective and Semi N-Injective Modules
|
Semi M-Projective and Semi N-Injective Modules
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hamza Hakmi(Damascus University)"
] |
Let $M$ and $N$ be modules over a ring $R$. The purpose of this paper is to study modules $M,N$ for which the bi-module $[M,N]$ is regular or $pi$. It is proved that the bi-module $[M,N]$ is regular if and only if a module $N$ is semi $M-$projective and $\text {Im}(\alpha)\subseteq^{\oplus} N$ for all $\alpha\in [M,N]$, if and only if a module $M$ is semi$N-$injective and $\text {Ker}(\alpha)\subseteq^{\oplus} N$ for all $\alpha\in [M,N]$. Also, it is proved that the bi-module$[M,N]$ is $pi$ if and only if a module $N$ is direct $M-$projective and for any $\alpha\in [M,N]$ there exists $\beta\in [N,M]$ such that $\text {Im}(\alpha\beta)\subseteq^{\oplus} N$, if and only if a module $M$ is direct $N-$injective and for any $\alpha\in [M,N]$ there exists $\beta\in [N,M]$ such that $\text {Ker}(\beta\alpha)\subseteq^{\oplus} M$. The relationship between the Jacobson radical and the (co)singular ideal of $[M,N]$ is described.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097597
|
oai_dc
|
Structures of Pseudo Ideal and Pseudo Atom in a Pseudo Q-Algebra
|
Structures of Pseudo Ideal and Pseudo Atom in a Pseudo Q-Algebra
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"전영배(경상대학교); 김희식(한양대학교); 안선신(동국대학교)"
] |
As a generalization of Q-algebra,the notion of pseudo Q-algebra is introduced, and some of theirproperties are investigated. The notions of pseudo subalgebra,pseudo ideal, and pseudo atom in a pseudo Q-algebra areintroduced. Characterizations of their properties are provided.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097598
|
oai_dc
|
On 2-Absorbing and Weakly 2-Absorbing Primary Ideals of a Commutative Semiring
|
On 2-Absorbing and Weakly 2-Absorbing Primary Ideals of a Commutative Semiring
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Fatemeh Soheilnia(Islamic Azad University)"
] |
Let $R$ be a commutative semiring.
The purpose of this note is to investigate the concept of$2$-absorbing (resp., weakly $2$-absorbing) primary idealsgeneralizing of $2$-absorbing (resp., weakly $2$-absorbing) idealsof semirings. A proper ideal $I$ of $R$ said to be a $2$-absorbing(resp., weakly $2$-absorbing) primary ideal if whenever $a,b,c\in R$such that $abc\in I$ (resp., $0\neq abc\in I$), then either $ab\inI$ or $bc\in \sqrt{I}$ or $ac\in \sqrt{I}$. Moreover, when $I$ is a$Q$-ideal and $P$ is a $k$-ideal of $R/I$ with $I\subseteq P$, it isshown that if $P$ is a $2$-absorbing (resp., weakly $2$-absorbing)primary ideal of $R$, then $P/I$ is a $2$-absorbing (resp., weakly$2$-absorbing) primary ideal of $R/I$ and it is also proved that if$I$ and $P/I$ are weakly $2$-absorbing primary ideals, then $P$ is aweakly $2$-absorbing primary ideal of $R$.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097599
|
oai_dc
|
On a Problem Posed by Belcastro and Sherman
|
On a Problem Posed by Belcastro and Sherman
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Jutirekha Dutta(North-Eastern Hill University)"
] |
In this paper, we compute the number of distinct centralizers and commutativity degree of a class of finite groups. These computations produce a further class of examples of groups answering one question raised by Belcastro and Sherman and another one raised by Lescot.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097600
|
oai_dc
|
A Difference of Two Composition Operators on L2 and H2
|
A Difference of Two Composition Operators on L2 and H2
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Takahiko Nakazi(Hokkaido University)"
] |
A finite rank difference of twocomposition operators is studied on a Hilbert Lebesgue space or aHilbert Hardy space.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097590
|
oai_dc
|
Ternary Distributive Structures and Quandles
|
Ternary Distributive Structures and Quandles
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mohamed Elhamdadi(Department of Mathematics, University of South Florida, USA); Matthew Green(Department of Mathematics, University of South Florida, USA); Abdenacer Makhlouf(Department of Mathematics, Universit´e de Haute Alsace, France)"
] |
We introduce a notion of ternary distributive algebraic structure, give examples,and relate it to the notion of a quandle. Classification is given for low order structuresof this type. Constructions of such structures from 3-Lie algebras are provided. We alsodescribe ternary distributive algebraic structures coming from groups and give examplesfrom vector spaces whose bases are elements of a finite ternary distributive set. We introducea cohomology theory that is analogous to Hochschild cohomology and relate it to aformal deformation theory of these structures.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097591
|
oai_dc
|
Forced Oscillation Criteria for Nonlinear Hyperbolic Equations via Riccati Method
|
Forced Oscillation Criteria for Nonlinear Hyperbolic Equations via Riccati Method
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Yutaka Shoukaku(Kanazawa University)"
] |
In this paper, we consider the nonlinear hyperbolic equations with forcingterm. Some suffcient conditions for the oscillation are derived by using integral averagingmethod and a generalized Riccati technique.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097592
|
oai_dc
|
On Prime Cordial Labeling of Graphs
|
On Prime Cordial Labeling of Graphs
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Abdullah Aljouiee(Al Imam Mohammad)"
] |
A graph G of order n has prime cordial labeling if its vertices can be assignedthe distinct labels 1, 2, ... , n such that if each edge xy in G is assigned the label 1 in casethe labels of x and y are relatively prime and 0 otherwise, then the number of edges labeledwith 0 and the number of edges labeled with 1 differ by at most 1. In this paper, we give acomplete characterization of complete graphs which are prime cordial and we give a primecordial labeling of the closed helm Hn, and present a new way of prime cordial labeling ofP2n. Finally we make a correction of the proof of Theorem 2.5 in [12].
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097601
|
oai_dc
|
Integral Formulas Involving a Product of Generalized Bessel Functions of the First Kind
|
Integral Formulas Involving a Product of Generalized Bessel Functions of the First Kind
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"최준상(동국대학교); Dinesh Kumar(Jai Narain Vyas University); Sunil Dutt Purohit(Rajasthan Technical University)"
] |
The main object of this paper is to present two general integral formulaswhose integrands are the integrand given in the integral formula \eqref{sec1eqn3}and a finite product of the generalized Bessel function of the first kind.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097607
|
oai_dc
|
Approximating Coupled Solutions of Coupled PBVPs of Non-linear First Order Ordinary Differential Equations
|
Approximating Coupled Solutions of Coupled PBVPs of Non-linear First Order Ordinary Differential Equations
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Bapurao Chandrabhan Dhage(Gurukul Colony, India)"
] |
The present paper proposes a new monotone iteration method for existence as well as approximation of the coupled solutions for a coupled periodic boundary value problem of first order ordinary nonlinear differential equations. A new hybrid coupled fixed point theorem involving the Dhage iteration principle is proved in a partially ordered normed linear space and applied to the coupled periodic boundary value problems for proving the main existence and approximation results of this paper. An algorithm for the coupled solutions is developed and it is shown that the sequences of successive approximations defined in a certain way converge monotonically to the coupled solutions of the related differential equations under some suitable mixed hybrid conditions. A numerical example is also indicated to illustrate the abstract theory developed in the paper.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097608
|
oai_dc
|
Suffciency Conditions for Hypergeometric Functions to be in a Subclasses of Analytic Functions
|
Suffciency Conditions for Hypergeometric Functions to be in a Subclasses of Analytic Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mohamed Kamal Aouf(Mansoura University); Adela Osman Mostafa(Damietta University); Hanaa Mousa Zayed(Menofia University)"
] |
The purpose of this paper is tointroduce sufficient conditions for (Gaussian) hypergeometricfunctions to be in various subclasses of analytic functions. Also,we investigate several mapping properties involving thesesubclasses.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097613
|
oai_dc
|
On Paraopen Sets and Maps in Topological Spaces
|
On Paraopen Sets and Maps in Topological Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Basavaraj M. Ittanagi(Siddaganga Institute of Technology); Shivanagappa S. Benchalli(Karnatak University)"
] |
In this paper, we introduce and study the concept of a new class of sets called paraopen sets and paraclosed sets in topological spaces. During this process some of their properties are obtained. Also we introduce and investigate a new class of maps called paracontinuous, *-paracontinuous, parairresolute, minimal paracontinuous and maximal paracontinuous maps and study their basic properties in topological spaces.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097593
|
oai_dc
|
Dynamical Behaviors of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response
|
Dynamical Behaviors of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"최윤호(부산대학교); 백헌기(대구가톨릭대학교)"
] |
In this paper, we consider a discrete predator-prey system obtained from a continuous Beddington-DeAngelis type predator-prey system by using the method in [9]. In order to investigate dynamical behaviors of this discrete system, we find out all equilibrium points of the system and study their stability by using eigenvalues of a Jacobian matrix for each equilibrium points. In addition, we illustrate some numerical examples in order to substantiate theoretical results.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097602
|
oai_dc
|
Oscillation Results for Second Order Nonlinear Differential Equation with Delay and Advanced Arguments
|
Oscillation Results for Second Order Nonlinear Differential Equation with Delay and Advanced Arguments
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Ethiraju Thandapani(University of Madras); Srinivasan Selvarangam(Presidency College); Murugesan Vijaya(Queen Mary's College); Renu Rama(Quaid-e-Millath Govt. College for Women)"
] |
In this paper we study theoscillation criteria for the second order nonlinear differentialequation with delay and advanced arguments of the form\begin{equation*}\left(\left[x(t)+a(t)x(t-\sigma_1)+b(t)x(t+\sigma_2)\right]^\alpha\right)''+q(t)x^\beta(t-\tau_1)+p(t)x^\gamma(t+\tau_2)=0,~t\geq t_0\end{equation*}where $\sigma_1,~\sigma_2,~\tau_1$ and $\tau_2$ are nonnegativeconstants and $\alpha,~\beta$ and $\gamma$ are the ratios of oddpositive integers. Examples are provided to illustrate the mainresults.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097603
|
oai_dc
|
Some Properties for Certain Subclasses of Starlike Functions Defined by Convolution
|
Some Properties for Certain Subclasses of Starlike Functions Defined by Convolution
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"R. M. EL-Ashwah(Damietta University); F. M. Abdulkarem(Damietta University); M. K. Aouf(Mansoura University)"
] |
In this paper, we obtainedsome properties for subclasses of starlike functions defined byconvolution such as partial sums, integral means, square root andintegral transform for these classes.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097604
|
oai_dc
|
New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals
|
New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Cetin Yildiz(Ataturk University); Muhamet Emin Ozdemir(Uludag University); Mehmet Zeki Sarikaya(Duzce University)"
] |
In this paper, we use the Riemann-Liouville fractional integrals toestablish several new inequalities for some differantiable mappings that areconnected with the celebrated Ostrowski type integral inequality.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097609
|
oai_dc
|
Quantum Super Theta Vectors and Theta Functions
|
Quantum Super Theta Vectors and Theta Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"김호일(경북대학교)"
] |
There are many concepts aroundclassical theta functions, theta vectors and quantum thetafunctions. Manin clarified the relation among these concepts withthe symmetry of functional equations. We extend his results to thesuper torus.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097610
|
oai_dc
|
Invariant Trace Fields of Chain Links
|
Invariant Trace Fields of Chain Links
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Kazuhiro Ryou(Tokyo Institute of Technology)"
] |
In this paper, we compute the trace field of $C(2,s)$, the complement of two component chain link with $s$ left half twists in $\mathbb{S}^{3}$, for every $s$. As a result, for every $n\in\mathbb{N}\setminus\{1\}$, we can find $s\in\mathbb{Z}$ such that the degree of the trace field of $C(2,s)$ is $n$. We also prove that if for fixed $p$, the degree of the trace field of $C(p,s)$ runs over $\mathbb{N}\setminus\{1\}$, then $p$ is contained in $\{1,2,4,8\}$.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097611
|
oai_dc
|
Biharmonic Hypersurfaces with Constant Scalar Curvature in E5s
|
Biharmonic Hypersurfaces with Constant Scalar Curvature in E_{5}^{s}
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Deepika(Guru Gobind Singh Indraprastha University); Ram Shankar Gupta(Guru Gobind Singh Indraprastha University); A. Sharfuddin(Jamia Millia Islamia)"
] |
In this paper, we obtain that everybiharmonic non-degenerate hypersurfaces in semi-Euclidean space$E_{s}^{5}$ with constant scalar curvature of diagonal shapeoperator has zero mean curvature.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097612
|
oai_dc
|
Polarized Super Torus
|
Polarized Super Torus
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"김호일(경북대학교)"
] |
For the complex torus, there is theRiemann condition on the polarization for it to be an abelianvariety. We extend this condition on the super torus for superabelian variety.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097594
|
oai_dc
|
On Approximation by Matrix Means of the Multiple Fourier Series in the Holder Metric
|
On Approximation by Matrix Means of the Multiple Fourier Series in the Holder Metric
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"U~gur De~ger(Mersin University)"
] |
In this work, we shall give the degree of approximation for functions belongingto Holder class by matrix summability method of multiple Fourier series in the Holdermetric.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002097595
|
oai_dc
|
The k-Rainbow Domination and Domatic Numbers of Digraphs
|
The k-Rainbow Domination and Domatic Numbers of Digraphs
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"S. M. Sheikholeslami(Azarbaijan Shahid Madani University); Lutz Volkmann(RWTH Aachen University)"
] |
For a positive integer $k$, a {\em$k$-rainbow dominating function} of a digraph $D$ is a function $f$from the vertex set $V(D)$ to the set of all subsets of the set$\{1,2,\ldots,k\}$ such that for any vertex $v\in V(D)$ with$f(v)=\emptyset$ the condition $\bigcup_{u\inN^-(v)}f(u)=\{1,2,\ldots,k\}$ is fulfilled, where $N^-(v)$ is theset of in-neighbors of $v$. A set $\{f_1,f_2,\ldots,f_d\}$ of$k$-rainbow dominating functions on $D$ with the property that$\sum_{i=1}^d|f_i(v)|\le k$ for each $v\in V(D)$, is called a {\em$k$-rainbow dominating family} (of functions) on $D$. The maximumnumber of functions in a $k$-rainbow dominating family on $D$ is the{\em $k$-rainbow domatic number} of $D$, denoted by $d_{rk}(D)$. Inthis paper we initiate the study of the $k$-rainbow domatic numberin digraphs, and we present some bounds for $d_{rk}(D)$.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008612
|
oai_dc
|
Note on the Generalized Invertibility of a-xy
|
Note on the Generalized Invertibility of a-xy
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Fapeng Du(Southeast University); Yifeng Xue(East China Normal University)"
] |
Let A be a unital C*-algebra, a,x and y are elements in A. In this paper, we present the expression of the Moore-Penrose inverse and the group inverse of a-xy*under the conditions x = aa+x, y*= y*a+a, respectively.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008610
|
oai_dc
|
On a (r,s)-Analogue of Changhee and Daehee Numbers and Polynomials
|
On a (r,s)-Analogue of Changhee and Daehee Numbers and Polynomials
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"조영기(경북대학교); 김태균(광운대학교); Toufik Mansour(University of Haifa); 임석훈(경북대학교)"
] |
We consider Witt-type formula for the extension of Changchee and Daehee numbers and polynomials. We derive some identities and properties of those numbers and polynomials which are related to special polynomials.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008611
|
oai_dc
|
Studying Solutions of a System of PDE Through Representations of D4
|
Studying Solutions of a System of PDE Through Representations of D4
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Sarawut Saenkarun(Ubonrachathani University)"
] |
This paper is concerned with applications of representations of the Lie group of class D4 to PDE. A realization of all irreducible finite-dimensional representations of D4 is found and their application to a study of solutions of some systems of partial differential equations is given.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008621
|
oai_dc
|
Certain Subclass of p-Valent Meromorphic Functions Associated with Linear Operator
|
Certain Subclass of p-Valent Meromorphic Functions Associated with Linear Operator
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"A. O. Mostafa(Mansoura University); M. K. Aouf(Mansoura University); A. Shamandy(Mansoura University); Eman Ahmed Adwan(Mansoura University)"
] |
In this paper, we introduce a class of p-valent meromorphic functions associated with linear operator and derive several interesting results of this class.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008660
|
oai_dc
|
Extended by Balk Metrics
|
Extended by Balk Metrics
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Oleksiy Dovgoshey(Institute Mathematics of NASU); Dmytro Dordovskyi(Institute of Applied Mathematics and Mechanics of NASU)"
] |
Let X be a nonempty set and mathcal F(X) be the set of nonempty finite subsets of X. The paper deals with the extended metrics τ : F(X)→ R recently introduced by Peter Balk. Balk's metrics and their restriction to the family of sets A with |A| n make possible to consider "distance functions" with n variables and related them quantities. In particular, we study such type generalized diameters diam tn and find conditions under which B ↦ diam τn B is a Balk's metric. We prove the necessary and sufficient conditions under which the restriction τ to the set of A ∈ F(X) with |A| 3 is a symmetric G-metric. An infinitesimal analog for extended by Balk metrics is constructed.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008630
|
oai_dc
|
Approximation of Common Fixed Points of Two Strictly Pseudononspreading Multivalued Mappings in {R}-Trees
|
Approximation of Common Fixed Points of Two Strictly Pseudononspreading Multivalued Mappings in {R}-Trees
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Withun Phuengrattana(Nakhon Pathom Rajabhat University)"
] |
In this paper, we introduce and study a new multivalued mapping in R-trees, called k-strictly pseudononspreading. We also introduce a new two-step iterative process for two k-strictly pseudononspreading multivalued mappings in R-trees. Strong convergence theorems of the proposed iteration to a common fixed point of two k-strictly pseudononspreading multivalued mappings in R-trees are established. Our results improve and extend the corresponding results existing in the literature.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008641
|
oai_dc
|
Radii of Starlikeness and Convexity for Analytic Functions with Fixed Second Coefficient Satisfying Certain Coefficient Inequalities
|
Radii of Starlikeness and Convexity for Analytic Functions with Fixed Second Coefficient Satisfying Certain Coefficient Inequalities
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Rajni Mendiratta(University of Delhi); Sumit Nagpal(University of Delhi); V. Ravichandran(University of Delhi)"
] |
For functions f(z)=z+a2 z2+a3 z3+ · · · with |a2|=2b, b ≥ 0, sharp radii of starlikeness of order α (0 ≤ α<1), convexity of order α (0 ≤ α<1), parabolic starlikeness and uniform convexity are derived when |an| ≤ M/n2 or |an| ≤ M n2 (M>0). Radii constants in other instances are also obtained.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008645
|
oai_dc
|
Uniqueness of Meromorphic Functions Concerning the Difference Polynomials
|
Uniqueness of Meromorphic Functions Concerning the Difference Polynomials
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Fanghong Liu(Shandong Xiehe University); Hong-Xun Yi(Shandong University)"
] |
In this article, we main study the uniqueness problem of meromorphic func- tion which difference polynomials sharing common values. We consider the entire function (fn(fm-1) ∏s j=1 f(z+cj)μj)(k) and the meromorphic function fn(fm-1) ∏s j=1 f(z+cj)μj to get the main results which extend Theorem 1.1 in paper[5] and theorem 1.4 in paper[6].
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008651
|
oai_dc
|
Coefficient Inequality for Transforms of Starlike and Convex Functions with Respect to Symmetric Points
|
Coefficient Inequality for Transforms of Starlike and Convex Functions with Respect to Symmetric Points
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Deekonda Vamshee Krishna(GITAM University); Bollineni Venkateswarlu(GITAM University); Thoutreddy Ramreddy(Kakatiya University)"
] |
The objective of this paper is to obtain sharp upper bound for the second Hankel functional associated with the kth root transform [ f(zk) ] 1k of normalized analytic function f(z) when it belongs to the class of starlike and convex functions with respect to symmetric points, dened on the open unit disc in the complex plane, using Toeplitz determinants.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008656
|
oai_dc
|
Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z]
|
Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z]
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"최준상(동국대학교); Xiaoxia Wang(Shanghai University); Arjun K. Rathie(Central University of Kerala)"
] |
Very recently the authors have obtained a very interesting reduction formula for the Srivastava's triple hypergeometric series F(3)(x, y, z) by applying the so-called Beta integral method to the Henrici's triple product formula for the hypergeometric se- ries. In this sequel, we also present three more interesting reduction formulas for the function F(3)(x, y, z) by using the well known identities due to Bailey and Ramanujan.
The results established here are simple, easily derived and (potentially) useful.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008663
|
oai_dc
|
Center of Gravity and a Characterization of Parabolas
|
Center of Gravity and a Characterization of Parabolas
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"김동수(전남대학교); 박숙희(전남대학교); 김영호(경북대학교)"
] |
Archimedes determined the center of gravity of a parabolic section as follows.
For a parabolic section between a parabola and any chord AB on the parabola, let us denote by P the point on the parabola where the tangent is parallel to AB and by V the point where the line through P parallel to the axis of the parabola meets the chord AB.
Then the center G of gravity of the section lies on PV called the axis of the parabolic section with PG = 3 5PV . In this paper, we study strictly locally convex plane curves satisfying the above center of gravity properties. As a result, we prove that among strictly locally convex plane curves, those properties characterize parabolas.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008618
|
oai_dc
|
Error Control Strategy in Error Correction Methods
|
Error Control Strategy in Error Correction Methods
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"김필수(경북대학교); 부선영(홍익대학교)"
] |
In this paper, we present the error control techniques for the error correction methods (ECM) which is recently developed by P. Kim et al.[8, 9] We formulate the local truncation error at each time and calculate the approximated solution using the solution and the formulated truncation error at previous time for achieving uniform error bound which enables a long time simulation. Numerical results show that the error controlled ECM provides a clue to have uniform error bound for well conditioned problems [1]
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008627
|
oai_dc
|
On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core
|
On the Fibonacci Almost Convergent Sequence Space and Fibonacci Core
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Serkan Demiriz(Gaziosmanpasa University); Emrah Evren Kara(Duzce University); Metin Basarr(Sakarya University)"
] |
In the present paper, by using the Fibonacci difference matrix, we introduce the almost convergent sequence space cf . Also, we show that the spaces cf and bc are linearly isomorphic. Further, we determine the β-dual of the space cf and characterize some matrix classses on this space. Finally, Fibonacci core of a complex-valued sequence has been introduced, and we prove some inclusion theorems related to this new type of core.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008666
|
oai_dc
|
The Forbidden Number of a Knot
|
The Forbidden Number of a Knot
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Alissa S. Crans(Loyola Marymount University); Blake Mellor(Loyola Marymount University); Sandy Ganzell(St. Mary's College of Maryland)"
] |
Every classical or virtual knot is equivalent to the unknot via a sequence of extended Reidemeister moves and the so-called forbidden moves. The minimum number of forbidden moves necessary to unknot a given knot is an invariant we call the forbid-den number. We relate the forbidden number to several known invariants, and calculate bounds for some classes of virtual knots.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008619
|
oai_dc
|
A Fixed Point Approach to Stability of Quintic Functional Equations in Modular Spaces
|
A Fixed Point Approach to Stability of Quintic Functional Equations in Modular Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mohammad Bagher Ghaemi(Iran University of Science and Technology); Mehdi Choubin(Velayat University); Ghadir Sadeghi(Hakim Sabzevari University); Madjid Eshaghi Gordji(Semnan University)"
] |
In this paper, we present a fixed point method to prove generalized Hyers--Ulam stability of the systems of quadratic-cubic functional equations with constant coefficients in modular spaces.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008616
|
oai_dc
|
Double Domination in the Cartesian and Tensor Products of Graphs
|
Double Domination in the Cartesian and Tensor Products of Graphs
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Arnel Marino Cuivillas(Jose Rizal Memorial State University); Sergio R. Canoy, Jr.(Mindanao State University - Iligan Institute of Technology)"
] |
A subset S of V(G), where G is a graph without isolated vertices, is a double dominating set of G if for each x ∈ V(G), | NG[x]∩S|≥2. This paper, shows that any positive integers a, b and n with 2 ≤ a< b, b ≥ 2a and n ≥ b+2a-2, can be realized as domination number, double domination number and order, respectively.
It also characterize the double dominating sets in the Cartesian and tensor products of two graphs and determine sharp bounds for the double domination numbers of these graphs. In particular, it show that if G and H are any connected non-trivial graphs of orders n and m respectively, then γ×2(G□H) ≤ min{mγ2(G),nγ2(H)}, where γ2, is the 2-domination parameter.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008624
|
oai_dc
|
Subnormality and Weighted Composition Operators on L^2 Spaces
|
Subnormality and Weighted Composition Operators on L^2 Spaces
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mohammad Reza Azimi(University of Maragheh)"
] |
Subnormality of bounded weighted composition operators on L2(Σ) of the form Wf= uf ◦ T, where T is a nonsingular measurable transformation on the underlying space X of a σ-finite measure space (X,Σ,μ) and u is a weight function on X; is studied. The standard moment sequence characterizations of subnormality of weighted composition operators are given. It is shown that weighted composition operators are subnormal if and only if {Jn(x)}+∞ n=0 is a moment sequence for almost every x ∈ X, where Jn = hnEn(|u|2) ◦ T-n, hn = dμ◦T-n/dμ and En is the conditional expectation operator with respect to T-n Σ.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008636
|
oai_dc
|
Certain Subclasses of k-Uniformly Starlike and Convex Functions of Order alpha and Type beta with Varying Argument Coefficients
|
Certain Subclasses of k-Uniformly Starlike and Convex Functions of Order alpha and Type beta with Varying Argument Coefficients
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mohamed Kamal Aouf(Mansoura University); Nanjundan Magesh(Govt Arts College for Men); Jagadesan Yamini(Govt First Grade College)"
] |
In this paper, we define two new subclass of k-uniformly starlike and convex functions of order alpha type beta with varying argument of coefficients. Further, we obtain coefficient estimates, extreme points, growth and distortion bounds, radii of starlikeness, convexity and results on modified Hadamard products.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008614
|
oai_dc
|
On Graded Quasi-Prime Submodules
|
On Graded Quasi-Prime Submodules
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Khaldoun Al-Zoubi(Jordan University of Science and Technology); Rashid Abu-Dawwas(Yarmouk University)"
] |
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded quasi-prime submodules and give some basic results about graded quasi-prime submodules of graded modules. Special attention has been paid, when graded modules are graded multiplication, to find extra properties of these submodules. Furthermore, a topology related to graded quasi-prime submodules is introduced.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008622
|
oai_dc
|
Value Distribution of the Product of a Meromorphic Derivative and a Power of the Function
|
Value Distribution of the Product of a Meromorphic Derivative and a Power of the Function
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Indrajit Lahiri(University of Kalyani); Rajib Mukherjee(Krishnanath College)"
] |
In the paper we discuss the value distribution of the product of the derivative of a transcendental meromorphic function and a power of the function.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008617
|
oai_dc
|
Some Results on delta-Semiperfect Rings and delta-Supplemented Modules
|
Some Results on delta-Semiperfect Rings and delta-Supplemented Modules
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Cihat Abdioglu(Karamanoglu Mehmetbey University); Serap Sahinkaya(Gebze Institute of Technology)"
] |
In [9], the author extends the definition of lifting and supplemented modules to δ-lifting and δ-supplemented by replacing "small submodule" with "δ-small submodule" introduced by Zhou in [13]. The aim of this paper is to show new properties of δ-lifting and δ-supplemented modules. Especially, we show that any finite direct sum of delta-hollow modules is delta-supplemented. On the other hand, the notion of amply δ-supplemented modules is studied as a generalization of amply supplemented modules and several properties of these modules are given. We also prove that a module M is Artinian if and only if M is amply delta-supplemented and satisfies Descending Chain Condition (DCC) on δ-supplemented modules and on δ-small submodules. Finally, we obtain the following result: a ring R is right Artinian if and only if R is a δ-semiperfect ring which satisfies DCC on delta-small right ideals of R.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002008615
|
oai_dc
|
Vertex Antimagic Total Labeling of Digraphs
|
Vertex Antimagic Total Labeling of Digraphs
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"J. Pandimadevi(EMG Yadava women's College); S.P. Subbiah,(Mannar Thirumalai Naicker College)"
] |
In this paper we investigate the properties of (a, d)-vertex antimagic total labeling of a digraph D=(V,A). In this labeling, we assign to the vertices and arcs the consecutive integers from 1 to |V|+|A| and calculate the sum of labels at each vertex, i.e., the vertex label added to the labels on its out arcs. These sums form an arithmetical progression with initial term a and common difference d. We show the existence and non-existence of (a, d)-vertex antimagic total labeling for several class of digraphs, and show how to construct labelings for generalized de Bruijn digraphs. We conclude this paper with an open problem suitable for further research.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002033024
|
oai_dc
|
Certain Fractional Integral Operators and Extended General- ized Gauss Hypergeometric Functions
|
Certain Fractional Integral Operators and Extended General- ized Gauss Hypergeometric Functions
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"최준상(동국대학교); Praveen Agarwal(Anand International College of Engineering); Shilpi Jain(Poornima College of Engineering)"
] |
Several interesting and useful extensions of some familiar special functions such as Beta and Gauss hypergeometric functions and their properties have, recently, been investigated by many authors. Motivated mainly by those earlier works, we establish some fractional integral formulas involving the extended generalized Gauss hypergeometric function by using certain general pair of fractional integral operators involving Gauss hypergeometric function 2F1, Some interesting special cases of our main results are also considered.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032892
|
oai_dc
|
Polynomial Numerical Index of lp (1 < p < 1)
|
Polynomial Numerical Index of lp (1 < p < 1)
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"김성권(경북대학교)"
] |
We present some estimates for the polynomial numerical index of lp (1 < p < ∞).
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002033003
|
oai_dc
|
Fekete-Szego Inequalities for Quasi-Subordination Functions Classes of Complex Order
|
Fekete-Szego Inequalities for Quasi-Subordination Functions Classes of Complex Order
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Rabha El-Ashwah(Damietta University); Stanislawa Kanas(University of Rzeszow)"
] |
In this paper, we obtain Fekete-Szego inequalities for certain subclasses of analytic univalent functions of complex order associated with quasi-subordination.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032813
|
oai_dc
|
Weyl Type Theorems for Unbounded Hyponormal Operators
|
Weyl Type Theorems for Unbounded Hyponormal Operators
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Anuradha Gupta(University of Delhi); Karuna Mamtani(University of Delhi)"
] |
If T is an unbounded hyponormal operator on an in¯nite dimensional complex Hilbert space H with ½(T) 6= Á, then it is shown that T satis¯esWeyl's theorem, generalized Weyl's theorem, Browder's theorem and generalized Browder's theorem. The equivalence of generalized Weyl's theorem with generalized Browder's theorem, property (gw) with property (gb) and property (w) with property (b) have also been established. It is also shown that a-Browder's theorem holds for T as well as its adjoint T*.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032821
|
oai_dc
|
Quasi-Normal Relations - a New Class of Relations
|
Quasi-Normal Relations - a New Class of Relations
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Daniel Abraham Romano(East Sarajevo Univestity)"
] |
In this paper, concepts of quasi-normal and dually quasi-normal relations are introduced. Characterizations of these relations are obtained. In addition, particulary we show that the anti-order relation (=≤C) is a (dually) quasi-normal relation if and only if the partially ordered set (X, ) is an anti-chain.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032906
|
oai_dc
|
Differential Subordinations and Superordinations of Certain Meromorphic Functions associated with an Integral Operator
|
Differential Subordinations and Superordinations of Certain Meromorphic Functions associated with an Integral Operator
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Hanan Elsayed Darwis(Mansoura University); Abd Al-Monem Yousof Lashin(Mansoura University); Soliman Mohammed Soileh(Mansoura University)"
] |
Differential subordinations and superordinations results are obtained for certain meromorphic functions in the punctured unit disk which are associated with an integral operator. These results are obtained by investigating appropriate classes of a dmissible functions. Sandwich-type results are also obtained.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032603
|
oai_dc
|
Characterization of Additive (m,n)-Semihyperrings
|
Characterization of Additive (m,n)-Semihyperrings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Saeed Mirvakili(Yazd University); Bijan Davvaz(Yazd University)"
] |
We say that (R, f, g) is an additive (m, n)-semihyperring if R is a non-empty set, f is an m-ary associative hyperoperation, g is an n-ary associative operation and g is distributive with respect to f. In this paper, we describe a number of characterizations of additive (m, n)-semihyperrings which generalize well-known results. Also, we consider distinguished elements, hyperideals, Rees factors and regular relations. Later, we give a natural method to derive the quotient (m, n)-semihyperring.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032882
|
oai_dc
|
Some Properties of the Generalized Apostol Type Hermite- Based Polynomials
|
Some Properties of the Generalized Apostol Type Hermite- Based Polynomials
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Waseem Ahmad Khan(Integral University)"
] |
In this paper, we study some properties of the generalized Apostol type Hermite-based polynomials. which extend some known results. We also deduce some properties of the generalized Apostol-Bernoulli polynomials, the generalized Apostol-Euler polynomials and the generalized Apostol-Genocchi polynomials of high order. Numer- ous properties of these polynomials and some relationships between F(α) n (x, λ, μ, v, c) and HF(α) n (x, y, λ, μ, v, c) are established. Some implicit summation formulae and general sym- metry identities are derived by using di®erent analytical means and applying generating functions.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032847
|
oai_dc
|
Analysis, Control, and Synchronization of a 3-D Novel Jerk Chaotic System with Two Quadratic Nonlinearities
|
Analysis, Control, and Synchronization of a 3-D Novel Jerk Chaotic System with Two Quadratic Nonlinearities
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Sundarapandian Vaidyanathan(Vel Tech University)"
] |
In this research work, a seven-term 3-D novel jerk chaotic system with two quadratic nonlinearities has been proposed. The basic qualitative properties of the novel jerk chaotic system have been described in detail. Next, an adaptive backstepping controller is designed to stabilize the novel jerk chaotic system with two unknown parameters.
Moreover, an adaptive backstepping controller is designed to achieve complete chaos synchronization of the identical novel jerk chaotic systems with two unknown parameters.
MATLAB simulations have been shown in detail to illustrate all the main results developed for the 3-D novel jerk chaotic system.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032931
|
oai_dc
|
The Normality of Meromorphic Functions with Multiple Zeros and Poles Concerning Sharing Values
|
The Normality of Meromorphic Functions with Multiple Zeros and Poles Concerning Sharing Values
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Wang You-Ming(Hunan Agricultural University)"
] |
In this paper we study the problem of normal families of meromorphic func- tions concerning shared values. Let F be a family of meromorphic functions in the plane domain D ⊆ C and n, k be two positive integers such that n ≥ k + 1, and let a, b be two finite complex constants such that a ≠ 0. Suppose that (1) f + a(f(k))n and g + a(g(k))n share b in D for every pair of functions f, g ∈ F; (2) All zeros of f have multiplicity at least k + 2 and all poles of f have multiplicity at least 2 for each f in f ∈ F D; (3) Zeros of f(k)(z) are not the b points of f(z) for each f in F ∈ D. Then F is normal in D. And some examples are provided to show the result is sharp.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002033054
|
oai_dc
|
Quantization of the Crossing Number of a Knot Diagram
|
Quantization of the Crossing Number of a Knot Diagram
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Akio Kawauchi(Osaka City University); Ayaka Shimizu(Gunma National College of Technology)"
] |
We introduce the warping crossing polynomial of an oriented knot diagram by using the warping degrees of crossing points of the diagram. Given a closed transversely intersected plane curve, we consider oriented knot diagrams obtained from the plane curve as states to take the sum of the warping crossing polynomials for all the states for the plane curve. As an application, we show that every closed transversely intersected plane curve with even crossing points has two independent canonical orientations and every based closed transversely intersected plane curve with odd crossing points has two independent canonical orientations.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032946
|
oai_dc
|
Certain Nonlinear Differential Polynomials Sharing a Nonzero Polynomial with Finite Weight
|
Certain Nonlinear Differential Polynomials Sharing a Nonzero Polynomial with Finite Weight
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Abhijit Banerjee(University of Kalyani); Pulak Sahoo(University of Kalyani)"
] |
With the notion of weighted sharing of values we study the uniqueness of meromorphic functions when certain nonlinear differential polynomials share a nonzero polynomial. Our results improve some recent results including that of a present first au- thor [Kyungpook Math. J., 51(2011), 43-58].
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032973
|
oai_dc
|
Strong Convergence Theorems by Modified Four Step Itera tive Scheme with Errors for Three Nonexpansive Mappings
|
Strong Convergence Theorems by Modified Four Step Itera tive Scheme with Errors for Three Nonexpansive Mappings
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Pankaj Kumar Jhad(Sagar Institute of Science , Technology and Engineering); Amarjeet Singh Saluja(Institute for Excellence In Higher Education)"
] |
The aim of this paper is to prove strong convergence theorem by a modi¯ed three step iterative process with errors for three nonexpansive mappings in the frame work of uniformly smooth Banach spaces. The main feature of this scheme is that its special cases can handle both strong convergence like Halpern type and weak convergence like Ishikawa type iteration schemes. Our result extend and generalize the result of S. H. Khan [10], Kim and Xu [12] and many other authors.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032833
|
oai_dc
|
Pointless Form of Rough Sets
|
Pointless Form of Rough Sets
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Abolghasem Karimi Feizabadi(Islamic Azad University); Ali Akbar Estaji(Hakim Sabzevari University); Mostafa Abedi(Hakim Sabzevari University)"
] |
In this paper we introduce the pointfree version of rough sets. For this we consider a lattice L instead of the power set P(X) of a set X. We study the properties of lower and upper pointfree approximation, precise elements, and their relation with prime elements. Also, we study lower and upper pointfree approximation as a Galois connection, and discuss the relations between partitions and Galois connections
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032589
|
oai_dc
|
A Note on S-Noetherian Domains
|
A Note on S-Noetherian Domains
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"임정욱(경북대학교)"
] |
Let D be an integral domain, t be the so-called t-operation on D; and S be a (not necessarily saturated) multiplicative subset of D. In this paper, we study the Nagata ring of S-Noetherian domains and locally S-Noetherian domains. We also inves- tigate the t-Nagata ring of t-locally S-Noetherian domains. In fact, we show that if S is an anti-archimedean subset of D, then D is an S-Noetherian domain (respectively, locally S-Noetherian domain) if and only if the Nagata ring D[X]N is an S-Noetherian domain (respectively, locally S-Noetherian domain). We also prove that if S is an anti-archimedean subset of D, then D is a t-locally S-Noetherian domain if and only if the polynomial ring D[X] is a t-locally S-Noetherian domain, if and only if the t-Nagata ring D[X]Nv is a t-locally S-Noetherian domain.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002033017
|
oai_dc
|
Inequalities for a Polynomial and its Derivative
|
Inequalities for a Polynomial and its Derivative
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Mohammad Syed Pukhta(Sher-e-Kashmir University of Agricultural Sciences and Technology of Kashmir)"
] |
In this paper we consider the class of polynomials of the type p(z)=z s (a0 +∑ n−s j=μ aj zj ) , 1≤μ≤n−s , 0≤s≤n−1 having some zeros at origin and rest of zeros on or outside the boundary of a prescribed disk, and obtain the generalization of well known results.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002033041
|
oai_dc
|
Geometry of Energy and Bienergy Variations between Riemannian Manifolds
|
Geometry of Energy and Bienergy Variations between Riemannian Manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Ahmed Mohamed Cherif(Mascara National University); Mustapha Djaa(Relizane Center University)"
] |
In this note, we extend the de¯nition of harmonic and biharmonic maps via the variation of energy and bienergy between two Riemannian manifolds. In particular we present some new properties for the generalized stress energy tensor and the divergence of the generalized stress bienergy.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002032865
|
oai_dc
|
The Diophantine Equation ax6 + by3 + cz2 = 0 in Gaussian In- tegers
|
The Diophantine Equation ax6 + by3 + cz2 = 0 in Gaussian In- tegers
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Farzali Izadi(Urmia university); Foad Khoshnam(Urmia university)"
] |
In this article, we will examine the Diophantine equation ax6 +by3 +cz2 = 0, for arbitrary rational integers a, b, and c in Gaussian integers and find all the solutions of this equation for many different values of a, b, and c. Moreover, two equations of the type x6 ± iy3 + z2 = 0, and x6 + y3 ± wz2 = 0 are also discussed, where i is the imaginary unit and ! is a third root of unity.
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002033035
|
oai_dc
|
Certain Subclasses of Bi-Starlike and Bi-Convex Functions of Complex Order
|
Certain Subclasses of Bi-Starlike and Bi-Convex Functions of Complex Order
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Nanjundan Magesh(Government Arts College for Men); Vittalrao Kupparao Balaji(L. N. Government College)"
] |
In this paper, we introduce and investigate an interesting subclass MΣ(γ,λ,δ,φ) of analytic and bi-univalent functions of complex order in the open unit disk U. For functions belonging to the class MΣ(γ,λ,δ,φ) we investigate the coefficient estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would generalize and improve some recent works of [1],[5],[9]
|
수학
| null |
kci_detailed_000035.xml
|
|||
ART002033047
|
oai_dc
|
On a Type of Semi-Symmetric Non-Metric Connection on Riemannian Manifolds
|
On a Type of Semi-Symmetric Non-Metric Connection on Riemannian Manifolds
|
{
"journal_name": "경북대학교 자연과학대학 수학과",
"publisher": null,
"pub_year": null,
"pub_month": null,
"volume": null,
"issue": null
}
|
[
"Ajit Barman(Kabi Nazrul Mahavidyalay)"
] |
The object of the present paper is to characterize a Riemannian manifold admitting a type of semi-symmetric non-metric connection.
|
수학
| null |
kci_detailed_000035.xml
|
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