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ART001558907
oai_dc
On the Geometry of Lightlike Submanifolds
On the Geometry of Lightlike Submanifolds
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "강태호(울산대학교)" ]
We give some characterizations of non-existence of lightlike hypersurfaces of an indefinite space form. Some geometric objects for the induced Ricci tensor to be symmetric are studied.
수학
null
kci_detailed_000038.xml
ART001558909
oai_dc
Weighted Value Sharing and Uniqueness of Entire Functions
Weighted Value Sharing and Uniqueness of Entire Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Pulak Sahoo(Netaji Subhas Open University)" ]
In the paper, we study with weighted sharing method the uniqueness of entire functions concerning nonlinear dierential polynomials sharing one value and prove two uniqueness theorems, rst one of which generalizes some recent results in [10] and [16]. Our second theorem will supplement a result in [17].
수학
null
kci_detailed_000038.xml
ART001558911
oai_dc
Principally Small Injective Rings
Principally Small Injective Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yueming Xiang(Yichun University)" ]
A right ideal I of a ring R is small in case for every proper right ideal K of R, K + I ≠ R. A right R-module M is called PS-injective if every R-homomorphism f : aR → M for every principally small right ideal aR can be extended to R → M. A ring R is called right PS-injective if R is PS-injective as a right R-module. We develop, in this article, PS-injectivity as a generalization of P-injectivity and small injectivity. Many characterizations of right PS-injective rings are studied. In light of these facts, we get several new properties of a right GPF ring and a semiprimitive ring in terms of right PS-injectivity. Related examples are given as well.
수학
null
kci_detailed_000038.xml
ART001558908
oai_dc
All Regular Elements in Hyp_G(2)
All Regular Elements in Hyp_G(2)
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Wattapong Puninagool(ChiangMai Universify); Sorasak Leeratanavalee(ChiangMai Universify)" ]
In this paper we consider mappings which map the binary operation symbol f to the term σ(f) which do not necessarily preserve the arities. We call these mappings generalized hypersubstitutions. Any generalized hypersubstitution σ can be extended to a mapping σ on the set of all terms of type τ = (2). We define a binary operation on the set Hyp_G(2) of all generalized hypersubstitutions of type τ = (2) by using this extension. The set Hyp_G(2) together with the identity generalized hypersubstitution σ_(id) which maps f to the term f(x₁, x₂) forms a monoid. We determine all regular elements of this monoid.
수학
null
kci_detailed_000038.xml
ART001558910
oai_dc
On Opial Type Inequalities with Nonlocal Conditions and Applications
On Opial Type Inequalities with Nonlocal Conditions and Applications
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Lazhar Bougoffa(Al-Imam University); Jamal Ibrahim Daoud(International Islamic University)" ]
The purpose of this note is to give Opial type inequalities with nonlocal conditions. Also, a reverse of the original inequality with y(a) = y(b) = 0 is derived. We apply these inequalities to second-order differential equations with nonlocal conditions to derive several necessary conditions for the existence of solutions.
수학
null
kci_detailed_000038.xml
ART001558912
oai_dc
An Algorithm for Quartically Hyponormal Weighted Shifts
An Algorithm for Quartically Hyponormal Weighted Shifts
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "백승환(경북대학교); 정일봉(경북대학교); 문경영(경북대학교)" ]
Examples of a quartically hyponormal weighted shift which is not 3-hyponormal are discussed in this note. In [7] Exner-Jung-Park proved that if α(x) : [수식] with 0 < x ≤ [수식], then W_(α(x)) is quartically hyponormal but not 4-hyponormal. And, Curto-Lee([5]) improved their result such as that if α(x) : [수식] with 0 < x ≤ [수식] then W_(α(x)) is quartically hyponormal but not 3-hyponormal. In this note, we improve slightly Curto-Lee's extremal value by using an algorithm and computer software tool.
수학
null
kci_detailed_000038.xml
ART001558914
oai_dc
On the Semi-threading of Knot Diagrams with Minimal Overpasses
On the Semi-threading of Knot Diagrams with Minimal Overpasses
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "정재욱(영남대학교); 정슬기(경기대학교); 김동석(경기대학교)" ]
Given a knot diagram D, we construct a semi-threading circle of it which can be an axis of D as a closed braid depending on knot diagrams. In particular, we consider semi-threading circles of minimal diagrams of a knot with respect to overpasses which give us some information related to the braid index. By this notion, we try to give another proof of the fact that, for every nontrivial knot K, the braid index b(K) of K is not less than the minimum number l(K) of overpasses of diagrams. Also, they are the same for a torus knot.
수학
null
kci_detailed_000038.xml
ART001459129
oai_dc
The Hilbert-type Integral Inequality with the System Kernel of -λ Degree Homogeneous Form
The Hilbert-type Integral Inequality with the System Kernel of -λ Degree Homogeneous Form
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Zitian Xie(Zhaoqing University); Zheng Zeng(Shaoguan University, China)" ]
In this paper, the integral operator is used. We give a new Hilbert-type integral inequality, whose kernel is the homogeneous form with degree -λ and with three pairs of conjugate exponents and the best constant factor and its reverse form are also derived. It is shown that the results of this paper represent an extension as well as some improvements of the earlier results.
수학
null
kci_detailed_000038.xml
ART001459133
oai_dc
On a Bilateral Hilbert-Type Inequality with a Homogeneous Kernel of 0-Degree
On a Bilateral Hilbert-Type Inequality with a Homogeneous Kernel of 0-Degree
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bing He(Guangdong Education College)" ]
By introducing a homogeneous kernel of 0-degree with an independent parameter and estimating the weight coefficient, a bilateral form of the Hilbert-type series inequality with a best constant factor is established.
수학
null
kci_detailed_000038.xml
ART001459073
oai_dc
A Property of the Weak Subalgebra Lattice for Algebras with Some Non-Equalities
A Property of the Weak Subalgebra Lattice for Algebras with Some Non-Equalities
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Konrad Pioro(University of Warsaw)" ]
Let A be a locally finite total algebra of finite type such that kA(a1,...,an) ≠ai for every operation kA, elements a1,..., an and 1 ≤i≤ n. We show that the weak subalgebra lattice of A uniquely determines its (strong) subalgebra lattice. More precisely, for any algebra B of the same finite type, if the weak subalgebra lattices of A and B are isomorphic, then their subalgebra lattices are also isomorphic. Moreover, B is also total and locally finite.
수학
null
kci_detailed_000038.xml
ART001459110
oai_dc
Global Periodic Solutions in a Delayed Predator-prey System with Holling II Functional Response
Global Periodic Solutions in a Delayed Predator-prey System with Holling II Functional Response
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Zhichao Jiang(North China Institute of Astronautic Engineering,China); Hongtao Wang(Heibei College of Finance, China); Hongmei Wang(North China Electric Power University,China)" ]
We consider a delayed predator-prey system with Holling II functional re-sponse. Firstly, the paper considers the stability and local Hopf bifurcation for a delayed prey dator model using the basic theorem on zeros of general transcendental function, hich was established by Cook etc.. Secondly, special attention is paid to the global existence of periodic solutions bifurcating from Hopf bifurcations. By using a global Hopf bifurcation result due to Wu , we show that the local Hopf bifurcation implies the global Hopf bifurcation after the second critical value of delay. Finally, several numerical simulations supporting the theoretical analysis are given.
수학
null
kci_detailed_000038.xml
ART001459121
oai_dc
On a Hilbert-type Integral Inequality with a Combination Kernel and Applications
On a Hilbert-type Integral Inequality with a Combination Kernel and Applications
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bicheng Yang(Guangdong Institute of Education)" ]
By introducing some parameters and using the way of weight function and the technic of real analysis and complex analysis, a new Hilbert-type integral inequality with a best constant factor and a combination kernel involving two mean values is given, which is an extension of Hilbert's integral inequality. As applications, the equivalent form and the reverse forms are considered.
수학
null
kci_detailed_000038.xml
ART001459124
oai_dc
Numerical Plank Problem
Numerical Plank Problem
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "김성권(경북대학교)" ]
Parallel to the plank problem, we investigate the numerical plank problem.
수학
null
kci_detailed_000038.xml
ART001459116
oai_dc
Screen Slant Lightlike Submanifolds of Inde¯nite Kenmotsu Manifolds
Screen Slant Lightlike Submanifolds of Inde¯nite Kenmotsu Manifolds
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ram Shankar Gupta(University School of Basic and Applied Sciences); Abhitosh Upadhyay(Guru Gobind Singh Indraprastha)" ]
In this paper, we introduce the notion of a screen slant lightlike submanifold of an inde¯nite Kenmotsu manifold. We provide characterization theorem for existence of screen slant lightlike submanifold with examples. Also, we give an example of a minimals creen slant lightlike submanifold of R92 and prove some characterization theorems.
수학
null
kci_detailed_000038.xml
ART001459153
oai_dc
On Partitioning and Subtractive Subsemimodules of Semi- modules over Semirings
On Partitioning and Subtractive Subsemimodules of Semi- modules over Semirings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jaiprakash Ninu Chaudhari(Moolji Jaitha College, India); Dipak Ravindra Bonde(Moolji Jaitha College, India)" ]
In this paper, we introduce a partitioning subsemimodule of a semimodule over a semiring which is useful to develop the quotient structure of semimodule. Indeed we prove : 1) The quotient semimodule M/N(Q) is essentially independent of choice of Q. 2) If f : M -> M′ is a maximal R-semimodule homomorphism, then M/kerf(Q) = M′ . 3)Every partitioning subsemimodule is subtractive. 4) Let N be a Q-subsemimodule of an R-semimodule M. Then A is a subtractive subsemimodule of M with N ⊆A if and only if A/N(Q∩A) = {q + N : q ∈Q ∩A}is a subtractive subsemimodule of M/N(Q).
수학
null
kci_detailed_000038.xml
ART001459157
oai_dc
Affine Translation Surfaces with Constant Gaussian Curvature
Affine Translation Surfaces with Constant Gaussian Curvature
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yu Fu(Dalian University); Zhong-Hua Hou(Dalian University)" ]
We study affine translation surfaces in R3 and get a complete classi¯cation of such surfaces with constant Gauss-Kronecker curvature.
수학
null
kci_detailed_000038.xml
ART001459104
oai_dc
A New Class of Hermite-Konhauser Polynomials together with Differential Equations
A New Class of Hermite-Konhauser Polynomials together with Differential Equations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Maged Gumaan Bin-Saad(Aden University)" ]
It is shown that an appropriate combination of methods, relevant to opera-tional calculus and to special functions, can be a very useful tool to establish and treat a new class of Hermite and Konhauser polynomials. We explore the formal properties of the operational identities to derive a number of properties of the new class of Hermite and Konhauser polynomials and discuss the links with various known polynomials.
수학
null
kci_detailed_000038.xml
ART001459060
oai_dc
Special Function Inverse Series Pairs
Special Function Inverse Series Pairs
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Salar Yaseen Alsardary(University of the Sciences in Philadelphia); Henry Wadsworth Gould(West Virginia University,USA)" ]
Working with the various special functions of mathematical physics and applied mathematics we often encounter inverse relations of the type Fn(x)= Σk=0nAknGk(x) and Gn(x)=Σk=0nBknFk(x)where $n=0,1,2,… Here Fn(x), Gn(x) denote special polynomial functions, and Akn , Bkn denote coefficients found by use of the orthogonal properties of Fn(x) and Gn(x), or by skillful series manipulations. Typically Gn(x)=xn and Fn(x)=Pn(x), the n-th Legendre polynomial. We give a collection of inverse series pairs of the type Fn(x)= Σk=0nAknG(k) if and if G(n)=Σk=0nBknF(k),each pair being based on some reasonably well-known special function. We also state and prove an interesting generalization of a theorem of Rainville in this form.
수학
null
kci_detailed_000038.xml
ART001459138
oai_dc
Hyers-Ulam Stability of Cubic Mappings in Non-Archimedean Normed Spaces
Hyers-Ulam Stability of Cubic Mappings in Non-Archimedean Normed Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Alireza Kamel Mirmostafaee(Ferdowsi University)" ]
We give a xed point approach to the generalized Hyers-Ulam stability of the cubic equation f(2x + y) + f(2x -y) = 2f(x + y) + 2f(x -y) + 12f(x)in non-Archimedean normed spaces. We will give an example to show that some known results in the stability of cubic functional equations in real normed spaces fail in non-Archimedean normed spaces. Finally, some applications of our results in non-Archimedean normed spaces over p-adic numbers will be exhibited.
수학
null
kci_detailed_000038.xml
ART001459090
oai_dc
A Study of Generalized Weyl Differintegral Operator Associated with a General Class of Polynomials and the Multivariable H-function
A Study of Generalized Weyl Differintegral Operator Associated with a General Class of Polynomials and the Multivariable H-function
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ramesh Chandra Soni(M. N. Institute of Technology); Monica Wiseman(M. N. Institute of Technology)" ]
In the present paper, we obtain a new formula for the generalized Weyl differintegral operator in a compact form avoiding the occurrence of infinite series and thus making it useful in applications. Our findings provide interesting generalizations and unifications of the results given by several authors and lying scattered in the literature.
수학
null
kci_detailed_000038.xml
ART001459087
oai_dc
Weighted Geometric Means of Positive Operators
Weighted Geometric Means of Positive Operators
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Saichi Izumino(University of Toyama, Japan); Noboru Nakamura(Toyama National College of Technology)" ]
A weighted version of the geometric mean of k (≥ 3) positive invertible operators is given. For operators A1,...,Ak and for nonnegative numbers α1,...,αk such that Pk ∑ αi=1 we de¯ne weighted geometric means of two types, the ¯rst type by a direct construction through symmetrization procedure, and the second type by an indirect construction through the non-weighted (or uniformly weighted) geometric mean. Both of them reduce to A1α1...Akαk if A1,...,Ak commute with each other. The first type does not have the property of permutation invariance, but satis¯es a weaker one with respect to permutation invariance. The second type has the property of permutation invariance. We also show a reverse inequality for the arithmetic-geometric mean inequality of the weighted version. also show a reverse inequality for the arithmetic-geometric mean inequality of the weighted version.
수학
null
kci_detailed_000038.xml
ART001505837
oai_dc
Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers
Lacunary Statically Convergent and Lacunary Strongly Convergent Generalized Difference Sequences of Fuzzy Real Numbers
{ "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, India); Achyutanada Baruah(North Gauhati College)" ]
In this paper we introduce the concept of lacunary statistical and lacunary strongly convergence of generalized difference sequence of fuzzy real numbers. We prove some inclusion relations and also study some of their properties.
수학
null
kci_detailed_000038.xml
ART001505830
oai_dc
A Fixed Point Approach to the Stability of a Functional Equation
A Fixed Point Approach to the Stability of a Functional Equation
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "박원길(Mokwon University); 배재형(경희대학교)" ]
By using an idea of Cadariu and Radu [4], we prove the generalized Hyers-Ulam stability of the functional equation f(x + y, z - w) + f(x - y, z + w) = 2f(x, z) + 2f(y,w). The quadratic form f : R × R → R given by f(x, y) = ax² + by² is a solution of the above functional equation.
수학
null
kci_detailed_000038.xml
ART001505694
oai_dc
On a q-Extension of the Leibniz Rule via Weyl Type of q-Derivative Operator
On a q-Extension of the Leibniz Rule via Weyl Type of q-Derivative Operator
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Sunil Dutt Purohit(M. P. University)" ]
In the present paper we define a q-extension of the Leibniz rule for q-derivatives via Weyl type q-derivative operator. Expansions and summation formulae for the generalized basic hypergeometric functions of one and more variables are deduced as the applications of the main result.
수학
null
kci_detailed_000038.xml
ART001505748
oai_dc
On Curvature-Adapted and Proper Complex Equifocal Sub- manifolds
On Curvature-Adapted and Proper Complex Equifocal Sub- manifolds
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Naoyuki Koike(Tokyo University)" ]
In this paper, we investigate curvature-adapted and proper complex equifocal submanifolds in a symmetric space of non-compact type. The class of these submanifolds contains principal orbits of Hermann type actions as homogeneous examples and is included by that of curvature-adapted and isoparametric submanifolds with flat section. First we introduce the notion of a focal point of non-Euclidean type on the ideal boundary for a submanifold in a Hadamard manifold and give the equivalent condition for a curvature-adapted and complex equifocal submanifold to be proper complex equifocal in terms of this notion. Next we show that the complex Coxeter group associated with a curvature-adapted and proper complex equifocal submanifold is the same type group as one associated with a principal orbit of a Hermann type action and evaluate from above the number of distinct principal curvatures of the submanifold.
수학
null
kci_detailed_000038.xml
ART001505681
oai_dc
Extreme Preservers of Zero-term Rank Sum over Fuzzy Matrices
Extreme Preservers of Zero-term Rank Sum over Fuzzy Matrices
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "송석준(제주대학교); Yeon-Jung Na(Jeju National University)" ]
In this paper, we consider two extreme sets of zero-term rank sum of fuzzy matrix pairs:Z1(F) = {(X,Y)∈Mm,n(F)2|z(X+Y)=min{z(X),z(Y)}};Z2(F) = {(X,Y)∈Mm,n(F)2|z(X+Y)=0}We characterize the linear operators that preserve these two extreme sets of zero-term rank sum of fuzzy matrix pairs.
수학
null
kci_detailed_000038.xml
ART001505733
oai_dc
Univalent Holomorphic Functions with Negative and Fixed Finitely Many Coefficients in terms of Generalized Fractional Derivative
Univalent Holomorphic Functions with Negative and Fixed Finitely Many Coefficients in terms of Generalized Fractional Derivative
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ali Ebadian(Urmia University); Rasoul Aghalary(Urmia university); Shahram Najafzadeh(University of Maragheh)" ]
A new class of univalent holomorphic functions with fixed finitely many coefficients based on Generalized fractional derivative are introduced. Also some important properties of this class such as coefficient bounds, convex combination, extreme points, Radii of starlikeness and convexity are investigated.
수학
null
kci_detailed_000038.xml
ART001505712
oai_dc
Dynamics of Recursive Sequence of Order Two
Dynamics of Recursive Sequence of Order Two
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Elsayed Mohammed Elsayed(Mansoura University)" ]
In this paper we study some qualitative behavior of the solutions of the difference equation xn+1 = axn + bxn/(cxn − dx(n-1)), n = 0, 1, ...,where the initial conditions x-1, x0 are arbitrary real numbers and a, b, c, d are positive constants with cx0 − dx-1 ≠ 0.
수학
null
kci_detailed_000038.xml
ART001505669
oai_dc
On a Structure Defined by a Tensor Field F of Type (1, 1) Satisfying Πj=1k [F2 + a(j)F + λ2(j)I] = 0
On a Structure Defined by a Tensor Field F of Type (1, 1) Satisfying Πj=1k [F2 + a(j)F + λ2(j)I] = 0
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Lovejoy Das(Department of Mathematics, Kent State University); Ram Nivas(Department of Mathematics and Astronomy, Lucknow University); Abhishek Singh(Department of Mathematics and Astronomy, Lucknow University)" ]
The differentiable manifold with f – structure were studied by many authors,for example: K. Yano [7], Ishihara [8], Das [4] among others but thus far we do not know the geometry of manifolds which are endowed with special polynomial Fa(j)x(j) – structure satisfying Πj=1k[F2 + a (j) F + λ2 (j) I]= 0However, special quadratic structure manifold have been defined and studied by Sinha and Sharma [8]. The purpose of this paper is to study the geometry of differentiable manifolds equipped with such structures and define special polynomial structures for all values of j = 1,2,...,K ∈ N, and obtain integrability conditions of the distributions πmj and πmj
수학
null
kci_detailed_000038.xml
ART001505764
oai_dc
On a Question of Closed Maps of S. Lin
On a Question of Closed Maps of S. Lin
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Huaipeng Chen(Nankai University)" ]
Let X be a regular T₁-space such that each single point set is a Gδ set. Denote 'hereditarily closure-preserving' by 'HCP'. To consider a question of closed maps of S. Lin in [6], we improve some results of Foged in [1], and prove the following propositions. Proposition 1. D = {x ∈ X : |{F ∈ F : x ∈ F}|≥N0} is discrete and closed if F is a collection of HCP. Proposition 2. H ={∩F' : F' is an fininte subcolletion of Fn} is HCP if F is a collection of HCP. Proposition 3. Let (X, τ) have a -HCP k-network. Then (X, τ) has a σ-HCP k-network F = ∪nFn such that:(i) Fn ⊂ Fn+1,(ii) Dn = {x ∈ X : |{F ∈ Fn : x ∈ F}|≥N0} is a discrete closed set and (iii) each Fn is closed to finite intersections.
수학
null
kci_detailed_000038.xml
ART001505808
oai_dc
On Approximation of Functions Belonging to Lip (α,r) Class and to Weighted W (Lr, ξ(t)) class by Product Means
On Approximation of Functions Belonging to Lip (α,r) Class and to Weighted W (Lr, ξ(t)) class by Product Means
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hare Krishna Nigam(Deemed University); Ajay Sharma(Deemed University)" ]
A good amount of work has been done on degree of approximation of functions belonging to Lipα, Lip (α, r) ; Lip (ξ(t), r) and W (Lr, ξ(t)) classes using Cesaro, Norlund and generalised Norlund single summability methods by a number of researchers ([1], [10],[8], [6], [7], [2], [3], [4], [9]). But till now, nothing seems to have been done so far to obtain the degree of approximation of functions using (N; pn)(C; 1) product summability method. Therefore the purpose of present paper is to establish two quite new theorems on degree of approximation of function f ∈ Lip (α, r) class and f ∈ W (Lr, ξ(t)) class by (N, pn)(C, 1)product summability means of its Fourier series.
수학
null
kci_detailed_000038.xml
ART001538147
oai_dc
Normal Pairs of Going-down Rings
Normal Pairs of Going-down Rings
{ "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; T) be a normal pair of commutative rings (i.e., R T is a unital extension of commutative rings, not necessarily integral domains, such that S is integrally closed in T for each ring S such that R S T) such that the total quotient ring of R is a von Neumann regular ring. Let P be one of the following ring-theoretic properties: going-down ring, extensionally going-down (EGD) ring, locally divided ring. Then R has P if and only if T has P. An example shows that the \if" part of the assertion fails if P is taken to be the \divided domain" property.
수학
null
kci_detailed_000038.xml
ART001538223
oai_dc
Some Global Estimates for the Jacobians of Quasiregular Mappings
Some Global Estimates for the Jacobians of Quasiregular Mappings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Gao Hongya(Hebei University); Ren Suna(Hebei University); Sun Lanxiang(Cangzhou Normal College)" ]
Some global estimates for the Jacobians of quasiregular mappings f = (f¹, f², ..., fⁿ) of the Sobolev class W¹,ⁿ(Ω, Rⁿ) in L^φ(μ)-domains and John domains are established.
수학
null
kci_detailed_000038.xml
ART001538260
oai_dc
On Quasi-Conformally Recurrent Manifolds with Harmonic Quasi-Conformal Curvature Tensor
On Quasi-Conformally Recurrent Manifolds with Harmonic Quasi-Conformal Curvature Tensor
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Absos Ali Shaikh(University of Burdwan); Indranil Roy(University of Burdwan)" ]
The main objective of the paper is to provide a full classication of quasiconformally recurrent Riemannian manifolds with harmonic quasi-conformal curvature tensor. Among others it is shown that a quasi-conformally recurrent manifold with harmonic quasi-conformal curvature tensor is any one of the following: (i) quasi-conformally symmetric, (ii) conformally at, (iii) manifold of constant curvature, (iv) vanishing scalar curvature, (v) Ricci recurrent.
수학
null
kci_detailed_000038.xml
ART001538239
oai_dc
Integral Operator of Analytic Functions with Positive Real Part
Integral Operator of Analytic Functions with Positive Real Part
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Basem Aref Frasin(Al al-Bayt University)" ]
In this paper, we introduce the integral operator I_β(p_1, ... , p_n;α_1, ..., α_n)(z) of analytic functions with positive real part. The radius of convexity of this integral operator when β = 1 is determined. In particular, we get the radius of starlikeness and convexity of the analytic functions with Re{f(z)/z} > 0 and Re{f′(z)} > 0. Furthermore, we derive sufficient condition for the integral operator I_β(p_1, ... , p_n;α_1, ..., α_n)(z) to be analytic and univalent in the open unit disc, which leads to univalency of the operators [수식](f(t)/t)^αdt and [수식](f′(t)/t)^αdt.
수학
null
kci_detailed_000038.xml
ART001538236
oai_dc
On Partitioning and Subtractive Ideals of Ternary Semirings
On Partitioning and Subtractive Ideals of Ternary Semirings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jaiprakash Ninu Chaudhari(Moolji Jaitha College); Kunal Julal Ingale(Moolji Jaitha College)" ]
In this paper, we introduce a partitioning ideal of a ternary semiring which is useful to develop the quotient structure of ternary semiring. Indeed we prove : 1) The quotient ternary semiring S=I_((Q)) is essentially independent of choice of Q. 2) If f : S → S′ is a maximal ternary semiring homomorphism, then S=ker f_((Q)) ≅ S′. 3) Every partitioning ideal is subtractive. 4) Let I be a Q-ideal of a ternary semiring S. Then A is a subtractive ideal of S with I ⊆ A if and only if A=I_((Q∩A)) = {q + I ∈ Q ∩ A} is a subtractive ideal of S=I_((Q)).
수학
null
kci_detailed_000038.xml
ART001538228
oai_dc
Degenerate Weakly (k₁, k₂)-Quasiregular Mappings
Degenerate Weakly (k₁, k₂)-Quasiregular Mappings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Gao Hongya(Hebei University); Tian Dazeng(Hebei University); Sun Lanxiang(Cangzhou Normal College); Chu Yuming(Huzhou Teachers College)" ]
In this paper, we rst give the denition of degenerate weakly (k₁, k₂)-quasiregular mappings by using the technique of exterior power and exterior differential forms, and then, by using Hodge decomposition and Reverse Hölder inequality, we obtain the higher integrability result: for any q₁ satisfying [수식]there exists an integrable exponent p₁ = p1(n, l, k₁, k₂) > l, such that every degenerate weakly (k₁, k₂)-quasiregular mapping f∈W[수식] (Ω, Rⁿ) belongs to W[수식] (Ω, Rⁿ), that is, f is a degenerate (k₁, k₂)-quasiregular mapping in the usual sense.
수학
null
kci_detailed_000038.xml
ART001538246
oai_dc
A Voronovskaya Type Theorem on Modied Post-Widder Operators Preserving x²
A Voronovskaya Type Theorem on Modied Post-Widder Operators Preserving x²
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Mohammad Arif Siddiqui(Autonomous College Durg); Raksha Rani Agrawal(M. P. Christian College Of Engg)" ]
In this paper we obtain a Voronvskaya type theorem for modified Post-Widder operators.
수학
null
kci_detailed_000038.xml
ART001538221
oai_dc
BCK-filters Based on Fuzzy Points with Thresholds
BCK-filters Based on Fuzzy Points with Thresholds
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "전영배(경상대학교); 송석준(제주대학교); 노은환(진주교육대학교)" ]
The notions of (∈, ∈∨q_k)-fuzzy BCK-filters and fuzzy BCK-filters with thresholds are introduced, and several related properties are investigated. Characterizations of such notions are displayed, and implication-based fuzzy BCK-filters are discussed.
수학
null
kci_detailed_000038.xml
ART001538224
oai_dc
Zero-divisors of Semigroup Modules
Zero-divisors of Semigroup Modules
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Peyman Nasehpour(Universität Osnabrück)" ]
Let M be an R-module and S a semigroup. Our goal is to discuss zero-divisors of the semigroup module M[S]. Particularly we show that if M is an R-module and S a commutative, cancellative and torsion-free monoid, then the R[S]-module M[S] has few zero-divisors of size n if and only if the R-module M has few zero-divisors of size n and Property (A).
수학
null
kci_detailed_000038.xml
ART001538225
oai_dc
Uniqueness of Certain Non-Linear Dierential Polynomials Sharing 1-Points
Uniqueness of Certain Non-Linear Dierential Polynomials Sharing 1-Points
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Abhijit Banerjee(West Bengal State University)" ]
Using the notion of weighted sharing of values we study the uniqueness of meromorphic functions when certain non-linear dierential polynomials share the same 1-points. Though the main concern of the paper is to improve a result of Fang [5] but as a consequence of the main result we improve and supplement some former results of Lahiri-Sarkar [16], Fang-Fang[6] et. al.
수학
null
kci_detailed_000038.xml
ART001538255
oai_dc
Weakly np- Injective Rings and Weakly C2 Rings
Weakly np- Injective Rings and Weakly C2 Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Junchao Wei(Yangzhou University); Jianhua Chen(Yangzhou University)" ]
A ring R is called left weakly np- injective if for each non-nilpotent element a of R, there exists a positive integer n such that any left R- homomorphism from Ran to R is right multiplication by an element of R. In this paper various properties of these rings are first developed, many extending known results such as every left or right module over a left weakly np- injective ring is divisible; R is left seft-injective if and only if R is left weakly np-injective and RR is weakly injective; R is strongly regular if and only if R is abelian left pp and left weakly np- injective. We next introduce the concepts of left weakly pp rings and left weakly C2 rings. In terms of these rings, we give some characterizations of (von Neumann) regular rings such as R is regular if and only if R is n- regular, left weakly pp and left weakly C2. Finally, the relations among left C2 rings, left weakly C2 rings and left GC2 rings are given.
수학
null
kci_detailed_000038.xml
ART001488806
oai_dc
On Some Uniqueness Theorems of Meromorphic Functions Sharing Three Values
On Some Uniqueness Theorems of Meromorphic Functions Sharing Three Values
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Arindam Sarkar(Sikkim Manipal Institute of Technology); Paulomi Chattopadhyay(Sikkim Manipal Institute of Technology)" ]
We prove some uniqueness theorems of meromorphic functions sharing three values which improves some results of Banerjee.
수학
null
kci_detailed_000038.xml
ART001488809
oai_dc
On Some New Generalized Dierence Statistically Convergent Sequence Spaces Dened by a Sequence of Orlicz Functions
On Some New Generalized Dierence Statistically Convergent Sequence Spaces Dened by a Sequence of Orlicz Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Cigdem Asma Bektas(Firat University); Gulcan Atici(Mus Alparslan University)" ]
In this paper we introduce the new generalized difference sequence spaces ℓ∞(Δvn, M, p, q, s), c(Δvn, M, p, q, s), c0(Δvn, M, p, q, s), m(Δvn, M, p, q, s) and m0(Δvn, M, p, q, s) defined over a seminormed sequence space (X, q). We study some of its properties, like completeness, solidity, symmetricity etc. We obtain some relations between these spaces as well as prove some inclusion result.
수학
null
kci_detailed_000038.xml
ART001488810
oai_dc
Some New Inequalities of Hermite-Hadamard's Type
Some New Inequalities of Hermite-Hadamard's Type
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Aziz Saglam(Afyon Kocatepe University,Turkey); Huseyin Yildirim(Kocatepe University,Turkey); Mehmet Zeki Sarikaya(Afyon Kocatepe University, Turkey)" ]
In this paper, we establish several new inequalities for some differantiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality. Some applications for special means of real numbers are also provided.
수학
null
kci_detailed_000038.xml
ART001488812
oai_dc
Preconditioning Cubic Spline Collocation Methods for a Cou- pled Elliptic Equation
Preconditioning Cubic Spline Collocation Methods for a Cou- pled Elliptic Equation
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "신병춘(전남대학교); 김상동(경북대학교)" ]
A low-order nite element preconditioner is analyzed for a cubic spline collocation method which is used for discretizations of coupled elliptic problems derived from an optimal control problrm subject to an elliptic equation. Some numerical evidences area also provided.
수학
null
kci_detailed_000038.xml
ART001488814
oai_dc
Meromorphic Function that Shares One Small Function with its Differential Polynomial
Meromorphic Function that Shares One Small Function with its Differential Polynomial
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Nan Li(Shandong University); Lian-Zhong Yang(Shandong University)" ]
In this paper, we investigate the uniqueness problems of meromorphic functions that share a small function with its differential polynomials, and give a result which is related to a conjecture of R. Bruck and improve the results of I. Lahiri and Q. C. Zhang.
수학
null
kci_detailed_000038.xml
ART001488807
oai_dc
Ostrowski's Type Inequalities for (α,m)-Convex Functions
Ostrowski's Type Inequalities for (α,m)-Convex Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Muhamet Emin Ozdemir(Atat¨urk University); Erhan Set(Atat¨urk University); Havva KavurmacI(Atat¨urk University)" ]
In this paper, we establish new inequalities of Ostrowski’s type for functions whose derivatives in absolute value are (α,m)-convex .
수학
null
kci_detailed_000038.xml
ART001488813
oai_dc
Partial Sums of Starlike Harmonic Univalent Functions
Partial Sums of Starlike Harmonic Univalent Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Saurabh Porwal(Janta College,India); Kaushal Kishore Dixit(Janta College,India)" ]
Although, interesting properties on the partial sums of analytic univalent functions have been investigated extensively by several researchers, yet analogous results on partial sums of harmonic univalent functions have not been so far explored. The main purpose of the present paper is to establish some new and interesting results on the ratio of starlike harmonic univalent function to its sequences of partial sums.
수학
null
kci_detailed_000038.xml
ART001488805
oai_dc
Meromorphic Functions Sharing a Small Function with their Differential Polynomials
Meromorphic Functions Sharing a Small Function with their Differential Polynomials
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jilong Zhang(Beihang University)" ]
In this paper, we investigate uniqueness problems of meromorphic functions sharing a small function with their differential polynomials, and give some results which are related to a conjecture of R. Brouck, and also improve several previous results.
수학
null
kci_detailed_000038.xml
ART001488811
oai_dc
Some Characterizations of Regular and Semisimple Γ -Rings
Some Characterizations of Regular and Semisimple Γ -Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Xueling Ma(Hubei Institute for Nationalities, China); Young Bae Jun(경상대학교); Jianming Zhan(Hubei Institute for Nationalities, China)" ]
Some characterizations of regular Г-rings are described by means of fuzzy ideals. The concepts of fuzzy interior ideals in Г-rings and semisimple Г-rings are introduced. Some characterizations of semisimple Г-rings are investigated by means of fuzzy interior ideals.
수학
null
kci_detailed_000038.xml
ART001488808
oai_dc
On Orthogonal Generalized (σ,τ )-Derivations of Semiprime Near-Rings
On Orthogonal Generalized (σ,τ )-Derivations of Semiprime Near-Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Shuliang Huang(Chuzhou University)" ]
In this paper, we present some results concerning orthogonal generalized (σ,τ)-derivations in semiprime near-rings. These results are a generalization of results of Bresar and Vukman, which are related to a theorem of Posner for the product of two derivations in prime rings.
수학
null
kci_detailed_000038.xml
ART001397312
oai_dc
Knots with a Trivial Coefficient Polynomial
Knots with a Trivial Coefficient Polynomial
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yasuyuki Miyazawa(Yamaguchi University,Japan)" ]
By using a tangle decomposition of a knot, we give a method for the construction of a knot with the lowest trivial HOMFLY coefficient polynomial. Applying this, we show that there exist infinitely many 2-bridge knots with such a coefficient polynomial.
수학
null
kci_detailed_000038.xml
ART001397271
oai_dc
Approximating Common Fixed Points of One-step Iterative Scheme with Error for Asymptotically Quasi-nonexpansive Type Nonself-Mappings
Approximating Common Fixed Points of One-step Iterative Scheme with Error for Asymptotically Quasi-nonexpansive Type Nonself-Mappings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Narongrit Puturong(Udon Thani Rajabhat University,Thailand)" ]
In this paper, a new one-step iterative scheme with error for approximating common xed points of asymptotically quasi-nonexpansive type nonself mappings in Banach space is dened. The results obtained in this paper extend and improve the recent ones, announced by H. Y. Zhou, Y. J. Cho, and S. M. Kang [Zhou et al.,(2007), namely, A new iterative algorithm for approximating common xed points for asymptotically nonexpansive mappings, published to Fixed Point Theory and Applications 2007 : 1-9], and many others.
수학
null
kci_detailed_000038.xml
ART001397248
oai_dc
Riccati Equation and Positivity of Operator Matrices
Riccati Equation and Positivity of Operator Matrices
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jun Ichi Fujii(Osaka Kyoiku University); Masatoshi Fujii(Osaka Kyoiku University); Ritsuo Nakamoto(Ibaraki University)" ]
We show that for an algebraic Riccati equation [수식], its solutions are given by X = W + BT for some solution [수식], To generalize this, we give an equivalent condition for [수식] for given positive operators B and A, by which it can be regarded as Riccati inequality [수식]. As an application, the harmonic mean B ! C is explicitly written even if B and C are noninvertible.
수학
null
kci_detailed_000038.xml
ART001397309
oai_dc
On Generalized ϕ-Recurrent LP-Sasakian Manifolds
On Generalized ϕ-Recurrent LP-Sasakian Manifolds
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jai Prakash Jaiswal( Science Banaras Hindu University Varanasi,India); Ram Hit Ojha(Science Banaras Hindu University Varanasi,India)" ]
In this paper we studied generalized ϕ-recurrent and generalized concircular ϕ-recurrent LP-Sasakian manifolds.
수학
null
kci_detailed_000038.xml
ART001397311
oai_dc
A Class of Lorentzian α−Sasakian Manifolds
A Class of Lorentzian α−Sasakian Manifolds
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ahmet Yildiz(Dumlupinar University (Turkey)); Cengizhan Murathan(Uludag University (Turkey)); Mine Turan(Dumlupinar University)" ]
In this study we consider φ-conformally flat, φ-conharmonically flat, φ-projectively flat and φ-concircularly flat Lorentzian α-Sasakian manifolds. In all cases, we get the manifold will be an η-Einstein manifold.
수학
null
kci_detailed_000038.xml
ART001397269
oai_dc
Uniqueness Of Meromorphic Functions Sharing A Small Function With Their Differential Polynomials
Uniqueness Of Meromorphic Functions Sharing A Small Function With Their Differential Polynomials
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Abhijit Banerjee(West Bengal State University,India)" ]
With the aid of weakly weighted sharing and a recently introduced sharing notion in [3] known as relaxed weighted sharing we investigate the uniqueness of meromorphic functions sharing a small function with its differential polynomials. Our results will improve and supplement all the results obtained by Zhang and Yang [17] as well as a substantial part of the results recently obtained by the present author [2] and thus provide a better answer to the questions posed by Yu [14] in this regard.
수학
null
kci_detailed_000038.xml
ART001397305
oai_dc
Some Properties of Harmonic Functions Defined by Convolution
Some Properties of Harmonic Functions Defined by Convolution
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Kaushal Kishor Dixit(Janta College,India); Saurabh Porwal(Janta College,India)" ]
In this paper, we introduce and study a comprehensive family of harmonic univalent functions which contains various well-known classes of harmonic univalent functions as well as many new ones. Also, we improve some results obtained by Frasin [3] and obtain coefficient bounds, distortion bounds and extreme points, convolution conditions and convex combination are also determined for functions in this family. It is worth mentioning that many of our results are either extensions or new approaches to those corresponding previously known results.
수학
null
kci_detailed_000038.xml
ART001397308
oai_dc
Some Further Results on Entire Functions That Share Fixed-Points
Some Further Results on Entire Functions That Share Fixed-Points
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Xiao-Guang Qi(School of Mathematics Shandong University,Jinan); Jia Dou(Quancheng Middle School, China)" ]
In this paper, we study the uniqueness problem on entire functions sharing fixed points and prove some theorems which are related to one famous problem of Hayman.
수학
null
kci_detailed_000038.xml
ART001397274
oai_dc
Uniqueness and Value-sharing of Entire Functions
Uniqueness and Value-sharing of Entire Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Xiaojuan Li(Shandong University,China); Chao Meng(Shandong University)" ]
In this paper, we study the uniqueness problems on entire functions sharing one value. We improve and generalize some previous results of Zhang and Lin [11]. On the one hand, we consider the case for some more general differential polynomials [fnP(f)](k) where P(w) is a polynomial; on the other hand, we relax the nature of sharing value from CM to IM.
수학
null
kci_detailed_000038.xml
ART001397290
oai_dc
A Fixed Point Approach to the Stability of Quadratic Equations in Quasi Normed Spaces
A Fixed Point Approach to the Stability of Quadratic Equations in Quasi Normed Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Alireza Kamel Mirmostafaee(Ferdowsi University of Mashhad)" ]
We use the xed alternative theorem to establish Hyers{Ulam{Rassias stabil- ity of the quadratic functional equation where functions map a linear space into a complete quasi p-normed space. Moreover, we will show that the continuity behavior of an approximately quadratic mapping, which is controlled by a suitable continuous function, implies the continuity of a unique quadratic function, which is a good approximation to the mapping. We also give a few applications of our results in some special cases.
수학
null
kci_detailed_000038.xml
ART001397299
oai_dc
Embedding in a Direct Limit
Embedding in a Direct Limit
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Leonard Roy Rubin(University of Oklahoma,USA)" ]
Let X be a direct system of topological spaces and X its direct limit. We show that under certain conditions the direct limit of a "subsystem" of X embeds in a canonical way as a closed subspace of X.
수학
null
kci_detailed_000038.xml
ART001397264
oai_dc
On the Hilbert Type Integral Inequalities with Some Param- eters and Its Reverse
On the Hilbert Type Integral Inequalities with Some Param- eters and Its Reverse
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Huseyin Yildirim(Kocatepe University,Turkey); Umut Mutlu Ozkan(Kocatepe University, Turkey); Mehmet Zeki Sarikaya(Kocatepe University,Turkey)" ]
This paper deals with some new generalizations of the Hardy-Hilbert type integral inequalities with some parameters. We also consider the equivalent inequalities and the reverse forms.
수학
null
kci_detailed_000038.xml
ART001397266
oai_dc
On the Iterated Duggal Transforms
On the Iterated Duggal Transforms
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Muneo Cho(Kanagawa University); 정일봉(경북대학교); Woo Young Lee(Seoul National University)" ]
For a bounded operator [수식] (polar decomposition), we consider a transform [수식] and discuss the convergence of iterated transform of b T under the strong operator topology. We prove that such iteration of quasiaffine hyponormal operator converges to a normal operator under the strong operator topology.
수학
null
kci_detailed_000038.xml
ART001397262
oai_dc
Scaling Law of the Hausdorff Measure
Scaling Law of the Hausdorff Measure
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hunki Baek(Kyungpook National University); 이흥환(경북대학교)" ]
We exhibit an example that the scaling property of Hausdorff measure on R1 does not hold.
수학
null
kci_detailed_000038.xml
ART001397275
oai_dc
Weakly Hyponormal Composition Operators and Embry Condition
Weakly Hyponormal Composition Operators and Embry Condition
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "이미령(대구가톨릭대학교); Jung Woi Park(Kyungpook National University)" ]
We investigate the gaps among classes of weakly hyponormal composition operators induced by Embry characterization for the subnormality. The relationship between subnormality and weak hyponormality will be discussed in a version of composition operator induced by a non-singular measurable transformation.
수학
null
kci_detailed_000038.xml
ART001397260
oai_dc
A Stage-Structured Predator-Prey System with Time Delay and Beddington-DeAngelis Functional Response
A Stage-Structured Predator-Prey System with Time Delay and Beddington-DeAngelis Functional Response
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Lingshu Wang(Hebei University of Economics, China); Rui Xu(Shijiazhuang Mechanical Engineering College (China)); Guanghui Feng(Shijiazhuang Mechanical Engineering College)" ]
A stage-structured predator-prey system with time delay and Beddington-DeAngelis functional response is considered. By analyzing the corresponding characteristic equation, the local stability of a positive equilibrium is investigated. The existence of Hopf bifurcations is established. Formulae are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory and center manifold theorem. Numerical simulations are carried out to illustrate the theoretical results.
수학
null
kci_detailed_000038.xml
ART001397297
oai_dc
Convolution Properties of Certain Class of Multivalent Meromorphic Functions
Convolution Properties of Certain Class of Multivalent Meromorphic Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Pramila Vijaywargiya(University of Rajasthan,India)" ]
The purpose of the present paper is to introduce a new subclass of meromorphic multivalent functions defined by using a linear operator associated with the generalized hypergeometric function. Some properties of this class are established here by using the principle of differential subordination and convolution in geometric function theory.
수학
null
kci_detailed_000038.xml
ART001397265
oai_dc
On a Class of Meromorphic Functions dened by Certain Linear Operators
On a Class of Meromorphic Functions dened by Certain Linear Operators
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Shanmugam Sivaprasad Kumar(Delhi College of Engineering,India); Harish Chander Taneja(Delhi College of Engineering,India)" ]
In the present investigation, we introduce new classes of p-valent meromorphic functions defined by Liu-Srivastava linear operator and the multiplier transform and study their properties by using certain first order differential subordination and superordination.
수학
null
kci_detailed_000038.xml
ART001397301
oai_dc
An Application of Furuta Inequality to Linear Operator Equations
An Application of Furuta Inequality to Linear Operator Equations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "안은경(Kyungpook National University); 임용도(경북대학교)" ]
A class of Hermitian operators B admitting a positive semidefinite solution of the linear operator equation [수식] for a fixed positive definite operator A is given via the Furuta inequality.
수학
null
kci_detailed_000038.xml
ART001397306
oai_dc
Extinction and Permanence of a Holling I Type Impulsive Predator-prey Model
Extinction and Permanence of a Holling I Type Impulsive Predator-prey Model
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hunki Baek(Kyungpook National University); 정창도(Kyungpook National University)" ]
We investigate the dynamical properties of a Holling type I predator-prey model, which harvests both prey and predator and stock predator impulsively. By using the Floquet theory and small amplitude perturbation method we prove that there exists a stable prey-extermination solution when the impulsive period is less than some critical value, which implies that the model could be extinct under some conditions. Moreover, we give a sufficient condition for the permanence of the model.
수학
null
kci_detailed_000038.xml
ART001397300
oai_dc
On a Reverse of the Slightly Sharper Hilbert-type Inequality
On a Reverse of the Slightly Sharper Hilbert-type Inequality
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jianhua Zhong(Guangdong Institute of Education,China)" ]
In this paper, by introducing parameters γ, α and two pairs of conjugate exponents (p; q), (r; s) and applying the improved Euler-Maclaurin’s summation formula, we establish a reverse of the slightly sharper Hilbert-type inequality. As applications, the strengthened version and the equivalent form are givenper than inequality
수학
null
kci_detailed_000038.xml
ART001397296
oai_dc
Approximation of Common Fixed Points for a Family of Non Lipschitzian Mappings
Approximation of Common Fixed Points for a Family of Non Lipschitzian Mappings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Tae Hwa Kim(Pukyong National University); 박용길(Hanzhong University)" ]
In this paper, we first introduce a family S = {Sn : C → C} of non-Lipschitzian mappings, called total asymptotically nonexpansive (briefly, TAN) on a nonempty closed convex subset C of a real Banach space X, and next give necessary and sufficient conditions for strong convergence of the sequence {xn} defined recursively by the algorithm xn+1 = Snxn, n ≥ 1, starting from an initial guess x1 ∈ C, to a common fixed point for such a continuous TAN family S in Banach spaces. Finally, some applications to a finite family of TAN self mappings are also added.
수학
null
kci_detailed_000038.xml
ART001429056
oai_dc
BL-Algebras Based on Soft Set Theory
BL-Algebras Based on Soft Set Theory
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "전영배(경상대학교); Jianming Zhan(Hubei Institute for Nationalities, China)" ]
Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft BL-algebras by using the soft set theory. The notion of lteristic soft BL-algebras is introduced and some related properties are investigated.
수학
null
kci_detailed_000038.xml
ART001429033
oai_dc
Spectral Analysis of Four Term Differential Operator
Spectral Analysis of Four Term Differential Operator
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Nyamwala Fredrick Oluoch(Universit¨at Osnabr¨uck, Germany)" ]
By strengthening dichotomy condition and weakening decay conditions, we show that a four term 2n-th order differential operator with unbounded coefficients is nonlimit-point. Using stringent conditions we show that the deficiency index of this operator is determined by the behaviour of the coefficients themselves. Similarly, we prove the absence of singular continuous spectrum and that the absolutely continuous spectrum has multiplicity two.
수학
null
kci_detailed_000038.xml
ART001429043
oai_dc
On Some New Paranormed Difference Sequence Spaces De- fined by Orlicz Functions
On Some New Paranormed Difference Sequence Spaces De- fined by Orlicz Functions
{ "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, India); Hemen Dutta(A.D.P. College, India)" ]
The main aim of this article is to introduce a new class of sequence spaces using the concept of n-norm and to investigate these spaces for some linear topological structures as well as examine these spaces with respect to derived (n-1)-norm. We use an Orlicz function, a bounded sequence of positive real numbers and some dierence operators to construct these spaces so that they become more generalized and some other spaces can be derived under special cases. These investigations will enhance the acceptability of the notion of n-norm by giving a way to construct dierent sequence spaces with elements in n-normed spaces.
수학
null
kci_detailed_000038.xml
ART001429041
oai_dc
The Leading Finite Type Coefficients of the Links–Gould Polynomial of a Link
The Leading Finite Type Coefficients of the Links–Gould Polynomial of a Link
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Atsushi Ishii(University of Tsukuba Tsukuba , 일본)" ]
We show that the Links–Gould polynomial of a link has finite type coefficients in a multivariate series expansion, and express the leading coefficients in terms of the linking numbers of a link.
수학
null
kci_detailed_000038.xml
ART001429055
oai_dc
1-(2-) Prime Ideals in Semirings
1-(2-) Prime Ideals in Semirings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Pandarinathan Nandakumar(Perunthalaivar Kamarajar Institute of Engineering, India)" ]
In this paper, we introduce the concepts of 1-prime ideals and 2-prime ideals in semirings. We have also introduced m1-system and m2-system in semiring. We have shown that if Q is an ideal in the semiring R and if M is an m2-system of R such that Q∩M =emptyset then there exists as 2-prime ideal P of R such that Q ⊆ P with P∩M =emptyset.
수학
null
kci_detailed_000038.xml
ART001429046
oai_dc
Skew Difference Algebras
Skew Difference Algebras
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ivan Chajda(Palacky University Olomouc (Czech Republic))" ]
We modify the definition of difference algebra given by J. Meng to obtain a structure which is a directoid with sectional switching involutions with respect to the given partial order. Moreover, we show that this is a representation of our skew difference algebras because every such directoid can be converted into a skew difference algebra.
수학
null
kci_detailed_000038.xml
ART001429050
oai_dc
When Some Complement of an EC-Submodule is a Direct Summand
When Some Complement of an EC-Submodule is a Direct Summand
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Canan Celep Yugel, Denizli(Pamukkale University); Adnan Tercan, Ankara(Hacettepe University)" ]
A module M is said to satisfy the EC11 condition if every ec-submodule of M has a complement which is a direct summand. We show that for a multiplication module over a commutative ring the EC11 and P-extending conditions are equivalent. It is shown that the EC11 property is not inherited by direct summands. Moreover, we prove that if M is an EC11-module where SocM is an ec-submodule, then it is a direct sum of a module with essential socle and a module with zero socle. An example is given to show that the reverse of the last result does not hold.
수학
null
kci_detailed_000038.xml
ART001429051
oai_dc
The Signless Laplacian Spectral Radius for Bicyclic Graphs with k Pendant Vertices
The Signless Laplacian Spectral Radius for Bicyclic Graphs with k Pendant Vertices
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Lihua Feng(Shandong Institute of Business and Technology, china)" ]
In this paper, we study the signless Laplacian spectral radius of bicyclic graphs with given number of pendant vertices and characterize the extremal graphs.
수학
null
kci_detailed_000038.xml
ART001429057
oai_dc
Generalization of Hardy-Hilbert's Inequality and Applications
Generalization of Hardy-Hilbert's Inequality and Applications
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Aziz Saglam(Afyon Kocatepe University,Turkey); Mehmet Zeki Sarikaya(Afyon Kocatepe University, Turkey); Huseyin Yildirim(Afyon Kocatepe University)" ]
In this paper, by introducing some parameters we establish an extension of Hardy-Hilbert's integral inequality and the corresponding inequality for series. As an application,the reverses, some particular results and their equivalent forms are considered.
수학
null
kci_detailed_000038.xml
ART001429040
oai_dc
The Fekete-Szeg"o Problem for A Generalized Subclass of An-alytic Functions
The Fekete-Szeg"o Problem for A Generalized Subclass of An-alytic Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Halit Orhan(Ataturk Universitesi, 터키); Erhan Deniz(Ataturk University, 터키)" ]
In this present work, the authors obtain Fekete-Szego inequality for certain normalized analytic function f(z) defined on the open unit disk for which (1-α)z(Dλ,μmf(z))'+αz(Dλ,μm+1f(z))'/(1-α)Dλ,μmf(z))+αDDλ,μm+1f(z) (λ≥μ≥0,m∈No,α≥0) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution)are given. As a special case of this result, Fekete-Szego inequality for a class of functions defined through fractional derivatives is obtained. The motivation of this paper is to generalize the Fekete-Szego inequalities obtained by Srivastava et al., Orhan et al. and Shanmugam et al., by making use of the generalized differential operator Dλ,μm
수학
null
kci_detailed_000038.xml
ART001429023
oai_dc
The Factor Domains that Result from Uppers to Prime Ideals in Polynomial Rings
The Factor Domains that Result from Uppers to Prime Ideals in Polynomial Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "David Earl Dobbs(University of Tennessee)" ]
Let P be a prime ideal of a commutative unital ring R; X an indeterminate;D := R/P; L the quotient field of D; F an algebraic closure of L; alpha∈ L[X] a monic irreducible polynomial; xi any root of alpha in F; and Q = <P,alpha>, the upper to P with respect to alpha. Then R[X]/Q is R-algebra isomorphic to D[xi]; and is R-isomorphic to an overring of D if and only if deg(alpha) = 1.
수학
null
kci_detailed_000038.xml
ART001429030
oai_dc
New Sixth-Order Improvements of the Jarratt Method
New Sixth-Order Improvements of the Jarratt Method
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "김용일(고려대학교)" ]
In this paper, we construct some improvements of the Jarratt method for solving non-linear equations. A new sixth-order method are developed and numerical examples are given to support that the method obtained can compete with other sixthorder iterative methods.
수학
null
kci_detailed_000038.xml
ART001429045
oai_dc
Unicity of Meromorphic Function and its Derivative
Unicity of Meromorphic Function and its Derivative
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ang Chen(Shandong University, China); Guowei Zhang(Shandong University, china)" ]
In this paper, we deal with the uniqueness problems of meromorphic functions that share a small function with its derivative and improve some results of Yang, Yu, Lahiri, and Zhang, also answer some questions of T. D. Zhang and W. R. Lu.
수학
null
kci_detailed_000038.xml
ART001429047
oai_dc
Weak Hyponomal Composition Operators Induced by a Tree
Weak Hyponomal Composition Operators Induced by a Tree
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "이미령(경북대학교); 안효근(경북대학교)" ]
Let G = (V, E, μ) be a weighted directed tree, where V is a vertex set, E is an edge set, and mu is a sigma-finite measure on V. The tree G induces a composition operator C on the Hilbert space l²(V). Hand-type directed trees are defined and characterized the weak hyponormalities of such C in this note. Also some additional related properties are discussed. In addition, some examples related to directed hand-type trees are provided to separate classes of weak-hyponormal operators.
수학
null
kci_detailed_000038.xml
ART001429058
oai_dc
The Dynamics of Solutions to the Equation xn+1=p+xn-k/q+xn+xn-k/xn
The Dynamics of Solutions to the Equation xn+1=p+xn-k/q+xn+xn-k/xn
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Xiaona Xu(Sun Yat-Sen University, 중국); Yongjin Li(Sun Yat-sen University, 중국)" ]
We study the global asymptotic stability, the character of the semicycles, the periodic nature and oscillation of the positive solutions of the difference equation xn+1=p+xn-k/q+xn+xn-k/xn,n=0,1,2,…. p,q ∈ (0,∞),q ≠ 2, k∈(1,2,…)and the initial values x-k,…,x0 are arbitrary positive real numbers.
수학
null
kci_detailed_000038.xml
ART001429060
oai_dc
The Fourth and Eighth Order Mock Theta Functions
The Fourth and Eighth Order Mock Theta Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bhaskar Srivastava(Lucknow University)" ]
In the paper we consider deemed three mock theta functions introduced by Hikami. We have given their alternative expressions in double summation analogous to Hecke type expansion. In proving we also give a new Bailey pair relative to a2. I presume they will be helpful in getting fundamental transformations.
수학
null
kci_detailed_000038.xml
ART001349593
oai_dc
Regularity for Very Weak Solutions of A-Harmonic Equation with Weight
Regularity for Very Weak Solutions of A-Harmonic Equation with Weight
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Gao Hong-ya(Hebei Unviersity); Zhang Yu(Hebei University); Chu Yu-ming(Huzhou Teachers College)" ]
This paper deals with very weak solutions of the A-harmonic equation divA(x,▽u) = 0 (*) with the operator A : Ω × Rn → Rn satisfies some coercivity and controllable growth conditions with Muckenhoupt weight. By using the Hodge decomposition with weight, a regularity property is proved: There exists an integrable exponent r1 = r1(λ, n, p) < p, such that every very weak solution [수식] with r1 < r < p belongs to [수식]. That is, u is a weak solution to (*) in the usual sense.
수학
null
kci_detailed_000038.xml
ART001349596
oai_dc
Some Properties of (Y) Class Operators
Some Properties of (Y) Class Operators
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ahmed Bachir(King Khaled University); Salah Mecheri(King Saud University)" ]
In this paper we study some spectral properties of the class (Y) operators and we will investigate on the relation between this class and other usual classes of operators.
수학
null
kci_detailed_000038.xml
ART001349624
oai_dc
A Note on GQ-injectivity
A Note on GQ-injectivity
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "김진용(경희대학교)" ]
The purpose of this note is to improve several known results on GQ-injective rings. We investigate in this paper the von Neumann regularity of left GQ-injective rings. We give an answer a question of Ming in the positive. Actually it is proved that if R is a left GQ-injective ring whose simple singular left R-modules are GP-injective then R is a von Neumann regular ring.
수학
null
kci_detailed_000038.xml
ART001349621
oai_dc
Coffcient Estimates in a Class of Strongly Starlike Functions
Coffcient Estimates in a Class of Strongly Starlike Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Janusz Sokol(Rzeszow University of Technology ul.)" ]
In this paper we consider some cofficient estimates in the subclass SL* of strongly starlike functions defined by a certain geometric condition.
수학
null
kci_detailed_000038.xml
ART001349617
oai_dc
Almost Periodic Processes in Ecological Systems with Impulsive Perturbations
Almost Periodic Processes in Ecological Systems with Impulsive Perturbations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Gani Trendafilov Stamov(Department of Mathematics Technical University)" ]
In the present paper we investigate the existence of almost periodic processes of ecological systems which are presented with nonautonomous N-dimensional impulsive Lotka Volterra competitive systems with dispersions and fixed moments of impulsive perturbations. By using the techniques of piecewise continuous Lyapunov’s functions new sufficient conditions for the global exponential stability of the unique almost periodic solutions of these systems are given.
수학
null
kci_detailed_000038.xml
ART001349611
oai_dc
On Applications of Differential Subordination to Certain Subclass of Multivalent Functions
On Applications of Differential Subordination to Certain Subclass of Multivalent Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Rasoul Aghalary(University of Urimia); Zhi-Gang Wang(Changsha University of Science and)" ]
In the present paper, we introduce and investigate a new subclass of multivalent functions associated with the Cho-Kwon-Srivastava operator γλp (a, c). Such results as inclusion relationships, convolution properties and criteria for starlikeness are proved. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.
수학
null
kci_detailed_000038.xml
ART001349615
oai_dc
Stability of Quartic Mappings in Non-Archimedean Normed Spaces
Stability of Quartic Mappings in Non-Archimedean Normed Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Alireza Kamel Mirmostafaee(Ferdowsi University of Mashhad)" ]
We establish a new method to prove Hyers-Ulam-Rassias stability of the quartic functional equation f(2x + y) + f(2x − y) + 6f(y) = 4[f(x + y) + f(x − y) + 6f(x)] in non-Archimedean normed linear spaces.
수학
null
kci_detailed_000038.xml
ART001349620
oai_dc
Lower Bounds on Boundary Slope Diameters for Montesinos Knots
Lower Bounds on Boundary Slope Diameters for Montesinos Knots
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Kazuhiro Ichihara(Nara University of Education); Shigeru Mizushima(Tokyo Institute of Technology)" ]
In this paper, we give two lower bounds on the diameter of the boundary slope set of a Montesinos knot. One is described in terms of the minimal crossing numbers of the knots, and the other is related to the Euler characteristics of essential surfaces with the maximal/minimal boundary slopes.
수학
null
kci_detailed_000038.xml
ART001349608
oai_dc
On Quasi-Baer and p.q.-Baer Modules
On Quasi-Baer and p.q.-Baer Modules
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Muhittin Baser(Kocatepe University); Abdullah Harmanci(Hacettepe University)" ]
For an endomorphism α of R, in [1], a module MR is called α-compatible if, for any m 2 M and a 2 R, ma = 0 iff mα(a) = 0, which are a generalization of -reduced modules. We study on the relationship between the quasi-Baerness and p.q.- Baer property of a module MR and those of the polynomial extensions (including formal skew power series, skew Laurent polynomials and skew Laurent series). As a consequence we obtain a generalization of [2] and some results in [9]. In particular, we show: for an α-compatible module MR (1) MR is p.q.-Baer module iff M[x; α]R[x;α] is p.q.-Baer module. (2) for an automorphism α of R, MR is p.q.-Baer module iff M[x, x−1; α]R[x,x−1;α] is p.q.- Baer module.
수학
null
kci_detailed_000038.xml
ART001349625
oai_dc
On a New Hilbert-type Integral Inequality
On a New Hilbert-type Integral Inequality
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Dongmei Xin(Guangdong Institute of Education)" ]
By introducing a parameter and estimating the weight coefficient, we obtain a new Hilbert-type integral inequality with a composite kernel and a best constant factor. As applications,we also consider its equivalent forms and reverse forms.
수학
null
kci_detailed_000038.xml