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ART000917082
oai_dc
Interpolation Problems for Trace-Class Operator in Tridiagonal Algebra
Interpolation Problems for Trace-Class Operator in Tridiagonal Algebra
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "JOO HO KANG(Taegu University); YOUNG SOO JO(Keimyung University)" ]
Given operators X and Y in a Hilbert space, an interpolating operator is a bounded operator T such that TX=Y. In this article, we obtained the following: Let X=(x_i,j) and Y=(y_i,j) be operators in B(H) such that s_iσ(i) 0 for all i where σ:N->N is a mapping. Then the following statements are equivalent. (1) There exists an operator A in AlgL such that AX=Y, every E in L reduces A and A is a trace-class operator. (2) .
수학
null
kci_detailed_000040.xml
ART000973380
oai_dc
Idempotent Separating Congruences in a Weak P-regular Semigroup
Idempotent Separating Congruences in a Weak P-regular Semigroup
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "M. K. SEN(University of Calcutta); A. SETH(Bangabasi College)" ]
Yamada and Sen introduced the concept of P-regularity[1] in a regular semigroup as a generalization of both the concept of "orthgodox" and the concept of "(special) involution". In [2] Sen and Chattopadhyay defined p-regular semigroup by weakening the defining conditions of P-regular semigroup. In this paper we call this p-regular semigroup as weak P-regular semigroup. In this paper firstly we give an alternate characterization of the maximum idempotent separating congruence and secondly we give a discription of the lattice of the idempotent separation congruences on a weak P-regular semigroup.
수학
null
kci_detailed_000040.xml
ART000917045
oai_dc
The Depth of a Weak Hypersubstitution
The Depth of a Weak Hypersubstitution
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "S. LEERATANAVALEE(ChiangMai University)" ]
In this paper the concept of the depth of a hypersubstitution, which was introduced by K. Denecke, J. Koppitz and Sl.Shtrakov, will be generalized to the depth of a weak hypersubstitution. Our goal is to describe the behavior of the depth under some mappings defined on sets of polynomials such as weak hypersubstitutions
수학
null
kci_detailed_000040.xml
ART000917047
oai_dc
Estimates of Hyperbolic Metric with Applications to Teichmuller Spaces
Estimates of Hyperbolic Metric with Applications to Teichmuller Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "TOSHIYUKI SUGAWA(Kyoto University)" ]
We show a monotonicity property of the hyperbolic metric of a punctured rectangular torus. We will then deduce a lower estimate of the hyperbolic metric of the domain C\{0,1}. We also determine the value of hyperbolic sup-norm of standard quadratic differentials on the once-punctured square torus or the symmetric four-times punctured sphere. This enables us to compute numerically the inner and outer radii of the Bers embedding of the corrdesponding Teichmuller space under the hypothesis of some conjectural properties of it
수학
null
kci_detailed_000040.xml
ART000917046
oai_dc
Fuzzy Ideals Extensions in Semigroups
Fuzzy Ideals Extensions in Semigroups
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "XIANG YUN XIE(Wuyi University)" ]
In this paper, we shall introduce the notions of fuzzy ideal extension property, strongly fuzzy extension property and fuzzy property of a semigroup S. We also discuss the relations of these fuzzy ideal extension poperties and some properties of semigroups with the fuzzy ideal extension prorerty. Furthermore, we prove that a semigroup has the ideal extension property if and only if S has the strongly fuzzy ideal extension property. As an application of the results of this paper, we obtain characterizations of cyclic semigroups
수학
null
kci_detailed_000040.xml
ART000917083
oai_dc
On Certain Subclasses of Meromorphically Univalent Funtions
On Certain Subclasses of Meromorphically Univalent Funtions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "J. PATEL(Utkal University); POULASTI SAHOO(Sonepur College)" ]
By using the techniques involving Briot-Bouquet differential subordination, we study various properties and characteristics of the subclass of meromorphic functions in the annulus . The results, obtained here, include inclusion relations, coefficient estimates and some convolution properties for functions belong to the class .
수학
null
kci_detailed_000040.xml
ART000973724
oai_dc
Locally Sierpinski Spaces as Interval Quotients
Locally Sierpinski Spaces as Interval Quotients
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "F. J. CRAVEIRO de CARVALHO(Universidade de Coimbra); BERND WEGNER(TU Berlin)" ]
In [2] it was shown that every connected, finite, locally Sierpinski space can be obtained as a quotient ,where G is a group of homeomorphisms. This result was established with basis on a result which does not extend to R. The purpose of this note is to show that the only locally Sierpinski spaces which occur as quotients I/G, where I is a real interval, have at most three points. Moreover, as a by-product we exhibit the relations between the orbits of the operation of G in the case that the orbit space has such a simple topology.
수학
null
kci_detailed_000040.xml
ART000917043
oai_dc
Incomparability and Transitivity
Incomparability and Transitivity
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "J. NEGGERS(University of Alabama); YOUNG HEE KIM(Chungbuk National University); HEE SIK KIM(Hanyang University)" ]
In this paper we discuss a dimension (parallel dimension) of pogroupoids associated with posets and relate it to their pogroupoid algebras. This dimension is also an invariant of the incomparability graph (Harris diagram) of the poset under graph isomorphism (incomparability preserving bijection or bijective Harris mappings on the poset). This bijective mappings include but are not restructed to order-isomorphisms and provide other insights into the structure of the poset from the diagram point of view.
수학
null
kci_detailed_000040.xml
ART001185136
oai_dc
On a Linear Combination of Classes of Multivalently Harmonic Functions
On a Linear Combination of Classes of Multivalently Harmonic Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "OM P. AHUJA(Kent State University); JAY M. JAHANGIRI(Kent State University)" ]
New classes of multivalent harmonic functions are introduced. We give sufficient coefficient conditions for these classes. These coefficient conditions are shown to be also necessary if certain restrictions are imposed on the coefficients of these harmonic functions. Furthermore, we determine a representation theorem, inclusion relations, and distortion bounds for these functions.
수학
null
kci_detailed_000040.xml
ART000917044
oai_dc
Semilattices with an Involution
Semilattices with an Involution
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "IVAN CHAJDA(Palacky University)" ]
Semilattice with a unary operation are treated. We set a simple condition such that every semilattice with a unary operation satisfying it is a lattice. If one more simple condition is satisfied, this lattice is an ortholattice where the unary operation is a ortho-complementation.
수학
null
kci_detailed_000040.xml
ART000917048
oai_dc
Hyers-Ulam-Rassias Stability of a Quadratic Functional Equation
Hyers-Ulam-Rassias Stability of a Quadratic Functional Equation
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "ICK-SOON CHANG(Chungnam National University); HARK-MAHN KIM(Chungnam National University)" ]
In this paper, the Hyers-Ulam-Rassias stability of the equation f(x+y+z)+f(x)+f(y)+f(z)=f(x+y)+f(y+z)+f(z+x) shall be proved under the approximately even (or odd) condition by using the ideas from the papers of Rassias[12] and Hyers[5].
수학
null
kci_detailed_000040.xml
ART000917085
oai_dc
κ-Compact Frames
κ-Compact Frames
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "NIZAR MARCUS(University of the Western Cape)" ]
A pointfree version of Herrlich's κ-compact spaces is presented. We show that the classes of κ-LIndeloef frames are generated by the open-set lattices of spaces introduced by Husek to show that the categories of κ-compact spaces are all simple in the category of Hausdorff spaces. A pointfree analogue of Hong's zero dimensionally κ-compact spaces is also presented.
수학
null
kci_detailed_000040.xml
ART000917086
oai_dc
A Note on almost s-continuous Functions
A Note on almost s-continuous Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "SEONG HOON CHO(Hanseo University)" ]
This paper gives some characterizations of almost s-continuous functions.
수학
null
kci_detailed_000040.xml
ART000917049
oai_dc
Some Results for Unified Riemann-Zeta Function
Some Results for Unified Riemann-Zeta Function
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "S. P. GOYAL(University of Rajasthan); A. PARASHAR(University of Rajasthan)" ]
In this paper we first establish N-fractional calculus of unified Riemann-zeta function and discuss its convergence. Several identities for this function are given. The results obtained recently by K. Nishimoto follow as special cases of our results.
수학
null
kci_detailed_000040.xml
ART000973723
oai_dc
On a Connection on Contact and Hypercontact Manifolds
On a Connection on Contact and Hypercontact Manifolds
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "H. KITAHARA(Kanazawa University); JIN SUK PAK(Kyungpook University)" ]
In this paper we investigate some geometric properties of the product connection due to I. Vaisman for a contact structure and hypercontact structure from the viewpoint of Riemannian foliation and rewrite some results about those structures in 1970's by using this connection.
수학
null
kci_detailed_000040.xml
ART000972711
oai_dc
Convergence of the C^{1} Lagrange Polynomial Spline Interpolation
Convergence of the C^{1} Lagrange Polynomial Spline Interpolation
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "SANG DONG KIM(Kyungpook National University); SANG HUN LEE(Kyungpook National University); BYEONG CHUN SHIN(서울대학교)" ]
For a smooth function defined in the unit interval, a convergence analysis of its C^{1} Lagrange polynomial spline interpolation is provided with some numerical evidences. The C^{1} Lagrange polynomial splines employed in this paper is defined with Legendre-Gauss points in uniform subintervals of [0,1].
수학
null
kci_detailed_000040.xml
ART000973379
oai_dc
On Partially Unit-regularity
On Partially Unit-regularity
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "HUANYIN CHEN(Hunan Normal University)" ]
In this paper, we investigate partially unit-regularity. We show that R is partially unit-regular if and only if whenever ab and ba are strongly π-regular, there exists a u U(R) such that (ab)d=u(ba)d u -1. Furthermore, we show that if T is the ring of a Morita context(A,B,M,N,ψ,φ) with zero pairings, then T is partially unit-regular if and only if so are A and B.
수학
null
kci_detailed_000040.xml
ART000917087
oai_dc
On LP-Sasakian Manifolds with a Coefficient α
On LP-Sasakian Manifolds with a Coefficient α
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "U. D. DE(University of Kalyani); A. A. SHAIKH(University of Kalyani); A. SENGUPTA(University of Kalyani)" ]
수학
null
kci_detailed_000040.xml
ART001278226
oai_dc
MV -Algebras of Continuous Functions and l-Monoids
MV -Algebras of Continuous Functions and l-Monoids
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Myeong Og Kim(Kyungpook National University); Tae Ho Choe(McMaster University, Canada); Eun Sup Kim(경북대학교); Young Soo Park(경북대학교)" ]
A. Di Nola & S.Sessa [8] showed that two compact spaces X and Y are homeomorphic iff the MV -algebras C(X, I) and C(Y, I) of continuous functions defined on X and Y respectively are isomorphic. And they proved that A is a semisimple MV -algebra iff A is a subalgebra of C(X) for some compact Hausdorff space X. In this paper, firstly by use of functorial argument, we show these characterization theorems. Furthermore we obtain some other functorial results between topological spaces and MV -algebras. Secondly as a classical problem, we find a necessary and sufficient condition on a given residuated l-monoid that it is segmenently embedded into an l-group with order unit.
수학
null
kci_detailed_000040.xml
ART001277957
oai_dc
Enumeration of Algebraic Tangles with Applications to Theta- curves and Handcuff Graphs
Enumeration of Algebraic Tangles with Applications to Theta- curves and Handcuff Graphs
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hiromasa Moriuchi(Osaka City University)" ]
We enumerate all algebraic tangles of seven crossings or less up to equivalence. These tangles are mutually distinguished by the corresponding links and their double. The result will be used for enumerating θ-curves and handcuff graphs in a forthcoming paper.
수학
null
kci_detailed_000040.xml
ART001278225
oai_dc
On Observability of Fuzzy Dynamical Matrix Lyapunov Systems
On Observability of Fuzzy Dynamical Matrix Lyapunov Systems
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Madhunapantula Suryanarayana Murty(Acharya Nagarjuna University-Nuzvid Camp); Murty and Grande Suresh Kumar(Acharya Nagarjuna University-Nuzvid Camp)" ]
In this paper we generate a fuzzy dynamical matrix Lyapunov system and obtain a sufficient condition for the observability of this system.
수학
null
kci_detailed_000040.xml
ART001278210
oai_dc
Some Fixed Point Theorems for Multivalued Maps Satisfying an Implicit Relation on Metrically Convex Spaces
Some Fixed Point Theorems for Multivalued Maps Satisfying an Implicit Relation on Metrically Convex Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ishak Altun(Kirkkale University); Duran Turkoglu(Gazi University)" ]
In this paper, we give some fixed point theorems for multivalued maps satisfying an implicit relation on metrically convex spaces. Our results extend and generalize some fixed point theorem in the literature.
수학
null
kci_detailed_000040.xml
ART001278221
oai_dc
Real Hypersurfaces in Complex Hyperbolic Space with Commuting Ricci Tensor
Real Hypersurfaces in Complex Hyperbolic Space with Commuting Ricci Tensor
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Young Jin Suh(Kyungpook National University (Korea)); U-Hang Ki(The National Academy of Sciences,)" ]
In this paper we consider a real hypersurface M in complex hyperbolic space HnC satisfying SΦA = AΦS, where , A and S denote the structure tensor, the shape operator and the Ricci tensor of M respectively. Moreover, we give a characterization of real hypersurfaces of type A in HnC by such a commuting Ricci tensor.
수학
null
kci_detailed_000040.xml
ART001278227
oai_dc
Residual P-Finiteness of Certain Generalized Free Products of Nilpotent Groups
Residual P-Finiteness of Certain Generalized Free Products of Nilpotent Groups
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "김관수(영남대학교); Youngmi Lee(Yeungnam University); James McCarron(Waterloo Maple, Inc. Waterloo)" ]
We show that free products of finitely generated and residually p-finite nilpotent groups, amalgamating p-closed central subgroups are residually p-finite. As a consequence, we are able to show that generalized free products of residually p-finite abelian groups are residually p-finite if the amalgamated subgroup is closed in the pro-p topology on each of the factors.
수학
null
kci_detailed_000040.xml
ART001278222
oai_dc
Weak Normality and Strong t-closedness of Generalized Power Series Rings
Weak Normality and Strong t-closedness of Generalized Power Series Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hwankoo Kim(Hoseo University (Korea)); Eun Ok Kwon(Changwon National University); Tae In Kwon(Changwon NationalUniversity (Korea))" ]
For an extension A ⊆ B of commutative rings, we present a sufficient condition for the ring [[A^{S}, ^{≤}]] of generalized power series to be weakly normal (resp., strongly t-closed) in [[B^{S}, {≤}]], where (S, ≤) be a torsion-free cancellative strictly ordered monoid. As a corollary, it can be applied to the ring of power series in infinitely many indeterminates as well as in finite indeterminates.
수학
null
kci_detailed_000040.xml
ART001278229
oai_dc
Stability for a Holling Type IV Food Chain System With Impulsive Perturbations
Stability for a Holling Type IV Food Chain System With Impulsive Perturbations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hunki Baek(Kyungpook National University); Younghae Do(Kyungpook National University)" ]
We investigate a three species food chain system with a Holling type IV functional response and impulsive perturbations. We find conditions for local and global stabilities of prey(or predator) free periodic solutions by applying the Floquet theory and the comparison theorems.
수학
null
kci_detailed_000040.xml
ART001278220
oai_dc
Some Further Results on Weighted Sharing of Values for Meromorphic Functions Concerning a Result of Terglane
Some Further Results on Weighted Sharing of Values for Meromorphic Functions Concerning a Result of Terglane
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Xiao-Min Li(Ocean University of China); Hong-Xun Yi(Shandong University (China))" ]
In this paper, we deal with the problem of meromorphic functions that have three weighted sharing values, and obtain some uniqueness theorems which improve those given by N. Terglane, Hong-Xun Yi & Xiao-Min Li, and others. Some examples are provided to show that the results in this paper are best possible.
수학
null
kci_detailed_000040.xml
ART001278206
oai_dc
On Generalized Integral Operator Based on Salagean Operator
On Generalized Integral Operator Based on Salagean Operator
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Huda Abdullah Al-Kharsani(Faculty of Science, Girls College,Saudi )" ]
Let A(p) be the class of function f: z^{p} + sum^{infty }_{j=1} a_{j} z^{p+j} analytic in the open unit disc E. Let, for any integer n > -p, f_{n+p-1} (z) = z^{p} + sum^{infty}_{j=1} (p+j)^{n+p-1} z^{p+j}. We define f^{(-1)}_{n+p-1}(z) by using convolution as f_{n+p-1} * f^{-1}_{n+p-1} = {z^{p}/{(1-z)^{n+p}}. A function p, analytic in E with p(0) = 1, is in the class P_{k} if int^{2pi }_{0} {Re }p(z)-{p} dthetal kpi, where z = re^{itheta}. We use the class P_{k} to introduce a new class of multivalent analytic functions and define an integral operator L_{n+p-1} (f) = f^{-1}_{n+p-1}* f for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.
수학
null
kci_detailed_000040.xml
ART001278224
oai_dc
Linear Preservers of Perimeters of Nonnegative Real Matrices
Linear Preservers of Perimeters of Nonnegative Real Matrices
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Seok-Zun Song(Cheju National University, Korea); 강경태(Cheju National University)" ]
For a nonnegative real matrix A of rank 1, A can be factored as ab^t for some vectors a and b. The perimeter of A is the number of nonzero entries in both a and b. If B is a matrix of rank k, then B is the sum of k matrices of rank 1. The perimeter of B is the minimum of the sums of perimeters of k matrices of rank 1, where the minimum is taken over all possible rank-1 decompositions of B. In this paper, we obtain characterizations of the linear operators which preserve perimeters 2 and k for some k≥4. That is, a linear operator T preserves perimeters 2 and k(≥4) if and only if it has the form T(A) = UAV , or T(A) = UA^tV with some invertible matrices U and V .
수학
null
kci_detailed_000040.xml
ART001278228
oai_dc
Permanence of a Three-species Food Chain System with Impulsive Perturbations
Permanence of a Three-species Food Chain System with Impulsive Perturbations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hunki Baek(Kyungpook National University); Hung Hwan Lee(Kyungpook National University)" ]
We investigate a three-species food chain system with Lotka-Volterra func- tional response and impulsive perturbations. In [23], Zhang and Chen have studied the system. They have given conditions for extinction of lowest-level prey and top predator and considered the local stability of lower-level prey and top predator eradication periodic solution. However, they did not give a condition for permanence, which is one of important facts in population dynamics. In this paper, we establish the condition for permanence of the three-species food chain system with impulsive perturbations. In addition, we give some numerical examples.
수학
null
kci_detailed_000040.xml
ART001278218
oai_dc
A Chemotherapy-Diffusion Model for the Cancer Treatment and Initial Dose Control
A Chemotherapy-Diffusion Model for the Cancer Treatment and Initial Dose Control
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hamdy Ibrahim Abdel-Gawad(Cairo University); Khaled Mmohamed Saad(Taiz University)" ]
A one site chemotherapy agent-diffusion model is proposed which accounts for diffusion of chemotherapy agent, normal and cancer cells. It is shown that, by controlling the initial conditions, consequently an initial dose of the chemotherapy agent, the system is guaranteed to evolute towards a target equilibrium state. Or, growth of the normal cells occurs against decay of the cancer cells. Effects of diffusion of chemotherapy-agent and cells are investigated through numerical computations of the concentrations in square and triangular cancer sites.
수학
null
kci_detailed_000040.xml
ART001278219
oai_dc
On Distribution of Order Statistics from Kumaraswamy Distribution
On Distribution of Order Statistics from Kumaraswamy Distribution
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Mridula Garg(University of Rajasthan (India))" ]
In the present paper we derive the distribution of single order statistics, joint distribution of two order statistics and the distribution of product and quotient of two order statistics when the independent random variables are from continuous Kumaraswamy distribution. In particular the distribution of product and quotient of extreme order statistics and consecutive order statistics have also been obtained. The method used is based on Mellin transform and its inverse.
수학
null
kci_detailed_000040.xml
ART001278212
oai_dc
Some properties of a Certain family of Meromorphically Univalent Functions defined by an Integral Operator
Some properties of a Certain family of Meromorphically Univalent Functions defined by an Integral Operator
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Rasoul Aghalary(University of Urimia)" ]
Making use of a linear operator, we introduce certain subclass of meromorphically univalent functions in the punctured unit disk and study its properties including some inclusion results, coefficient and distortion problems. Our result generalize many results known in the literature.
수학
null
kci_detailed_000040.xml
ART001278223
oai_dc
On Certain Extension of Hilbert’s Integral Inequality with Best Constants
On Certain Extension of Hilbert’s Integral Inequality with Best Constants
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yongjin Li(Sun Yat-sen University, ); Yu Lin(Sun Yat-Sen University); Bing He(Guangdong Education College)" ]
In this paper, by introducing a new function with two parameters, we give another generalizations of the Hilbert’s integral inequality with a mixed kernel k(x, y) = 1/A(x+y)+B|x−y| and a best constant factors. As applications, some particular results with the best constant factors are considered.
수학
null
kci_detailed_000040.xml
ART001278215
oai_dc
Norm and Numerical Radius of 2-homogeneous Polynomials on the Real Space l^{2}_{p}, (1 < p < infinite)
Norm and Numerical Radius of 2-homogeneous Polynomials on the Real Space l^{2}_{p}, (1 < p < infinite)
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Sung Guen Kim(Kyungpook National University)" ]
In this note, we present some inequalities for the norm and numerical radius of 2-homogeneous polynomials from the 2-dimensional real space l^{2}_{p}, (1 < p < infinite) to itself in terms of their coefficients. We also give an upper bound for n^(k)(l^{2}_{p}) ), (k = 2, 3, · · · ).
수학
null
kci_detailed_000040.xml
ART001240998
oai_dc
Modules Which Are Lifting Relative To Module Classes
Modules Which Are Lifting Relative To Module Classes
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Muhammet Tamer Kosan(Gebze Institute of Technology); Abdullah Harmanci(Hacettepe University)" ]
In this paper, we study a module which is lifting and supplemented relative to a module class. Let R be a ring, and let X be a class of R-modules. We will define X-lifting modules and X-supplemented modules. Several properties of these modules are proved. We also obtain results for the case of specific classes of modules.
수학
null
kci_detailed_000040.xml
ART001240999
oai_dc
WT-Classes of Differential Forms on Riemannian Manifolds
WT-Classes of Differential Forms on Riemannian Manifolds
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Gao Hongya(Hebei University); Gu Zhihua(Hebei University); Chu Yuming(Huzhou Teachers College)" ]
The purpose of this paper is to study the relations between quasilinear elliptic equations on Riemannian manifolds and differential forms. Two classes of differential forms are introduced and it is shown that some differential expressions are connected in a natural way to quasilinear elliptic equations.
수학
null
kci_detailed_000040.xml
ART001241000
oai_dc
On the Trajectory Null Scrolls in 3-Dimensional Minkowski Space-Time E³₁
On the Trajectory Null Scrolls in 3-Dimensional Minkowski Space-Time E³₁
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Soley Ersoy and Murat Tosun(Sakarya University)" ]
In this paper, the trajectory null scroll in 3-dimensional Minkowski space-time E³₁ is given by a firmly connected null oriented line moving with Cartan frame along null curve. Some theorems and results between curvatures of base curve and distribution pa- rameter of this surface are obtained. Moreover, some theorems and results related to being developable and minimal of this surface are given. And also, some relationships among geodesic curvature, geodesic torsion and the curvatures of null base curve of trajectory null scroll are found.
수학
null
kci_detailed_000040.xml
ART001243303
oai_dc
Maximal Hypersurfaces of (m+2)-Dimensional Lorentzian Space Forms
Maximal Hypersurfaces of (m+2)-Dimensional Lorentzian Space Forms
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Uur Dursun(Istanbul Technical University)" ]
We determine maximal space-like hypersurfaces which are the images of subbundles of the normal bundle of m-dimensional totally geodesic space-like submanifolds of an (m+ 2)-dimensional Lorentzian space form M₁^m+2 (c) under the normal exponential map. Then we construct examples of maximal space-like hypersurfaces of M₁^m+2 (c).
수학
null
kci_detailed_000040.xml
ART001240729
oai_dc
Uniqueness Theorems For Differential Polynomials Concerning Fixed-Points
Uniqueness Theorems For Differential Polynomials Concerning Fixed-Points
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Meng Chao(Shandong University)" ]
In this article, we deal with the uniqueness problems on meromorphic functions concerning differential polynomials that share fixed-points. Moreover we extend former results of W. C. Lin and H. X. Yi.
수학
null
kci_detailed_000040.xml
ART001260727
oai_dc
A New Hilbert-type Integral Inequality with Some Parametersand Its Reverse
A New Hilbert-type Integral Inequality with Some Parametersand Its Reverse
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Zitian Xie(Zhaoqing University); Bicheng Yang()" ]
In this paper, by introducing some parameters and estimating the weight function, we give a new Hilbert-type integral inequality with a best constant factor. The equivalent inequality and the reverse forms are considered.
수학
null
kci_detailed_000040.xml
ART001240727
oai_dc
Second Order Impulsive Neutral Functional Differential Inclusions
Second Order Impulsive Neutral Functional Differential Inclusions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yicheng Liu(Changsha University); Zhixiang Li(Changsha University)" ]
In this paper, we investigate the existence of solutions of second order impulsive neutral functional differential inclusions which the nonlinearity F admits convex and non-convex values. Some results under weaker conditions are presented. Our results extend previous ones. The methods rely on a fixed point theorem for condensing multivalued maps and Schaefer’s fixed point theorem combined with lower semi-continuous multivalued operators with decomposable values.
수학
null
kci_detailed_000040.xml
ART001241003
oai_dc
Strong Convergence Theorems for Asymptotically NonexpansiveMappings by Hybrid Methods
Strong Convergence Theorems for Asymptotically NonexpansiveMappings by Hybrid Methods
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Xiaolong Qin(Tianjin Polytechnic University); Yongfu Su(Tianjin Polytechnic University); Meijuan Shang(Shijiazhuang University)" ]
In this paper, we prove two strong convergence theorems for asymptotically nonexpansive mappings in Hibert spaces by hybrid methods. Our results extend and improve the recent ones announced by Nakajo, Takahashi [K. Nakajo, W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003) 372-379], Kim, Xu [T. H. Kim, H. K. Xu, Strong convergence of modified mann iterations for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal. 64 (2006) 1140-1152], Martinez-Yanes, Xu [C. Martinez-Yanes, H. K. Xu, Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal. 64 (2006) 2400-2411] and some others.
수학
null
kci_detailed_000040.xml
ART001240728
oai_dc
Kato’s Inequalities for Degenerate Quasilinear Elliptic Operators
Kato’s Inequalities for Degenerate Quasilinear Elliptic Operators
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Toshio Horiuchi(Ibaraki University)" ]
Let N ≥ 1 and p > 1. Let Ω be a domain of Rⁿ. In this article we shall establish Kato’s inequalities for quasilinear degenerate elliptic operators of the form Apu = divA(x,▽u) for u ∈ Kp(Ω ), where Kp(Ω ) is an admissible class and A(x, €) : ×Rⁿ → Rⁿ is a mapping satisfying some structural conditions. If p = 2 for example, then we have K₂(Ω ) = {u ∈ L¹ loc(Ω ) : αju, α²2 j,ku ∈ L¹ loc(Ω ) for j, k = 1, 2, · · · ,N}. Then we shall prove that Ap|u| ≥ (sgn+ u)^p-1 and Apu+ ≥ (sgn+ u)^p−1Apu in D'(Ω ) with u ∈ Kp(Ω ). These inequalities are called Kato’s inequalities provided that p = 2. The class of operators Ap contains the so-called p−harmonic operators Lp = div(|▽u|^p−2▽u) for A(x, €) = |€|^p−2€.
수학
null
kci_detailed_000040.xml
ART001241002
oai_dc
Growth order of Meromorphic Solutions of Higher-orderLinear Differential Equations
Growth order of Meromorphic Solutions of Higher-orderLinear Differential Equations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Junfeng Xu(Shandong University); Zhanliang Zhang(Zhaoqing University)" ]
In this paper, we investigate higher-order linear differential equations with entire coefficients of iterated order. We improve and extend the result of L. Z. Yang by using the estimates for the logarithmic derivative of a transcendental meromorphic function due to Gundersen and the extended Wiman-Valiron theory by Wang and Yi. We also consider the nonhomogeneous linear differential equations.
수학
null
kci_detailed_000040.xml
ART001241001
oai_dc
Global Small Solutions of the Cauchy Problem for NonisotropicSchodinger Equations
Global Small Solutions of the Cauchy Problem for NonisotropicSchodinger Equations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Xiangqing Zhao(Zhejiang Ocean University); Shangbin Cui(Sun Yat-Sen University)" ]
In this paper we study the existence of global small solutions of the Cauchy problem for the non-isotropically perturbed nonlinear Schr¨odinger equation: iut + △u + |u|^u + a ∑^d _i uxixixixi = 0, where a is real constant, 1 ≤ d < n is a integer, is a positive constant, and x = (x1, x2, · · · , xn) ∈ Rⁿ. For some admissible α we show the existence of global(almost global) solutions and we calculate the regularity of those solutions.
수학
null
kci_detailed_000040.xml
ART001265162
oai_dc
Finitely Generated Modules over Semilocal Rings and Characterizationsof (Semi-)Perfect Rings
Finitely Generated Modules over Semilocal Rings and Characterizationsof (Semi-)Perfect Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Chaehoon Chang(Kyungpook NationalUniversity)" ]
Lomp [9] has studied finitely generated projective modules over semilocal rings. He obtained the following: finitely generated projective modules over semilocal rings are semilocal. We shall give necessary and sufficient conditions for finitely generated modules to be semilocal modules. By using a lifting property, we also give characterizations of right perfect (semiperfect) rings. Our main results can be summarized as follows: (1) Let M be a finitely generated module. Then M has finite hollow dimension if and only if M is weakly supplemented if and only if M is semilocal. (2) A ring R is right perfect if and only if every flat right R-module is lifting and every right R-module has a flat cover if and only if every quasi-projective right R-module is lifting. (3) A ring R is semiperfect if and only if every finitely generated flat right R-module is lifting if and only if RR satisfies the lifting property for simple factor modules.
수학
null
kci_detailed_000040.xml
ART001241004
oai_dc
Another Look at Average Formulas of Nevanlinna CountingFunctions of Holomorphic Self-maps of the Unit Disk
Another Look at Average Formulas of Nevanlinna CountingFunctions of Holomorphic Self-maps of the Unit Disk
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "김홍오(KAIST)" ]
This is an extended version of the paper [K] of the author. The average formulas on the circles and disks around arbitrary points of Nevanlinna counting functions of holomorphic self-maps of the unit disk, given in terms of the boundary values of the selfmaps, are shown to give another characterization of the whole class or a special subclass of inner functions in terms of Nevanlinna counting function in addition to the previous applications to Rudin’s orthogonal functions.
수학
null
kci_detailed_000040.xml
ART001240730
oai_dc
Finite Dimension in Associative Rings
Finite Dimension in Associative Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Satyanarayana Bhavanari(Acharya Nagarjuna University); Nagaraju Dasari(Acharya Nagarjuna University); Balamurugan Kuppareddy Subramanyam(R. V. R and J. C. College of Engineering); Godloza Lungisile(Walter Sisulu University)" ]
The aim of the present paper is to introduce the concept “Finite dimension” in the theory of associative rings R with respect to two sided ideals. We obtain that if R has finite dimension on two sided ideals, then there exist uniform ideals U₁,U₂, · · · ,Un of R whose sum is direct and essential in R. The number n is independent of the choice of the uniform ideals Ui and ’n’ is called the dimension of R.
수학
null
kci_detailed_000040.xml
ART001240731
oai_dc
On the Generalized Hyers-Ulam-Rassias Stability for a FunctionalEquation of Two Types in p-Banach Spaces
On the Generalized Hyers-Ulam-Rassias Stability for a FunctionalEquation of Two Types in p-Banach Spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "박규홍(Seowon University); Yong-Soo Jung(Seowon University)" ]
We investigate the generalized Hyers-Ulam-Rassias stability in p-Banach spaces for the following functional equation which is two types, that is, either cubic or quadratic: 2f(x + 3y) + 6f(x − y) + 12f(2y) = 2f(x − 3y) + 6f(x + y) + 3f(4y). The concept of Hyers-Ulam-Rassias stability originated essentially with the Th. M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297-300.
수학
null
kci_detailed_000040.xml
ART001073353
oai_dc
Asymptotic Behaviour of Another Second Order Mock Theta Function
Asymptotic Behaviour of Another Second Order Mock Theta Function
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bhaskar Srivastava(Lucknow University)" ]
In this paper we show that the second order mock theta function, given by Hikami, is bounded and satisfies the second condition for the mock theta functions.
수학
null
kci_detailed_000040.xml
ART001075051
oai_dc
Oscillation of Linear Second Order Delay Dynamic Equations on Time Scales
Oscillation of Linear Second Order Delay Dynamic Equations on Time Scales
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hassan Ahmed Agwo(Ain Shams University)" ]
In this paper, we establish some new oscillation criteria for a second-order delay dynamic equation u44(t) + p(t)u( (t)) = 0 on a time scale T. The results can be applied on differential equations when T = R, delay difference equations when T = N and for delay q−difference equations when T =qN for q > 1.
수학
null
kci_detailed_000040.xml
ART001073352
oai_dc
Toroidal Manifolds and Dehn Fillings on Links
Toroidal Manifolds and Dehn Fillings on Links
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Nabil Sayari(Universite de Moncton)" ]
Let M be a hyperbolic 3-manifold such that ∂M has at least two boundary tori ∂0M and ∂1M. Suppose that M contains an essential orientable surface P of genus g with one outer boundary component ∂0P, lying in ∂0M and having slope λ in ∂0M, and p inner boundary components ∂iP, i = 1, · · · , p, each having slope α in ∂1M. Let β be a slope in ∂1M and suppose that M(β) is toroidal. Let ˆ T be a minimal essential torus in M(β), which means that ˆ T is pierced a minimal number of times by the core of the β-Dehnfilling, among all essential tori in M(β). Let T = ˆ T ∩ M and denote by t the number of components of ∂T. In this paper we prove: (i) If t ≥ 3, then (α, β) ≤ 6 + 10g − 5p, (ii) If t = 2, then (α, β) ≤ 13 + 24g − 12p, (iii) If t = 1, then (α, β) ≤ 1.
수학
null
kci_detailed_000040.xml
ART001073356
oai_dc
-Morphic Rings
-Morphic Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Qinghe Huang(Southeast University); Jianlong Chen(Southeast University)" ]
An element a in a ring R is called left morphic if R/Ra = l(a). A ring R is called left morphic if every element is left morphic. In this paper, an element a in a ring R is called left -morphic (resp. left G-morphic) if there exists a positive number n such that an (resp. an 6= 0) is left morphic. A ring R is called left -morphic (resp.left G-morphic) if every element is left -morphic (resp. left G-morphic). The Morita invariance of left -morphic (resp. left G-morphic) rings is discussed. Several relevant properties are proved. In particular, it is shown that a left Noetherian ring R with M4(R) left G-morphic or M2(R) left morphic is QF. Some known results of left morphic rings are extended to left G-morphic rings and left -morphic rings.
수학
null
kci_detailed_000040.xml
ART001073351
oai_dc
Local Moves and Gordian Complexes, II
Local Moves and Gordian Complexes, II
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yasutaka Nakanishi(Kobe University)" ]
By the works of Levine [2] and Rolfsen [5],[6], it is known that a local move called a crossing-change is strongly related to the Alexander invariant. In this note, we will consider to what degree the relationship is strong. Let K be a knot, and K× the set of knots obtained from a knot K by a singl crossing-change. Let MK be the Alexander invariant of a knot K, and MK the set of the Alexander invariants {MK}K2K for a set of knots K. Our main result is the following: If both K1 and K2 are knots with unknotting number one, then MK1 = MK2 implies MK×1 = MK×2 . On the other hand, there exists a pair of knots K1 and K2 such that MK1 = MK2 and MK×1 6= MK×2 . In other words, the Gordian complex is not homogeneous with respect to Alexander invariant
수학
null
kci_detailed_000040.xml
ART001073563
oai_dc
Fuzzy Subalgebras of Type (α, β) in BCK/BCI-Algebras
Fuzzy Subalgebras of Type (α, β) in BCK/BCI-Algebras
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "전영배(경상대학교)" ]
Using the belongs to relation (2) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of (, )-fuzzy subalgebras where and areany two of {2, q, 2 _q, 2 ^q} with 6=2 ^q was already introduced, and related properties were investigated (see [3]). In this paper, we give a condition for an (2,2_ q)- fuzzy subalgebra to be an (2,2)-fuzzy subalgebra. We provide characterizations of an (2,2_ q)-fuzzy subalgebra. We show that a proper(2,2)-fuzzy subalgebra A of X with additional conditions can be expressed as the union of two proper non-equivalent (2,2)- fuzzy subalgebras of X. We also prove that if A is a proper (2,2_ q)-fuzzy subalgebra of a CK/BCI-algebra X such that #{A (x) | A (x) < 0.5} 2, then there exist two proper non-equivalent (2,2_ q)-fuzzy subalgebras ofX such that A can be expressed as the unionof them.
수학
null
kci_detailed_000040.xml
ART001073350
oai_dc
Integrability and -convergence of Certain Cosine Sums
Integrability and -convergence of Certain Cosine Sums
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jatinderdeep Kaur(Thapar Institute of Engg. and Tech.); Satvinder Singh Bhatia(Thapar Institute of Engg. and Tech.)" ]
In this paper, we extend the result of Ram [3] and also study the L1-convergence of the rth derivative of cosine series.
수학
null
kci_detailed_000040.xml
ART001073357
oai_dc
Some Theorems on Generating Functions
Some Theorems on Generating Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Mahmood Ahmad Pathan(Aligarh Muslim University); Mohannad Jamal S. Shahwan(University of Bahrain)" ]
In this paper, we derive some generating relations involving Konhauser polynomials, Gauss, Humbert, Appell and Kamp´e de F´eriet hypergeometric functions with the help of four general theorems on generating functions (partly unilateral and partly bilateral) of one and two variables.
수학
null
kci_detailed_000040.xml
ART001073565
oai_dc
Entire Functions That Share One Value With Their Derivatives
Entire Functions That Share One Value With Their Derivatives
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Feng L(Shandong University); Junfeng Xu(Shandong University)" ]
In the paper, we use the theory of normal family to study the problem on entire function that share a finite non-zero value with their derivatives and prove a uniqueness theorem which improve the result of J.P. Wang and H.X. Yi.
수학
null
kci_detailed_000040.xml
ART001073564
oai_dc
On a Reverse Hardy-Hilbert's Inequality
On a Reverse Hardy-Hilbert's Inequality
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bicheng Yang(Guangdong Institute of Education)" ]
This paper deals with a reverse Hardy Hilbert’s inequality with a best constant factor by introducing two parameters and. We also consider the equivalent form and the analogue integral inequalities. Some particular results are given.
수학
null
kci_detailed_000040.xml
ART001073349
oai_dc
Three Characteristic Beltrami System in Even Dimensions (Ⅰ) : -Harmonic Equation
Three Characteristic Beltrami System in Even Dimensions (Ⅰ) : -Harmonic Equation
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Gao Hongya(Hebei University); Chu Yuming(Huzhou Normal College); Sun Lanxiang(Cangzhou Teacher's College)" ]
This paper deals with space Beltrami system with three characteristic ma-trices in even dimensions, which can be regarded as a generalization of space Beltramisystem with one and two characteristic matrices. It is transformed into a nonhomoge-neous p-harmonic equation dA(x,dfI ) = dB(x,Df) by using the technique of outerdierential forms and exterior algebra of matrices. In the process, we only use the uni-formly elliptic condition with respect to the characteristic matrices. The Lipschitz typecondition, the monotonicity condition and the homogeneous condition of the operatorAand the controlled growth condition of the operatorB are derived.
수학
null
kci_detailed_000040.xml
ART001073562
oai_dc
On Subclass of P-Valent Analytic Functions Defined by Integral Operators
On Subclass of P-Valent Analytic Functions Defined by Integral Operators
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Rasoul Aghalary(University of Urimia)" ]
Abstract. In the present paper we introduce the subclass S a,c(p,A,B) of analytic functions and then we investigate some interesting properties of functions belonging to this subclass. Our results generalize many results known in the literature and especially generalize some of the results obtained by Ling and Liu [5].
수학
null
kci_detailed_000040.xml
ART001073355
oai_dc
A Note on -Separative Modules
A Note on -Separative Modules
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Huanyin Chen(Zhejiang Normal University)" ]
A right R-module P is c-separative provided that P P c= P Q =) P = Q for any right R-module Q. We get, in this paper, two sufficient conditions under which a right module is c-separative. A ring R is a hereditary ring provided that every ideal of R is projective. As an application, we prove that every projective right R-module over a hereditary ring is c-separative.
수학
null
kci_detailed_000040.xml
ART001073566
oai_dc
Generalizations of Dixon's and Whipple's Theorems on the Sum of a
Generalizations of Dixon's and Whipple's Theorems on the Sum of a
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Junesang Choi(Dongguk University); Dungar College(Govt. P. G. College); Shaloo Malani(); Arjun K. Rathie()" ]
In this paper we consider generalizations of the classical Dixon’s theorem and the classical Whipple’s theorem on the sum of a 3F2. The results are derived with the help of generalized Watson’s theorem obtained earlier by Mitra. A large number of results contiguous to Dixon’s and Whipple’s theorems obtained earlier by Lavoie, Grondin and Rathie, and Lavoie, Grondin, Rathie and Arora follow special cases of our main findings.
수학
null
kci_detailed_000040.xml
ART001073354
oai_dc
Oscillation Criteria of Hyperbolic Equations with Continuous Deviating Arguments
Oscillation Criteria of Hyperbolic Equations with Continuous Deviating Arguments
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Zhongyue Han(Dezhou University); Yuanhong Yu(Chinese Academy of Sciences)" ]
In this paper, we shall consider a class of hyperbolic nonlinear differential equations with continuous deviating arguments. Some new sufficient conditions for oscillation of all solutions with two kinds of boundary conditions are obtained.
수학
null
kci_detailed_000040.xml
ART001073358
oai_dc
Vortex Filament Equation and Non-linear Schrdinger Equation
Vortex Filament Equation and Non-linear Schrdinger Equation
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Hongning Zhang(Beijing Jiaotong University); Faen Wu(Beijing Jiaotong University)" ]
In 1906, da Rios, a student of Leivi-Civita, wrote a master’s thesis modeling the motion of a vortex in a viscous fluid by the motion of a curve propagating in R3, in the direction of its binormal with a speed equal to its curvature. Much later, in 1971 Hasimoto showed the equivalence of this system with the non-linear Schr¨odinger equation (NLS qt = i(qss +12 |q|2q). In this paper, we use the same idea as Terng used in her lecture notes but different technique to extend the above relation to the case of S3, and obtained an analogous equation that qt = i[qss + (12 |q|2 + 1)q].
수학
null
kci_detailed_000040.xml
ART001210265
oai_dc
Factor Algebras of Signed Brauer's Algebras
Factor Algebras of Signed Brauer's Algebras
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Chelliah Selvaraj(Periyar University)" ]
In this paper we obtain a decomposition of certain factors of the signedBrauer algebra into a direct sum of simple algebras and we obtain the structure of thefactor algebra.
수학
null
kci_detailed_000040.xml
ART001210267
oai_dc
Classification of Ruld Surfaces with Non-degenerate Second Fundamental Forms in Lorenz-Minkowski 3-spaces
Classification of Ruld Surfaces with Non-degenerate Second Fundamental Forms in Lorenz-Minkowski 3-spaces
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Sunmi Jung(Kyungpook National University); Young Ho Kim(Kyungpook National University); 윤대원(경상대학교)" ]
In this paper, we study some properties of ruled surfaces in a three-dimensional Lorentz-Minkowski space related to their Gaussian curvature, the second Gaussian curvature and the mean curvature. Furthermore, we examine the ruled surfaces in a three- dimensional Lorentz-Minkowski space satisfying the Jacobi condition formed with those curvatures, which are called the II-W and the II-G ruled surfaces and give a classi&macr;cation of such ruled surfaces in a three-dimensional Lorentz-Minkowski space.
수학
null
kci_detailed_000040.xml
ART001210017
oai_dc
One-sided Prime Ideals in Semirings
One-sided Prime Ideals in Semirings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Muhammad Shabir(Quaid-I-Azam University); Muhammad Sohail Iqbal(Quaid-I-Azam University)" ]
In this paper we define prime right ideals of semirings and prove that if every right ideal of a semiring R is prime then R is weakly regular. We also prove that if the set of right ideals of R is totally ordered then every right ideal of R is prime if and only if R is right weakly regular. Moreover in this paper we also define prime subsemimodule (generalizing the concept of prime right ideals) of an R-semimodule. We prove that if a subsemimodule K of an R-semimodule M is prime then AK(M) is also a prime ideal of R.
수학
null
kci_detailed_000040.xml
ART001210268
oai_dc
Sagae-Tanabe Weighted Means and Reverse Inequalities
Sagae-Tanabe Weighted Means and Reverse Inequalities
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "안은경(경북대학교); 김세정(경북대학교); 이호수(경북대학교); 임영도(경북대학교)" ]
In this paper we consider weighted arithmetic and geometric means of several positive definite operators proposed by Sagae and Tanabe and we establish a reverse inequality of the arithmetic and geometric means via Specht ratio and the Thompson metric on the convex cone of positive definite operators.
수학
null
kci_detailed_000040.xml
ART001210264
oai_dc
A New Approach for the Derivation of a Discrete Approximation Formula on Uniform Grid for Harmonic Functions
A New Approach for the Derivation of a Discrete Approximation Formula on Uniform Grid for Harmonic Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Philsu Kim(Kyungpook National University); Hyun Jung Choi(Kyungpook National University); Soyoung Ahn(Kyungpook National University)" ]
The purpose of this article is to &macr;nd a relation between the &macr;nite di?erence method and the boundary element method, and propose a new approach deriving a discrete approximation formula as like that of the &macr;nite di?erence method for harmonic functions. We develop a discrete approximation formula on a uniform grid based on the boundary integral formulations. We consider three di?erent boundary integral formulations and derive one discrete approximation formula on the uniform grid for the harmonic function. We show that the proposed discrete approximation formula has the same computational molecules with that of the &macr;nite di?erence formula for the Laplace operator r2.
수학
null
kci_detailed_000040.xml
ART001210021
oai_dc
A Study of Modified H-transform and Fractional Integral Operator
A Study of Modified H-transform and Fractional Integral Operator
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Kantesh Gupta(Malviya National Institute of Technology)" ]
In this paper, we establish a theorem wherein we have obtained the image of modified H-transform under the fractional integral operator involving Foxs H-function. Three corollaries of this theorem have also been derived. Further, we obtain one interesting integral by the application of the third corollary. The importance of above findings lies in the fact that our main theorem involves Fox H-function which is very general in nature. The result obtained earlier by Tariq (1998) is a special case of our main findings.
수학
null
kci_detailed_000040.xml
ART001210269
oai_dc
A discrete model of brucellosis happened in Korean Iivestock farms
A discrete model of brucellosis happened in Korean Iivestock farms
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "박준표(Kyungpook National University); Byul Nim Kim()" ]
In this paper we introduce a discrete model of brucellosis happened in Korean livestock farms and numerically analyze its dynamical features. To do it, we consider parameters data supported by Livestock Cooperatives. To control brucellosis, we investigate the relationship among key parameters, as applications of our model. We hope that our model may be used to reduce brucellosis in Korean livestock farms.
수학
null
kci_detailed_000040.xml
ART001210018
oai_dc
The Cauchy Representation of Integrable and Tempered Boehmians
The Cauchy Representation of Integrable and Tempered Boehmians
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Deshna Loonker(JNV University); Pradeep Kumar Banerji()" ]
This paper deals with, by employing the relation between Cauchy representation and the Fourier transform and properties of the former in L1-space, the investigation of the Cauchy representation of integrable Boehmians as a natural extension of tempered distributions, we have investigated Cauchy representation of tempered Boehmians. An inversion formula is also proved.
수학
null
kci_detailed_000040.xml
ART001210019
oai_dc
Fractional Derivative Associated with the Multivariable Polynomials
Fractional Derivative Associated with the Multivariable Polynomials
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Vinod Bihari Lal Chaurasia(University of Rajasthan); Ashok Singh Shekhawat()" ]
The aim of this paper is to derive a fractional derivative of the multivariable H-function of Srivastava and Panda [7], associated with a general class of multivariable polynomials of Srivastava [4] and the generalized Lauricella functions of Srivastava and Daoust [9]. Certain special cases have also been discussed. The results derived here are of a very general nature and hence encompass several cases of interest hitherto scattered in the literature.
수학
null
kci_detailed_000040.xml
ART001210020
oai_dc
Multiple Weakly Summing Multilinear Mappings and Polynomials
Multiple Weakly Summing Multilinear Mappings and Polynomials
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Sung Guen Kim(Kyungpook National University)" ]
In this paper, we introduce and study a new class containing absolutely summing multilinear mappings and polynomials, which we call multiple weakly summing multilinear mappings and polynomials. We investigate some interesting properties about multiple weakly (p; q1, · · · , qk)-summing multilinear mappings and polynomials defined on Banach spaces: In particular, we prove a kind of Dvoretzky-Rogers’ Theorem and an ideal property for multiple weakly (p; q1, · · · , qk)-summing multilinear mappings and polynomials. We also prove that the Aron-Berner extensions of multiple weakly (p; q1, · · · , qk)- summing multilinear mappings and polynomials are also multiple weakly (p; q1, · · · , qk)- summing.
수학
null
kci_detailed_000040.xml
ART001210016
oai_dc
Large Hydromagnetic Axisymmetric Instability of a Streaming Gas Cylinder Surrounded by Bounded Fluid with Non Uniform Field
Large Hydromagnetic Axisymmetric Instability of a Streaming Gas Cylinder Surrounded by Bounded Fluid with Non Uniform Field
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "A. E. Radwan(Ain Shams University); N. E. Elazab(Cairo University); M. A. Elogail(Ain Shams University)" ]
The magnetohydrodynamic axisymmetric instability of a streaming gas jet surrounded by bounded °uid with non-uniform &macr;eld has been developed. The problem is formulated, solved and the boundary conditions are applied across the interfaces. The eigenvalue relation is derived and discussed analytically and the results are con&macr;rmed numerically. Some reported works are recovered as limiting cases from the present general results. The streaming has a destabilizing e?ect for all short and long wavelengths. The capillary force is stabilizing for short wavelengths but it is destabilizing for long wave- lengths. The axial magnetic &macr;elds interior the gas and °uid media are stabilizing. The transverse &macr;eld is destabilizing for all wavelengths. The radii ratio of the gas and °uid cylinders plays an important role for stabilizing the model and made it more realistic one than the full liquid jet or/and the ordinary hollow jet. The numerical analysis clarify the stable and unstable domains based on di?erent values of the various parameters of the problem.
수학
null
kci_detailed_000040.xml
ART001210266
oai_dc
Prior Estimates and Solutions of Boundary Value Problems for Higher-order Nonlinear Finite Difference Equations
Prior Estimates and Solutions of Boundary Value Problems for Higher-order Nonlinear Finite Difference Equations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yuji Liu(Guangdong Universiry of Business Studies)" ]
Sufficient conditions for the existence of at least one solution of boundary value problems for higher order nonlinear difference equations are established. We allow f to be at most linear, superlinear or sublinear in obtained results.
수학
null
kci_detailed_000040.xml
ART001030086
oai_dc
Nonlinear Functional Boundary Value Problems in Banach Algebras Involving Carathodories
Nonlinear Functional Boundary Value Problems in Banach Algebras Involving Carathodories
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bapurao C. Dhage(Gurukul Colony)" ]
In this paper, an existence theorem for a nonlinear two point boundary value problem of second order dierential equations in Banach algebras is proved using a nonlinear alternative based on Leray-Schauder alternative.
수학
null
kci_detailed_000040.xml
ART001099693
oai_dc
The First Four Terms of Kauffman's Link Polynomial
The First Four Terms of Kauffman's Link Polynomial
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Taizo Kanenobu(Osaka City University)" ]
We give formulas for the first four coe±cient polynomials of the Kauman’s link polynomial involving linking numbers and the coe±cient polynomials of the Kau- man polynomials of the one- and two-component sublinks. We use mainly the Dubrovnik polynomial, a version of the Kauman polynomial.
수학
null
kci_detailed_000040.xml
ART001099748
oai_dc
On Certain Novel Subclasses of Analytic and Univalent Functions
On Certain Novel Subclasses of Analytic and Univalent Functions
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Huseyin Irmak(Ba¸skent University); Santosh Bhaurao Joshi(Walchand College of Engineering); Ravinder Krishen Raina(M. P. University)" ]
The purpose of the present paper is to introduce two novel subclassesT (n;;) and H (n;;;) of analytic and univalent functions with negative coe-cients, involving Ruscheweyh derivative operator. The various results investigated in thispaper include coecient estimates, distortion inequalities, radii of close-to-convexity, star-likenes, and convexity for the functions belonging to the classT (n;;):These resultsare then appropriately applied to derive similar geometrical properties for the other classH (n;;;) of analytic and univalent functions. Relevant connections of these resultswith those in several earlier investigations are briey indicated.
수학
null
kci_detailed_000040.xml
ART001030237
oai_dc
Factor Rank and Its Preservers of Integer Matrices
Factor Rank and Its Preservers of Integer Matrices
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Seok- Zun Song(Cheju National University); 강경태(Cheju National University)" ]
We characterize the linear operators which preserve the factor rank of integer matrices. That is, if M is the set of all m &pound; n matrices with entries in the integers and min(m; n) > 1, then a linear operator T on M preserves the factor rank of all matrices in M if and only if T has the form either T(X) = UXV for all X 2 M, or m = n and T(X) = UXtV for all X 2M, where U and V are suitable nonsingular integer matrices. Other characterizations of factor rank-preservers of integer matrices are also given.
수학
null
kci_detailed_000040.xml
ART001099691
oai_dc
Asymptotic Results for a Class of Fourth Order Quasilinear Difference Equations
Asymptotic Results for a Class of Fourth Order Quasilinear Difference Equations
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ethiraju Thandapani(Peryiar University); Subbiah Pandian(Presidency College); Rajamannar Dhanasekaran(Dr. Ambedkar Government Arts college)" ]
In this paper, the authors rst classify all nonoscillatory solutions of equation(1) 2 j2yn j12yn+ qn jy (n )j1y (n ) = 0 ; n2 Ninto six disjoint classes according to their asymptotic behavior, and then they obtainnecessary and sucient conditions for the existence of solutions in these classes. Examplesare inserted to illustrate the results
수학
null
kci_detailed_000040.xml
ART001030883
oai_dc
Two More Radicals for Right Near-rings: The Right Jacobson Radicals of Type-1 and 2
Two More Radicals for Right Near-rings: The Right Jacobson Radicals of Type-1 and 2
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ravi Srinivasa Rao(P. G. Centre); K. Siva Prasad(J. K. C. College)" ]
Near-rings considered are right near-rings and R is a near-ring. Jr 0 (R), the right Jacobson radical of R of type-0, was introduced and studied by the present authors. In this paper Jr 1 (R) and Jr 2 (R), the right Jacobson radicals of R of type-1 and type-2 are introduced. It is proved that both Jr 1 and Jr 2 are radicals for near-rings and Jr 0 (R) &micro; Jr 1 (R) &micro; Jr 2 (R). Unlike the left Jacobson radical classes, the right Jacobson radical class of type-2 contains M0(G) for many of the finite groups G. Depending on the structure of G, M0(G) belongs to dierent right Jacobson radical classes of near-rings. Also unlike left Jacobson-type radicals, the constant part of R is contained in every right 1-modular (2-modular) right ideal of R. For any family of near-rings Ri, i 2 I, Jr º (&copy;i2IRi) = &copy;i2IJr º (Ri), º 2 f1; 2g. Moreover, under certain conditions, for an invariant subnear-ring S of a d.g. near-ring R it is shown that Jr(S) = S Jr(R).
수학
null
kci_detailed_000040.xml
ART001099694
oai_dc
Generalized Weyl's Theorem for Some Classes of Operators
Generalized Weyl's Theorem for Some Classes of Operators
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Salah Mecheri(King Saud University)" ]
Let A be a bounded linear operator acting on a Hilbert space H. The B-Weyl spectrum of A is the set ¾Bw(A) of all ¸ 2 C such that A¡¸I is not a B-Fredholm operator of index 0. Let E(A) be the set of all isolated eigenvalues of A. Recently in [6] Berkani showed that if A is a hyponormal operator, then A satisfies generalized Weyl’s theorem ¾Bw(A) = ¾(A) n E(A), and the B-Weyl spectrum ¾Bw(A) of A satisfies the spectral mapping theorem. In [51], H. Weyl proved that weyl’s theorem holds for hermitian operators. Weyl’s theorem has been extended from hermitian operators to hyponormal and Toeplitz operators [12], and to several classes of operators including semi-normal operators ([9], [10]). Recently W. Y. Lee [35] showed that Weyl’s theorem holds for algebraically hyponormal operators. R. Curto and Y. M. Han [14] have extended Lee’s results to algebraically paranormal operators. In [19] the authors showed that Weyl’s theorem holds for algebraically p-hyponormal operators. As Berkani has shown in [5], if the generalized Weyl’s theorem holds for A, then so does Weyl’s theorem. In this paper all the above results are generalized by proving that generalizedWeyl’s theorem holds for the case where A is an algebraically (p; k)-quasihyponormal or an algebarically paranormal operator which includes all the above mentioned operators.
수학
null
kci_detailed_000040.xml
ART001099692
oai_dc
Characterization of Function Rings Between C*(X) and C(X)
Characterization of Function Rings Between C*(X) and C(X)
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Dibyendu De(Krishnagar Women's College); Sudip Kumar Acharyya()" ]
Let X be a Tychono space and P(X) the set of all the subrings of C(X) that contain C¤(X). For any A(X) in P(X) suppose &Agrave;AX is the largest subspace of &macr;X containing X to which each function in A(X) can be extended continuously. Let us write A(X) &raquo; B(X) if and only if &Agrave;AX = &Agrave;BX, thereby defining an equivalence relation on P(X). We have shown that an A(X) in P(X) is isomorphic to C(Y ) for some space Y if and only if A(X) is the largest member of its equivalence class if and only if there exists a subspace T of &macr;X with the property that A(X) = ff 2 C(X) : f¤(p) is real for each p in Tg, f¤ being the unique continuous extension of f in C(X) from &macr;X to R¤, the one point compactification of R. As a consequence it follows that if X is a realcompact space in which every C¤-embedded subset is closed, then C(X) is never isomorphic to any A(X) in P(X) without being equal to it.
수학
null
kci_detailed_000040.xml
ART001030087
oai_dc
Oscillations of Difference Equations with Several Terms
Oscillations of Difference Equations with Several Terms
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Ozkan Ocalan(Afyon Kocatepe University)" ]
In this paper, we obtain su±cient conditions for the oscillation of every solution of the dierence equation xn+1 ¡ xn + i=1 pixn¡ki + qxn¡z = 0; n = 0; 1; 2; &cent; &cent; &cent; ; where pi 2 R, ki 2 Z for i = 1; 2; &cent; &cent; &cent; ;m and z 2 f¡1; 0g: Furthermore, we obtain su±cient conditions for the oscillation of all solutions of the equation &cent;rxn + i=1 pixn¡ki = 0 ; n = 0; 1; 2; &cent; &cent; &cent; ; where pi 2 R, ki 2 Z for i = 1; 2; &cent; &cent; &cent; ; m: The results are given terms of the pi and the ki for each i = 1; 2; &cent; &cent; &cent; ; m:
수학
null
kci_detailed_000040.xml
ART001030084
oai_dc
A Non-uniform Bound on Matching Problem
A Non-uniform Bound on Matching Problem
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Kaint Teerapabolarn(Burapha University); Kritsana Neammanee(Chulalongkorn University)" ]
The aim of this paper is to use the Stein-Chen method to obtain a non-uniformbound on Poisson approximation in matching problem.
수학
null
kci_detailed_000040.xml
ART001030085
oai_dc
An Asymmetric Fuglede-Putnam's Theorem and Orthogonality
An Asymmetric Fuglede-Putnam's Theorem and Orthogonality
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bachir Ahmed(King Khaled University); Abdelkder Segres()" ]
An asymmetric Fuglede-Putnam theorem forp-hyponormal operators andclass (Y) is proved, as a consequence of this result, we obtain that the range of the gener-alized derivation induced by the above classes of operators is orthogonal to its kernel.
수학
null
kci_detailed_000040.xml
ART001099642
oai_dc
Structure Eigenvectors of the Ricci Tensor in a Real Hypersurface of a Complex Projective Space
Structure Eigenvectors of the Ricci Tensor in a Real Hypersurface of a Complex Projective Space
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Chunji Li(Northeastern University); U-Hang Ki(Kyungpook National University)" ]
It is known that there are no real hypersurfaces with parallel Ricci tensor ina nonat complex space form ([6], [9]). In this paper we investigate real hypersurfacesin a complex projective space Pn C using some conditions of the Ricci tensorS which areweaker than r S = 0 :We characterize Hopf hypersurfaces ofPn C.
수학
null
kci_detailed_000040.xml
ART001099695
oai_dc
Explicit Formulas of the Generalized Inverse and Its Applications
Explicit Formulas of the Generalized Inverse and Its Applications
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Bin Deng(East China Normal University); Guo-Liang Chen(East China Normal University)" ]
In this paper, we present the explicit formula of the generalized inverse A(2) T;S, and we apply this result to solve restricted linear equation Ax + y = b; x 2 T; y 2 S and Ax + By = b; x 2 T; y 2 S.
수학
null
kci_detailed_000040.xml
ART001099696
oai_dc
New Lacunary Strong Convergence Difference Sequence Spaces Defined by Sequence of Moduli
New Lacunary Strong Convergence Difference Sequence Spaces Defined by Sequence of Moduli
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Vakeel A.Khan(A. M. U. Aligarh); Q. M. Danish Lohani(A. M. U. Aligarh)" ]
In this paper, we define 4m-Lacunary strongly convergent sequences defined by sequence of moduli and give various properties and inclusion relations on these sequence spaces.
수학
null
kci_detailed_000040.xml
ART001099697
oai_dc
On Idempotent Reflexive Rings
On Idempotent Reflexive Rings
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Jin Yong Kim(Kyung Hee University); Jong Uk Baik(Kyung Hee University)" ]
We introduce in this paper the concept of idempotent reflexive right ideals and concern with rings containing an injective maximal right ideal. Some known results for reflexive rings and right HI-rings can be extended to idempotent reflexive rings. As applications, we are able to give a new characterization of regular right self-injective rings with nonzero socle and extend a known result for right weakly regular rings.
수학
null
kci_detailed_000040.xml
ART001185306
oai_dc
On a Generalization of Closed Sets
On a Generalization of Closed Sets
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Miguel Caldas(Universidade Federal Fluminense); Maximilian Ganster(Graz University of Technology); Dimitrios N. Georgiou(University of Patras); Saeid Jafari(Roskilde University); Valeriu Popa(Bacau University)" ]
It is the objective of this paper to study further the notion of Λs-semi-θ-closed sets which is dened as the intersection of a θ-Λs-set and a semi-θ-closed set. Moreover, we introduce some low separation axioms using the above notions. Also we present and study the notions of Λs-continuous functions, Λs-compact spaces and Λs-connected spaces.
수학
null
kci_detailed_000040.xml
ART001063605
oai_dc
Oscillation of Certain Second Order Damped Quasilinear Elliptic Equations via the Weighted Averages
Oscillation of Certain Second Order Damped Quasilinear Elliptic Equations via the Weighted Averages
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Yong Xia(Dongguan Institute of Technology); Zhiting Xu(South China Normal University)" ]
By using the weighted averaging techniques, we establish oscillation criteriafor the second order damped quasilinear elliptic dierential equationN.i,j =1Di(aij (x).Dy.p2Dj y) + .b(x),.Dy.p2Dy .+ c(x)f(y) = 0 , p > 1.The obtained theorems include and improve some existing ones for the undamped halflinear partial differential equation and the semilinear elliptic equation.
수학
null
kci_detailed_000040.xml
ART001063609
oai_dc
Minimization Method for Solving a Quadratic Matrix Equation
Minimization Method for Solving a Quadratic Matrix Equation
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "김현민(부산대학교)" ]
We show how the minimization can be used to solve the quadratic matrix equation and then compare two different types of conjugate gradient method which are Polak and Ribiere version and Fletcher and Reeves version. Finally,some results of the global and local convergence are shown.
수학
null
kci_detailed_000040.xml
ART001063614
oai_dc
The Seifert Matrices of Periodic Links with Rational Quotients
The Seifert Matrices of Periodic Links with Rational Quotients
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "이상율(부산대학교); Maeng-Sang Park(Pusan National University); 서명수(Pusan National University)" ]
In this paper, we characterize the Seifert matrices of p-periodic links whose quotients are 2-bridge linksC(2,n1,2,n2,· ,nr,(2)r) and give formulas for the sig-natures and determinants of the 3-periodic links of these kind in terms ofn1,n2,· ,nr.
수학
null
kci_detailed_000040.xml
ART001063603
oai_dc
The Basis Number of the Cartesian Product of a Path with a Circular Ladder, a Mobius Ladder and a Net
The Basis Number of the Cartesian Product of a Path with a Circular Ladder, a Mobius Ladder and a Net
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Maref Y. Alzoubi(Yarmouk University); Mohammed M. M. Jaradat(Yarmouk University)" ]
The basis number of a graph G is the least positive integerk such that Ghas a k-fold basis. In this paper, we prove that the basis number of the cartesian productof a path with a circular ladder, a Mobius ladder and path with a net is exactly 3. This improves the upper bound of the basis number of these graphs for a general theorem on the cartesian product of graphs obtained by Ali and Marougi, see [2]. Also, by this general result, the cartesian product of a theta graph with a Mobius ladder is at most 5. But insection 3 we prove that it is at most 4.
수학
null
kci_detailed_000040.xml
ART001063612
oai_dc
Commuting Pair Preservers of Matrices
Commuting Pair Preservers of Matrices
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Seok-Zun Song(Cheju National University); Jin-Young Oh(Cheju National University)" ]
There are many papers on linear operators that preserve commuting pairs of matrices over elds or semirings. From these research works, we have a motivation to theresearch on the linear operators that preserve commuting pairs of matrices over nonneg-ative integers. We characterize the surjective linear operators that preserve commuting pairs of matrices over nonnegative integers.
수학
null
kci_detailed_000040.xml
ART001063611
oai_dc
Injective JW-algebras
Injective JW-algebras
{ "journal_name": "경북대학교 자연과학대학 수학과", "publisher": null, "pub_year": null, "pub_month": null, "volume": null, "issue": null }
[ "Fatmah Backer Jamjoom(King Saud University)" ]
Injective JW-algebras are dened and are characterized by the existence of projections of norm 1 onto them. The relationship between the injectivity of a JW-algebra and the injectivity of its universal enveloping von Neumann algebra is established. The Jordan analgue of Theorem 3 of [3] is proved, that is, a JC-algebra A is nuclear if and only if its econd dual A is injective.
수학
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kci_detailed_000040.xml