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Kyungpook mathematical journal
Journal Basic Information
pISSN :
1225-6951
eISSN :
0454-8124
Journal DOI :
10.5666/KMJ
Frequency :
Others
Publisher:
Department of Mathematics, Kyungpook National University
Editor in Chief :
Sang-Dong Kim
Volume & Issues
Volume 56, Issue 2 - Jun 2016
Volume 56, Issue 1 - Mar 2016
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1
Ternary Distributive Structures and Quandles
Elhamdadi, Mohamed ; Green, Matthew ; Makhlouf, Abdenacer ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 1~27
DOI : 10.5666/KMJ.2016.56.1.1
Abstract
We introduce a notion of ternary distributive algebraic structure, give examples, and relate it to the notion of a quandle. Classification is given for low order structures of this type. Constructions of such structures from 3-Lie algebras are provided. We also describe ternary distributive algebraic structures coming from groups and give examples from vector spaces whose bases are elements of a finite ternary distributive set. We introduce a cohomology theory that is analogous to Hochschild cohomology and relate it to a formal deformation theory of these structures.
2
Forced Oscillation Criteria for Nonlinear Hyperbolic Equations via Riccati Method
Shoukaku, Yutaka ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 29~40
DOI : 10.5666/KMJ.2016.56.1.29
Abstract
In this paper, we consider the nonlinear hyperbolic equations with forcing term. Some suffcient conditions for the oscillation are derived by using integral averaging method and a generalized Riccati technique.
3
On Prime Cordial Labeling of Graphs
Aljouiee, Abdullah ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 41~46
DOI : 10.5666/KMJ.2016.56.1.41
Abstract
A graph G of order n has prime cordial labeling if its vertices can be assigned the distinct labels 1,
, n such that if each edge xy in G is assigned the label 1 in case the labels of x and y are relatively prime and 0 otherwise, then the number of edges labeled with 0 and the number of edges labeled with 1 differ by at most 1. In this paper, we give a complete characterization of complete graphs which are prime cordial and we give a prime cordial labeling of the closed helm
, and present a new way of prime cordial labeling of
. Finally we make a correction of the proof of Theorem 2.5 in [12].
4
Dynamical Behaviors of a Discrete Predator-Prey System with Beddington-DeAngelis Functional Response
Choi, Yoon-Ho ; Baek, Hunki ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 47~55
DOI : 10.5666/KMJ.2016.56.1.47
Abstract
In this paper, we consider a discrete predator-prey system obtained from a continuous Beddington-DeAngelis type predator-prey system by using the method in [9]. In order to investigate dynamical behaviors of this discrete system, we find out all equilibrium points of the system and study their stability by using eigenvalues of a Jacobian matrix for each equilibrium points. In addition, we illustrate some numerical examples in order to substantiate theoretical results.
5
On Approximation by Matrix Means of the Multiple Fourier Series in the Hölder Metric
Deger, Ugur ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 57~68
DOI : 10.5666/KMJ.2016.56.1.57
Abstract
In this work, we shall give the degree of approximation for functions belonging to
class by matrix summability method of multiple Fourier series in the
metric.
6
The k-Rainbow Domination and Domatic Numbers of Digraphs
Sheikholeslami, S.M. ; Volkmann, Lutz ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 69~81
DOI : 10.5666/KMJ.2016.56.1.69
Abstract
For a positive integer k, a k-rainbow dominating function of a digraph D is a function f from the vertex set V (D) to the set of all subsets of the set
such that for any vertex
with
the condition
is fulfilled, where
is the set of in-neighbors of v. A set
of k-rainbow dominating functions on D with the property that
for each
, is called a k-rainbow dominating family (of functions) on D. The maximum number of functions in a k-rainbow dominating family on D is the k-rainbow domatic number of D, denoted by
. In this paper we initiate the study of the k-rainbow domatic number in digraphs, and we present some bounds for
.
7
Semi M-Projective and Semi N-Injective Modules
Hakmi, Hamza ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 83~94
DOI : 10.5666/KMJ.2016.56.1.83
Abstract
Let M and N be modules over a ring R. The purpose of this paper is to study modules M, N for which the bi-module [M, N] is regular or pi. It is proved that the bi-module [M, N] is regular if and only if a module N is semi M-projective and
for all
, if and only if a module M is semi N-injective and
for all
. Also, it is proved that the bi-module [M, N] is pi if and only if a module N is direct M-projective and for any
there exists
such that
, if and only if a module M is direct N-injective and for any
there exists
such that
. The relationship between the Jacobson radical and the (co)singular ideal of [M, N] is described.
8
Structures of Pseudo Ideal and Pseudo Atom in a Pseudo Q-Algebra
Jun, Young Bae ; Kim, Hee Sik ; Ahn, Sun Shin ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 95~106
DOI : 10.5666/KMJ.2016.56.1.95
Abstract
As a generalization of Q-algebra, the notion of pseudo Q-algebra is introduced, and some of their properties are investigated. The notions of pseudo subalgebra, pseudo ideal, and pseudo atom in a pseudo Q-algebra are introduced. Characterizations of their properties are provided.
9
On 2-Absorbing and Weakly 2-Absorbing Primary Ideals of a Commutative Semiring
Soheilnia, Fatemeh ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 107~120
DOI : 10.5666/KMJ.2016.56.1.107
Abstract
Let R be a commutative semiring. The purpose of this note is to investigate the concept of 2-absorbing (resp., weakly 2-absorbing) primary ideals generalizing of 2-absorbing (resp., weakly 2-absorbing) ideals of semirings. A proper ideal I of R said to be a 2-absorbing (resp., weakly 2-absorbing) primary ideal if whenever
such that
(resp.,
), then either
or
or
. Moreover, when I is a Q-ideal and P is a k-ideal of R/I with
, it is shown that if P is a 2-absorbing (resp., weakly 2-absorbing) primary ideal of R, then P/I is a 2-absorbing (resp., weakly 2-absorbing) primary ideal of R/I and it is also proved that if I and P/I are weakly 2-absorbing primary ideals, then P is a weakly 2-absorbing primary ideal of R.
10
On a Problem Posed by Belcastro and Sherman
Dutta, Jutirekha ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 121~123
DOI : 10.5666/KMJ.2016.56.1.121
Abstract
In this paper, we compute the number of distinct centralizers and commutativity degree of a class of finite groups. These computations produce a further class of examples of groups answering one question raised by Belcastro and Sherman and another one raised by Lescot.
11
A Difference of Two Composition Operators on L
^{2}
and H
^{2}
Nakazi, Takahiko ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 125~130
DOI : 10.5666/KMJ.2016.56.1.125
Abstract
A finite rank difference of two composition operators is studied on a Hilbert Lebesgue space or a Hilbert Hardy space.
12
Integral Formulas Involving a Product of Generalized Bessel Functions of the First Kind
Choi, Junesang ; Kumar, Dinesh ; Purohit, Sunil Dutt ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 131~136
DOI : 10.5666/KMJ.2016.56.1.131
Abstract
The main object of this paper is to present two general integral formulas whose integrands are the integrand given in the integral formula (3) and a finite product of the generalized Bessel function of the first kind.
13
Oscillation Results for Second Order Nonlinear Differential Equation with Delay and Advanced Arguments
Thandapani, Ethiraju ; Selvarangam, Srinivasan ; Vijaya, Murugesan ; Rama, Renu ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 137~146
DOI : 10.5666/KMJ.2016.56.1.137
Abstract
In this paper we study the oscillation criteria for the second order nonlinear differential equation with delay and advanced arguments of the form
where
,
,
and
are nonnegative constants and
,
and
are the ratios of odd positive integers. Examples are provided to illustrate the main results.
14
Some Properties for Certain Subclasses of Starlike Functions Defined by Convolution
EL-Ashwah, R.M. ; Abdulkarem, F.M. ; Aouf, M.K. ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 147~159
DOI : 10.5666/KMJ.2016.56.1.147
Abstract
In this paper, we obtained some properties for subclasses of starlike functions defined by convolution such as partial sums, integral means, square root and integral transform for these classes.
15
New Generalizations of Ostrowski-Like Type Inequalities for Fractional Integrals
Yildiz, Cetin ; Ozdemir, Muhamet Emin ; Sarikaya, Mehmet Zeki ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 161~172
DOI : 10.5666/KMJ.2016.56.1.161
Abstract
In this paper, we use the Riemann-Liouville fractional integrals to establish several new inequalities for some differantiable mappings that are connected with the celebrated Ostrowski type integral inequality.
16
A Note on Continued Fractions and Mock Theta Functions
Srivastava, Pankaj ; Gupta, Priya ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 173~184
DOI : 10.5666/KMJ.2016.56.1.173
Abstract
Mock theta functions are the most interesting topic mentioned in Ramanujan's Lost Notebook, due to its emerging application in the field of Number theory, Quantum invariants theory and etc. In the present research articles we have made an attempt to develop continued fractions representation of all the existing Mock theta functions.
17
L
^{p}
-Boundedness for the Littlewood-Paley g-Function Connected with the Riemann-Liouville Operator
Rachdi, Lakhdar Tannech ; Amri, Besma ; Chettaoui, Chirine ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 185~220
DOI : 10.5666/KMJ.2016.56.1.185
Abstract
We study the Gauss and Poisson semigroups connected with the Riemann-Liouville operator defined on the half plane. Next, we establish a principle of maximum for the singular partial differential operator
. Later, we define the Littlewood-Paley g-function and using the principle of maximum, we prove that for every
, there exists a positive constant
such that for every
,
.
18
Approximating Coupled Solutions of Coupled PBVPs of Non-linear First Order Ordinary Differential Equations
Dhage, Bapurao Chandrabhan ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 221~233
DOI : 10.5666/KMJ.2016.56.1.221
Abstract
The present paper proposes a new monotone iteration method for existence as well as approximation of the coupled solutions for a coupled periodic boundary value problem of first order ordinary nonlinear differential equations. A new hybrid coupled fixed point theorem involving the Dhage iteration principle is proved in a partially ordered normed linear space and applied to the coupled periodic boundary value problems for proving the main existence and approximation results of this paper. An algorithm for the coupled solutions is developed and it is shown that the sequences of successive approximations defined in a certain way converge monotonically to the coupled solutions of the related differential equations under some suitable mixed hybrid conditions. A numerical example is also indicated to illustrate the abstract theory developed in the paper.
19
Suffciency Conditions for Hypergeometric Functions to be in a Subclasses of Analytic Functions
Aouf, Mohamed Kamal ; Mostafa, Adela Osman ; Zayed, Hanaa Mousa ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 235~248
DOI : 10.5666/KMJ.2016.56.1.235
Abstract
The purpose of this paper is to introduce sufficient conditions for (Gaussian) hypergeometric functions to be in various subclasses of analytic functions. Also, we investigate several mapping properties involving these subclasses.
20
Quantum Super Theta Vectors and Theta Functions
Kim, Hoil ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 249~256
DOI : 10.5666/KMJ.2016.56.1.249
Abstract
There are many concepts around classical theta functions, theta vectors and quantum theta functions. Manin clarified the relation among these concepts with the symmetry of functional equations. We extend his results to the super torus.
21
Invariant Trace Fields of Chain Links
Ryou, Kazuhiro ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 257~271
DOI : 10.5666/KMJ.2016.56.1.257
Abstract
In this paper, we compute the trace field of C(2, s), the complement of two component chain link with s left half twists in
, for every s. As a result, for every
, we can find
such that the degree of the trace field of C(2, s) is n. We also prove that if for fixed p, the degree of the trace field of C(p, s) runs over
, then p is contained in {1, 2, 4, 8}.
22
Biharmonic Hypersurfaces with Constant Scalar Curvature in E
^{5}
_{s}
Deepika, Deepika ; Gupta, Ram Shankar ; Sharfuddin, A. ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 273~293
DOI : 10.5666/KMJ.2016.56.1.273
Abstract
In this paper, we obtain that every biharmonic non-degenerate hypersurfaces in semi-Euclidean space
with constant scalar curvature of diagonal shape operator has zero mean curvature.
23
Polarized Super Torus
Kim, Hoil ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 295~300
DOI : 10.5666/KMJ.2016.56.1.295
Abstract
For the complex torus, there is the Riemann condition on the polarization for it to be an abelian variety. We extend this condition on the super torus for super abelian variety.
24
On Paraopen Sets and Maps in Topological Spaces
Ittanagi, Basavaraj M. ; Benchalli, Shivanagappa S. ;
Kyungpook mathematical journal, volume 56, issue 1, 2016, Pages 301~310
DOI : 10.5666/KMJ.2016.56.1.301
Abstract
In this paper, we introduce and study the concept of a new class of sets called paraopen sets and paraclosed sets in topological spaces. During this process some of their properties are obtained. Also we introduce and investigate a new class of maps called paracontinuous, *-paracontinuous, parairresolute, minimal paracontinuous and maximal paracontinuous maps and study their basic properties in topological spaces.