Kyungpook Mathematical Journal
Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
0454-8124(eISSN)
This journal endeavours to publish research of broad interests in pure and applied mathematics. Each year one volume is published, consisting of four issues (March, June, September, December).
KSCI KCI
Volume 32 Issue 3_spc
Volume 9 Issue 1_2
Subordination and Superordination for Multivalent Functions associated with the Differintegral Operator
Kwon, Oh Sang;Cho, Nak Eun 1
https://doi.org/10.5666/KMJ.2013.53.1.1 PDF KSCI
The purpose of the present paper is to obtain some subordination- and superordination-preserving properties for multivalent function associated the differintegral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich type theorem for the integral operator is also considered.
Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions
Orhan, Halit;Yagmur, Nihat;Caglar, Murat 13
https://doi.org/10.5666/KMJ.2013.53.1.13 PDF KSCI
In this present work, the authors obtain Fekete-Szeg$\ddot{o}$ inequality for certain normalized analytic function $f(z)$ defined on the open unit disk for which $$\frac{{\lambda}{\beta}z^3(L(a,c)f(z))^{{\prime}{\prime}{\prime}}+(2{\lambda}{\beta}+{\lambda}-{\beta})z^2(L(a,c)f(z))^{{\prime}{\prime}}+z(L(a,c)f(z))^{{\prime}}}{{\lambda}{\beta}z^2(L(a,c)f(z))^{{\prime}{\prime}}+({\lambda}-{\beta})z(L(a,c)f(z))^{\prime}+(1-{\lambda}+{\beta})(L(a,c)f(z))}\;(0{\leq}{\beta}{\leq}{\lambda}{\leq}1)$$ lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szeg$\ddot{o}$ inequality for a class of functions defined through fractional derivatives are obtained.
Module-theoretic Characterizations of Strongly t-linked Extensions
Kim, Hwankoo;Kwon, Tae In 25
In this paper, we introduce and study the concept of "strongly $t$-linked extensions", which is a stronger version of $t$-linked extensions of integral domains. We show that for an extension of Pr$\ddot{u}$fer $v$-multiplication domains, this concept is equivalent to that of "$w$-faithfully flat".
Characterizations of Several Modules Relative to the Class of B(M, X)
Talebi, Yahya;Hosseinpour, Mehrab 37
Let M and X be right R-modules. We introduce several modules relative to the class of B(M, X) and we investigate relation among these modules. In this note, we show if M is X-${\oplus}$-supplemented such that $M=M_1{\oplus}M_2$ implies $M_1$ and $M_2$ are relatively B-projective, then M is an X-H-supplemented module.
A Note on Maass-Jacobi Forms II
Yang, Jae-Hyun 49
This article is a continuation of the paper [21]. In this paper we deal with Maass-Jacobi forms on the Siegel-Jacobi space $\mathbb{H}{\times}\mathbb{C}^m$, where H denotes the Poincar$\acute{e}$ upper half plane and $m$ is any positive integer.
Existence Results for the Nonlinear First Order Fuzzy Neutral Integrodifferential Equations
Radhakrishnan, Bheeman;Nagarajan, Murugesan;Narayanamoorthy, Samayan 87
In this paper, we devoted to study the existence and uniqueness of nonlinear fuzzy neutral integrodifferential equations. Moreover we study the fuzzy solution for the normal, convex, upper semicontinuous, and compactly supported interval fuzzy number. The results are obtained by using the Banach fixed-point theorem. An example is provided to illustrate the theory.
Some Characterizations of Parabolas
Kim, Dong-Soo;Park, Jong Ho;Kim, Young Ho 99
We study some properties of tangent lines of parabolas. As a result, we establish some characterizations of parabolas.
On the Folding of the Rectangular Distribution
El-Shehawy, S.A.;Basher, M. 105
https://doi.org/10.5666/KMJ.2013.53.1.105 PDF KSCI
Based on the concept of the folding, the folding in X-direction and in Y-direction are defined and denoted by the X-Folding and the Y-Folding respectively. We consider a random variable X which follows a rectangular distribution "R(a, b) distribution" with two parameters a, b. This paper aims to apply the folding on the unit area P($a{\leq}X{\leq}b$) and also to study the proposed folding in each direction for R(a, b) distribution and the generated family of the corresponding constructed rectangular probability distributions. Some main properties of this family are reviewed. According to the proposed folding, we derive and discuss some important corresponding functions in closed forms.
The Polynomial Numerical Index of Lp(μ)
Kim, Sung Guen 117
We show that for 1 < $p$ < ${\infty}$, $k$, $m{\in}\mathbb{N}$, $n^{(k)}(l_p)=inf\{n^{(k)}(l^m_p):m{\in}\mathbb{N}\}$ and that for any positive measure ${\mu}$, $n^{(k)}(L_p({\mu})){\geq}n^{(k)}(l_p)$. We also prove that for every $Q{\in}P(^kl_p:l_p)$ (1 < $p$ < ${\infty}$), if $v(Q)=0$, then ${\parallel}Q{\parallel}=0$.
On Nearly Pairwise Compact Spaces
Mukharjee, Ajoy;Bose, Manoj Kumar 125
In this paper, we introduce the notion of near pairwise compactness which generalizes the notion of pairwise compactness.
G-frames as Sums of Some g-orthonormal Bases
Abdollahpour, Mohammad Reza;Najati, Abbas 135
In this paper we show that a $g$-frame for a Hilbert space $\mathcal{H}$ can be written as a linear combination of two $g$-orthonormal bases for $\mathcal{H}$ if and only if it is a $g$-Riesz basis for $\mathcal{H}$. Also, we show that every $g$-frame for a Hilbert space $\mathcal{H}$ is a multiple of a sum of three $g$-orthonormal bases for $\mathcal{H}$.
Representation Theory of the Lie Group T3 and Three Index Bessel Functions
Pathan, Mahmood Ahmad;Shahwan, Mohannad Jamal Said 143
The theory of generalized Bessel functions is reformulated within the framework of an operational formalism using the multiplier representation of the Lie group $T_3$ as suggested by Miller. This point of view provides more efficient tools which allow the derivation of generating functions of generalized Bessel functions. A few special cases of interest are also discussed.