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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 40, Issue 1 - Jun 2000
Volume 40, Issue 2 - 00 2000
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1
Special Linear Group and Modified Laguerre Functions
Pathan, M.A. ; Khan, Subuhi ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 1~1
Abstract
The aim of the present paper is to establish a fundamental relationship between special linear group SL(2) and modified Laguerre functions. The details of methods and ideas leading to generating relations involving modified Laguerre and hypergeometric functions are based on the approach of Miller.
2
Kaplansky-type Theorems
Kim, Hwan-Koo ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 9~9
Abstract
We characterize G-GCD domains and PVMDs as Kaplansky-type theorems. We also give the unified ideal-wise version of a Kaplansky-type theorem. As a consequence, we recover well-known characterization of UFDs,
, and Krull domains. Finally, we characterize PVMDs as a Nagata-type theorem.
3
New Mixed Finite Element Method for Stokes Equations
Gu, Haiming ; Liu, Huiming ; Liu, Guozhu ; Zhao, Sunren ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 17~17
Abstract
New mixed finite element method is formulated for Stokes equations in three dimensional domains. The convergence of a least square mixed method for the stationary and the evolutionary stokes equations are proved. The method does not require LBB condition on the finite dimensional subspaces.
4
Criteria for Oscillation of Impulsive Differential Equations of First Order with Deviating Argument
Dimitrova, Margarita Boneva ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 29~29
Abstract
Sufficient conditions are found for oscillation of all solutions of impulsive differential equations class of first order with fixed moments of impulse effect and deviating argument.
5
A Certain Subclass of Analytic Functions with Negative Coefficients and Fixed Points
Raina, R.K ; Nahar, T.S. ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 39~39
Abstract
This paper studies a new class of univalent analytic functions (defined below). A necessary and sufficient condition for a function to belong to such a class is obtained. The various results investigated include distortion theorems (involving also a certain fractional derivative operator), radius of convexity and certain other properties. Special cases of our results are also pointed out.
6
Time Optimal Initial Function Problem of Retarded Systems with Unbounded Operators
Park, Jong-Yeoul ; Jeong, Jin-Mun ; Park, Chul-Yun ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 49~49
Abstract
This paper deals with the time optimal initial function problem for the retarded functional differential equation with unbounded operators in a reflexive Banach space involving variables of initial data. Maximum principle and bang-bang principle for the time optimal initial function are also given.
7
An n-dimensional Version of Ostrowski's Inequality for Mappings of the
Type
Dragomir, S.S. ; Barnett, N.S. ; Cerone, P. ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 65~65
Abstract
Generalizations for multiple integrals and mappings of the
type, of the celebrated Ostrowski's inequality which extend
result from 1975, are given.
8
Meromorphic Solutions of Systems of Extraordinary Algebraic Differential Equations in the Complex Domain
Lingyun, Gao ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 77~77
Abstract
In this paper using the Nevanlinna theory of the value distribution of meromorphic functions, we investigate the problem of the existence of admissible meromorphic solutions of a type of systems of extraordinary algebraic differential equations and obtain a main result.
9
On the Hyers-Ulam Stability of a Functional Equation of Davison
Jung, Soon-Mo ; Sahoo, Prasanna K. ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 87~87
Abstract
We will prove the Hyers-Ulam stability of the Davison functional equation f(xy) + f(x+y) = f(xy+x) + f(y) for a class of functions from a field (or a commutative algebra) of characteristic different from 2 and 3 into a Banach space.
10
Matrix Transformations of Nakano Vector-valued Sequence Space
Suantal, Suthep ; Sudsukh, Chanan ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 93~93
Abstract
In this paper, we give necessary and sufficient conditions for infinite matrices mapping Nakano vector-valued sequence space l(X,p) into the sequence spaces
and we also give the matrix characterlizations from
into the space
where
is a bounded sequence of positive real numbers such that
for al
.
11
An Improvement of Pachpatte's Inequalities
Hwang, Dah-Yan ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 99~99
Abstract
In the present note we improve a new inequality given by Pachpatte.
12
Invertible Interpolation Problems in Tridiagonal Algebra
Jo, Young-Soo ; Kang, Joo-Ho ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 103~103
Abstract
Given operators X and Y acting on a Hilbert space
, an interpolating operator is a bounded operator A such that AX = Y. An interpolating operator for n-operators satisfies the equation
, for
. In this article, we investigate invertible interpolation problems in tridiagonal algebra.
13
A Study of Multidimensional Fractional Integral Operators and Generalized Stieltjes Transform
Garg, Mridula ; Purohit, Mridula ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 115~115
Abstract
In this paper, we study multidimensional fractional integral operators whose kernels involve the product of generalized polynomial sets and the multivariable H-function. First, we obtain the images of generalized Stieltjes transform of fractional integral operators and conversely, the fractional integrals of generalized Stieltjes transform. Finally, we mention the multidimensional Mellin transform of these operators and establish the corresponding inversion formulas. The fractional integral operators studied by us are quite general in nature and thus the results obtained here provide useful extensions and unifications of a number of (known or new) results for simpler families of fractional integral operators.
14
The Potential Theory for Degenerated Elliptic Operators
.
Horiuchi, Toshio ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 125~125
Abstract
In this article we shall study the potential theory for a class of degenerate elliptic operators
. With the operators
, we shall associate potential kernels
and define the
. potential of measure
on the halfspace
. Then we shall construct a theory of such potentials that can be considered as a substantial extension of the classical theory for the Laplacian in
. Moreover we shall make clear the degeneracy of the operators
on the hyperplane
from the point of view of the potential theory.
15
Exponentially Convex Functions Depending on the Norm
El-Bab, A. S. Okb ; Alghamdi, Mariam A. ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 139~139
Abstract
A number of results concerning exponentially convex functions defined on infinite dimensional spaces and depends on the norm are considered. First, we show that if
is a continuous exponentially convex function on an infinite dimensional space then f must be completely monotone and hence the integral representation of F can be obtained. The case of the Hilbert space is also considered. The necessary and sufficient condition for the function
to be completely monotone is obtained and the integral representation of a
exponentially convex function is also obtained. As a special case, the
spaces, $0\;<\;p\;{\leq}\;2$, are considered.
16
On Sequential Spaces and a Related Class of Spaces
Hong, Woo-Chorl ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 149~149
Abstract
We show some sufficient conditions that sequential spaces be
, weakly first countable spaces be first countable and symmetrizable spaces be semi-metrizable. And then we obtain some generalizations of the results of F. Siwiec and G Gruenhage as well as the author.
17
Extension Shape Theory
Ivansic, Ivan ; Rubin, Leonard R. ; Schapiro, Philip J. ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 157~157
Abstract
We develop a theory of P-shape for the class of compact Hausdorff spaces and for certain CW-complexes P. The complexes P which are allowed are those which, for each given weight
, admit a P-invertible map of a compact Hausdorff space of weight
and of extension dimension
onto the Tychonoff cube
. In particular it will be seen that classical shape theory comes from the case P = {pt}. Our concept is based on extension theory, and hence for any extension equivalent CW-complex P', P-shape and P'-shape will be identical. Indeed, if the extension theories of P and P' are related so that
, then we shall obtain a relation between their shape functors, one factoring through the other.
18
Real Hypersurfaces in Complex Hyperboric Space with Parallel Weyl Conformal Curvature Tensor
Baikoussis, Christos ; Suh, Young-Jin ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 173~173
Abstract
In this paper we give a complete classification of real hypersurfaces M in complex hyperbolic space
when the structure vector
is principal and the Weyl conformal curvature tensor C of M is parallel along the direction
.
19
Semi-invariant Submanifolds with Lift-flat Normal Connection in a Complex Projective Space
Ki, U-Hang ; Kim, He-Jin ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 185~185
Abstract
We study a real semi-invariant submanifold of codimension 3 in a complex projective space
and prove that a compact semi-invariant submanifold of codimension 3 with lift-flat normal connection in
is a real hypersurface of
.
20
Kauffman Bracket Polynomial of Sums of 4-tangles and their Minimality
Bae, Yong-Ju ;
Kyungpook mathematical journal, volume 40, issue 1, 2000, Pages 195~195
Abstract
For two 4-tangles
and
, there are two typical link diagrams
which are obtained by connecting them. In this paper we will establish the relationship between the bracket polynomials of
and those of the numerators
and the denominators
of
for i = 1, 2. Also as an application, we will study the minimality of the diagrams
and
in the case when
and
are alternating 4-tangles.