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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 44, Issue 4 - Dec 2004
Volume 44, Issue 3 - Oct 2004
Volume 44, Issue 2 - Jun 2004
Volume 44, Issue 1 - Mar 2004
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1
An Extension Theory Analogue of the Menger-Urysohn Addition Theorem for Stratifiable Spaces
Tonic, Vera ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 469~469
Abstract
The classical Mcnger-Urysohn addition theorem states that, given two subsets A and B of a metrizablc space, we have
dim A + dim B + 1. Jcrzy Dydak's extension theory analogue was the following: given two subsets A and B of a metrizablc space, and two CW-complexes K and L such that
K*L. We generalize this further using stratifiable spaces instead of metrizable ones. The class of stratifiable spaces lies between paracompact and metric spaces.
2
On Certain Unified Integrals Involving General Class of Polynomials and the Multivariable H-function
Garg, Mridula ; Mittal, Shweta ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 473~473
Abstract
In the present paper we evaluate two infinite integrals involving the product of two general classes of polynomials and the multivariable H-function with general arguments. These integrals are unified in nature and we can derive from them a large number of integrals involving simpler functions and polynomials as their particular cases. It may be pointed out here that in the present paper we have also corrected an integral recorded erroneously in the well known book by Gradshteyn I S. and Ryzhik I. M. [1, p.346, eq.3. 257].
3
On the Laplace Transform and the Generalized Weyl Fractional Integral Operator Involving the H-function
Goyal, S.P. ; Mukherjee, Rohit ; Jain, Rashmi ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 481~481
Abstract
In the present paper, we establish a general theorem exhibiting a relationship existing between the Laplace transform and the generalized Weyl fractional integral operator (FIO) of related functions. This theorem is very general in nature and involves a multidimensional series with essentially arbitrary sequence of complex numbers. By suitably assigning different values to these sequences, one can easily evaluate the generalized Weyl fractional integral operator of special functions of several variables. References of known results which follow as special cases of our theorem are also cited. We have obtained here as applications of the theorem, the generalized Weyl fractional integral of(Srivastava-Daoust) generalized Lauricella function which gives a number of results involving special functions of one or more variables merely by specializing the parameters. The results recently obtained by R. Jain and M. A. Pathan and S. P. Goyal and Ritu Goyal, etc. follow as special cases of our main findings.
4
Two Variations of the Choquet Game
Cao, Jiling ; Piotrowski, Zbigniew ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 495~495
Abstract
The Banach-Mazur game and the Choquet game are revisited to deduce new characterizations of sieve (almost) complete spaces. Some classical results of Choquet are extended to larger classes of spaces. By using the notion of sieve (almost) completeness, certain types of topological dosed graph and open mapping theorems are established.
5
Cauchy Completeness of
Ebrahimi, M.M. ; Mahmoudi, M. ; Tabatabaee, M.Vojdani ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 505~505
Abstract
Considering general Cauchy filters for
, we prove some results about completeness, given by Banaschewski,
. In particular. we show that a uniform
L is complete if and only if every general regular Canchy filter of L is convergent.
6
Normal Interpolation on Ax = y in CSL-Algebra AlgL
Jo, Young-Soo ; Kang, Joo-Ho ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 511~511
Abstract
Given vectors x and y in a Hilbert space, an interpolating operator is a bounded operator T such that Tx = y. An interpolating operator for n vectors satisfies the equation
. In this paper the following is proved : Let H be a Hilbert space and L bc a commutative subspace lattice on H. Let x and y be vectors in H. Let
Then the following are equivalent. (1) There exists an operator A in AlgL such that Ax = y, Af = 0 for all f in
and AE = EA for all
. (2)$sup\{\frac{{\parallel}{\sum}\;^n_{i=1}{\alpha}_iE_iy{\parallel}}{{\parallel}{\sum}\;^n_{i=1}{\alpha}_iE_iy{\parallel}}\;:\;n\;{\in}\;N,\;{\alpha_i}\;{\in}\;C\;and\;E_i\;{\in}\;L\}\;<\;{\infty},\;\overline{M}_{y}\subset\overline{M}_{x}$ and there is a vector h in
such that
=
and
=
for all E in L.
7
Periodic Solutions of a Delayed Population Model with One Predator and Two Preys
Xu, Rui ; Chaplain, M.A.J. ; Davidson, F.A. ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 519~519
Abstract
A delayed periodic Lotka-Volterra predator-prey model with one predator and two preys is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing appropriate Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model.
8
Error Estimation of Convergence of Distributions of Average of Reciprocals of Sine to the Cauchy Distribution
Neammanee, K. ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 537~537
Abstract
$Let\;X_1,\;X_2,\;{\cdots}$be a sequence of independent identically distributed random variables such that
the distribution function of
. Neammanee([7]) showed that
where F is the Cauchy distribution. In this paper, we investigate the accuracy of the approximation of F(x) to
. Under general conditions, we show that $sup_{-{\inft}
9
Regularities of Fractal Measures on
Baek, Hun-Ki ; Lee, Hung-Hwan ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 551~551
Abstract
We get a characterization of strong regularity with d-measure on.
10
Idealizers, Complete Integral Closures and Almost Pseudo-valuation Domains
Kanemitsu, Mitsuo ; Matsuda, Ryuki ; Onoda, Nobuharu ; Sugatani, Takasi ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 557~557
Abstract
We determine the complete integral closure
. of an almost pseudo-valuation domain R : if R has a prime ideal P of height 1, then
and
provided that R is of dimension
, and if otherwise,
.
11
Primitive Ideals of Semigroup Graded Rings
Gopalakrishnan, Hema ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 565~565
Abstract
Prime ideals of strong semigroup graded rings have been characterized by Bell, Stalder and Teply for some important classes of semigroups. The prime ideals correspond to certain families of ideals of the component rings called prime families. In this paper, we define the notion of a primitive family and show that primitive ideals of such rings correspond to primitive families of ideals of the component rings.
12
Uniqueness of Meromorphic Functions with Deficient Poles
Lahiri, Indrajit ; Banerjee, Abhijit ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 575~575
Abstract
We discuss the uniqueness problem of meromorphic functions having deficient poles and answer a question of H. X. Yi ([9]).
13
Inequality for Totally Real Warped Products in Locally Conformal Kaehler Space Forms
Kim, Young-Ho ; Yoon, Dae-Won ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 585~585
Abstract
In this article, we establish the inequality between the warping function of a warped product submanifold isometrically immersed in a locally conformal Kachler space form of constant holomorphic sectional curvature and the squared mean curvature. Furthermore, some applications are derived.
14
An Extension of the Fuglede-Putnam Theorem to (p, k)-quasihyponormal Operators
Lee, Mi-Young ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 593~593
Abstract
The equation AX = XB implies
when A and B are normal(Fuglede-Putnam Theorem). In this paper, the hypothesis on A and B can be relaxed by using a Hilbert-Schmidt operator X: Let A be (P,k)-quasihyponormal and let
be invertible (p, k )-quasihyponormal such that AX = XB for a Hilbert-Schmidt operator X and $|||A^*|^{1-p}||\;\cdot\;|||B^{-1}|^{1-p}||{\leq}\;1.\;Then\;A^*X\;=\;XB^*.$
15
Poisson Brackets on Banach Algebras
Park, Chun-Gil ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 597~597
Abstract
We prove that every almost Poisson bracket
on a Banach algebra A is a Poisson bracket when B(2x, z) = B(x,2z) = 2B(x,z), B(3x,z) = B(x,3z) = 3B(x, z) or B(qx, z) = B(x, qz) = qB(x, z) for all
. Here the numbers 2, 3, q depend on the functional equations given in the almost Poisson brackets.
16
On Generalized Quasi Einstein Manifolds
De, U.C. ; Ghosh, Gopal Chandra ;
Kyungpook mathematical journal, volume 44, issue 4, 2004, Pages 607~607
Abstract
The object of the present paper is to study a type of Riemannian manifold called generalized quasi Einstein manifold