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Honam Mathematical Journal
Journal Basic Information
pISSN :
1225-293X
eISSN :
2288-6176
Journal DOI :
10.5831/HMJ
Frequency :
Others
Publisher:
The Honam Mathematical Society
Editor in Chief :
Myung Hyun Cho
Volume & Issues
Volume 33, Issue 4 - Dec 2011
Volume 33, Issue 3 - Sep 2011
Volume 33, Issue 2 - Jun 2011
Volume 33, Issue 1 - Mar 2011
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1
SPHERICAL NEWTON DISTANCE FOR OSCILLATORY INTEGRALS WITH HOMOGENEOUS PHASE FUNCTIONS
Jo, Gyu-Dong ; Lee, Sang-Hyun ; Ryu, Chul-Woo ; Suh, Young-Cha ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 1~9
DOI : 10.5831/HMJ.2011.33.1.001
Abstract
In this paper we study oscillatory integrals with analytic homogeneous phase functions for smooth radial functions. We give their sharp asymptotic behavior in terms of spherical Newton distance.
2
A NOTE ON QUASI-TOPOLOGICAL SPACES
Min, Won-Keun ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 11~17
DOI : 10.5831/HMJ.2011.33.1.011
Abstract
We study some properties of quasi-topological spaces. Also we introduce the concept of Q-continuity and investigate several types of quasi-topology on an SGNS.
3
CANONICAL LEFT CELLS AND THE SHORTEST LENGTH ELEMENTS IN THE DOUBLE COSETS OF WEYL GROUPS
Kwon, Nam-Hee ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 19~25
DOI : 10.5831/HMJ.2011.33.1.019
Abstract
Let G be the general linear group GL(n,
),
the Weyl group of G and W the extended a neWeyl group of G. Then it is well-known that W is a union of the double cosets
as x moves over the set of dominant weights of W. It is also known that each double coset
contains a unique element
of the shortest length. These shortest length elements belong to what are called the canonical left cells. However, it is still an open problem to find the canonical left cell containing a given
. One of the mai purposes of this paper is to introduce a new approach to attack this question. In particular, we will present a conjecture which explicitly describes the canonical left cells containing an element
. We will show that our conjecture is true for some specific types of
.
4
L-FUZZY TOPOLOGICAL SPACES AND L-FUZZY QUASI-PROXIMITY SPACES
Kim, Eun-Seok ; Ahn, Seung-Ho ; Park, Dae-Heui ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 27~41
DOI : 10.5831/HMJ.2011.33.1.027
Abstract
This paper studies the relationship between L-fuzzy proximities and L-fuzzy topologies by topological fuzzy remote neigh-borhood systems. We will prove that the category of L-fuzzy topo- logical spaces can be embedded in the category of L-fuzzy quasi-proximity spaces as a core ective full subcategory.
5
GENERALIZED DOUBLE INTEGRAL INVOLVING KAMPÉ DE FÉRIET FUNCTION
Kim, Yong-Sup ; Ali, Shoukat ; Rathie, Navratna ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 43~50
DOI : 10.5831/HMJ.2011.33.1.043
Abstract
The aim of this paper is to obtain twenty five Eulerian type double integrals in the form of a general double integral involving Kamp
de F
riet function. The results are derived with the help of the generalized classical Watson's theorem obtained earlier by Lavoie, Grondin and Rathie. A few interesting special cases of our main result are also given.
6
IDENTIFICATION METHOD FOR DIGITAL SPACES
Han, Sang-Eon ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 51~60
DOI : 10.5831/HMJ.2011.33.1.051
Abstract
The aim of the paper is to develop an identification method for digital spaces and to study its digital homotopic properties related to a strong k-deformation retract.
7
ON SPECIAL SETS IN PRE-LOGICS
Ahn, Sun-Shin ; Yoo, Jae-Kwang ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 61~71
DOI : 10.5831/HMJ.2011.33.1.061
Abstract
The notion of a complicated pre-logic is introduced and investigated some properties of it. A special set in a pre-logic is established and some related its properties are discussed. Also more extended special sets in a pre-logic are introduced and some relations with deductive systems are obtained.
8
ON AN L
^{∞}
-VERSION OF A PEXIDERIZED QUADRATIC FUNCTIONAL INEQUALITY
Chung, Jae-Young ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 73~84
DOI : 10.5831/HMJ.2011.33.1.073
Abstract
Let f, g, h, k :
be locally integrable functions. We deal with the
-version of the Hyers-Ulam stability of the quadratic functional inequality and the Pexiderized quadratic functional inequality
based on the concept of linear functionals on the space of smooth functions with compact support.
9
SOME STRONG FORMS OF (g,g')-CONTINUITY ON GENERALIZED TOPOLOGICAL SPACES
Min, Won-Keun ; Kim, Young-Key ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 85~91
DOI : 10.5831/HMJ.2011.33.1.085
Abstract
We introduce and investigate the notions of super (g,g')-continuous functions and strongly
(g,g')-continuous functions on generalized topological spaces, which are strong forms of (g,g')-continuous functions. We also investigate relationships among such the functions, (g,g')-continuity and (
)-continuity.
10
AN OVERVIEW OF MAX-PLUS LINEAR SYSTEMS
Kim, Yong-Gu ; Shin, Hyun-Hee ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 93~113
DOI : 10.5831/HMJ.2011.33.1.093
Abstract
Let
= max(a, b),
=a+b, a,
. In max-plus algebra we work on the linear algebra structure for the pair of operations (
) extended to matrices and vectors over
. In this paper our main aim is to reproduce the work of R. A. Cuninghame-Green [3] on the linear systems over a max-plus semi-field
.
11
INVERTIBLE INTERPOLATION ON Ax = y IN A TRIDIAGONAL ALGEBRA ALGℒ
Kwak, Sung-Kon ; Kang, Joo-Ho ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 115~120
DOI : 10.5831/HMJ.2011.33.1.115
Abstract
Given vectors x and y in a separable complex Hilbert space
, an interpolating operator is a bounded operator A such that Ax = y. We show the following : Let Alg
be a tridiagonal algebra on a separable complex Hilbert space H and let x = (
) and y = (
) be vectors in H. Then the following are equivalent: (1) There exists an invertible operator A = (
) in Alg
such that Ax = y. (2) There exist bounded sequences
and
in
such that for all
,
and
.
12
THE NONEXISTENCE OF CONFORMAL DEFORMATIONS ON SPACE-TIMES (II)
Jung, Yoon-Tae ;
Honam Mathematical Journal, volume 33, issue 1, 2011, Pages 121~127
DOI : 10.5831/HMJ.2011.33.1.121
Abstract
In this paper, when N is a compact Riemannian manifold, we discuss the nonexistence of conformal deformations on space-times
with prescribed scalar curvature functions.