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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 :
Volume & Issues
Volume 27, Issue 4 - Dec 2005
Volume 27, Issue 3 - Sep 2005
Volume 27, Issue 2 - Jun 2005
Volume 27, Issue 1 - Mar 2005
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1
RESULTS ON HYPERK-ALGEBRAS OF ORDER 3
BORZOOEI, R.A. ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 141~162
Abstract
In this paper, by considering the notion of hyperK-algebras of order 3 (which satisfies the simple or normal condition), we state and prove some theorems which determine the relationships between (weak) hyperK-ideals and positive implicative hyperK-ideals of type
.
2
INTUITIONISTIC FUZZY EQUIVALENCE RELATIONS
HUR, KUL ; JANG, SU YOUN ; AHN, YOUNG SIN ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 163~181
Abstract
We study some properties of intuitionistic fuzzy equivalence relations. Also we introduce the concepts of intuitionistic fuzzy transitive closures and level sets of an intuitionistic fuzzy relation and we investigate some of their properties.
3
DETERMINATION OF PERMUTATION GRAPHS
KOH, YOUNGMEE ; REE, SANGWOOK ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 183~194
Abstract
A permutation graph is the graph of inversions in a permutation. Here we determine whether a given labelled graph is a permutation graph or not and when a graph is a permutation graph we find the associated permutation. We also characterize all the 2-regular permutation graphs.
4
CONFORMAL MAPPING AND CLASSICAL KERNEL FUNCTIONS
CHUNG, YOUNG-BOK ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 195~203
Abstract
We show that the exact Bergman kernel function associated to a
bounded domain in the plane relates the derivatives of the Ahlfors map in an explicit way. And we find several formulas relating the exact Bergman kernel to classical kernel functions in potential theory.
5
ON THE UNIQUENESS OF SOLUTION OF A FIRST ORDER NON-LINEAR COMPLEX ELLIPTIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS IN SOBOLEV SPACE
TAGHIZADEH, N. ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 205~209
Abstract
In this paper we discuss on the uniquenss of the solution of partial differential equations: (1)
in the sobolev space
.
6
ON THE STABILITY OF FUNCTIONAL EQUATIONS CONCERNED A MULTIPLICATIVE DERIVATION
LEE, EUN HWI ; CHANG, ICK-SOON ; JUNG, YONG-SOO ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 211~223
Abstract
In this paper we study the Hyers-Ulam stability and the superstability of functional equations related to a multiplicative derivation.
7
DEGREE OF APPROXIMATION TO A SMOOTH FUNCTION BY GENERALIZED TRANSLATION NETWORKS
HAHM, NAHMWOO ; YANG, MEEHYEA ; HONG, BUM IL ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 225~232
Abstract
We obtain the approximation order to a smooth function on a compact subset of
by generalized translation networks. In our study, the activation function is infinitely many times continuously differentiable function but it does not have special properties around
and
like a sigmoidal activation function. Using the Jackson's Theorem, we get the approximation order. Especially, we obtain the approximation order by a neural network with a fixed threshold.
8
LOCALIZATION PROPERTY AND FRAMES
HA, YOUNG-HWA ; RYU, JU-YEON ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 233~241
Abstract
A sequence
in a Hilbert space H is said to be exponentially localized with respect to a Riesz basis
for H if there exist positive constants r < 1 and C such that for all i,
, ${\mid}
{\mid}{\leq}Cr^{{\mid}i-j{\mid}}$ and ${\mid}
{\mid}{\leq}Cr^{{\mid}i-j{\mid}}$ where
is the dual basis of
. It can be shown that such sequence is always a Bessel sequence. We present an additional condition which guarantees that
is a frame for H.
9
INVERTIBLE INTERPOLATION ON AX = Y IN A TRIDIAGONAL ALGEBRA ALG𝓛
JO, YOUNG SOO ; KANG, JOO HO ; PARK, DONG WAN ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 243~250
Abstract
Given operators X and Y acting on a separable Hilbert space
, an interpolating operator is a bounded operator A such that AX = Y. We show the following: Let
be a subspace lattice acting on a separable complex Hilbert space
. and let
and
be operators acting on
. Then the following are equivalent: (1) There exists an invertible operator
in
such that AX = Y. (2) There exist bounded sequences {
} and {
} in
such that
and
for
.
10
GENERALIZED FUZZY VECTOR QUASIVARIATIONAL-LIKE INEQUALITIES
KANG, MEE-KWANG ; LEE, BYUNG-SOO ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 251~265
Abstract
In this paper, we introduce a generalized vector quasivariational like inequality for fuzzy mappings and show the existence of solutions under compact assumption.
11
A CHARACTERIZATION OF THE HYPERSPHERE
KIM, DONG-SOO ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 267~271
Abstract
We study hypersurfaces in the Euclidean space with the following property: the tangential part of the position vector has constant length. As a result, we prove that among the connected and complete hypersurfaces in the Euclidean space, only the hypersphere centered at the origin satisfies the property.
12
PARTIAL DIFFERENTIAL EQUATIONS AND SCALAR CURVATURES ON SPACE-TIMES
JUNG, YOON-TAE ; JEONG, BYOUNG-SOON ; CHOI, EUN-HEE ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 273~285
Abstract
In this paper, when N is a compact Riemannian manifold, we discuss the method of using warped products to construct Lorentzian metrics on
with specific scalar curvatures
13
TAUT STRUCTURES IN AN IDEAL TRIANGULATION WITH TWO OR THREE TETRAHEDRA
KANG, ENSIL ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 287~300
Abstract
In this paper, we classify all taut structures for ideal triangulations with two and three tetrahedra.
14
A FUNCTIONAL CENTRAL LIMIT THEOREM FOR MULTIVARIATE LINEAR PROCESS WITH POSITIVELY DEPENDENT RANDOM VECTORS
KO, MI-HWA ; KIM, TAE-SUNG ; KIM, HYUN-CHULL ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 301~315
Abstract
Let
be a sequence of coefficient matrices such that ${\sum}_{u=0}^{\infty}{\parallel}A_u{\parallel}<{\infty}$ and
, where for any
, matrix
,
and
denotes the
zero matrix. In this paper, a functional central limit theorem is derived for a stationary m-dimensional linear process
of the form
, where
is a stationary sequence of linearly positive quadrant dependent m-dimensional random vectors with
and $E{\parallel}{\mathbb{Z}_t}{\parallel}^2<{\infty}$.
15
ERROR ANALYSIS OF THE hp-VERSION UNDER NUMERICAL INTEGRATIONS FOR NON-CONSTANT COEFFICIENTS
KIM, IK-SUNG ;
Honam Mathematical Journal, volume 27, issue 2, 2005, Pages 317~332
Abstract
In this paper we consider the hp-version to solve non-constant coefficients elliptic equations on a bounded, convex polygonal domain
in
. A family
of numerical quadrature rules satisfying certain properties can be used for calculating the integrals. When the numerical quadrature rules
are used for computing the integrals in the stiffness matrix of the variational form we will give its variational form and derive an error estimate of
.