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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 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
APPLICATION OF THE OPERATOR H (α, β) TO THE SARAN FUNCTION F
_{E}
AND SOME OTHER RESULTS
Choi, June-Sang ; Kim, Yong-Sup ; Hasanov, Anvar ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 441~452
DOI : 10.5831/HMJ.2011.33.4.441
Abstract
The enormous success of the theory of hypergeometric series in a single variable has stimulated the development of a corresponding theory in two and more variables. A wide variety of investigations in the theory of several variable hypergeometric functions have been essentially motivated by the fact that solutions of many applied problems involving partial differential equations are obtainable with the help of such hypergeometric functions. Here, in this trend, we aim at presenting further decomposition formulas for Saran function
, which are used to give some integral representations of the function
. We also present a system of partial differential equations for the Saran function
.
2
THE LATTICE OF ORDINARY SMOOTH TOPOLOGIES
Cheong, Min-Seok ; Chae, Gab-Byung ; Hur, Kul ; Kim, Sang-Mok ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 453~465
DOI : 10.5831/HMJ.2011.33.4.453
Abstract
Lim et al. [5] introduce the notion of ordinary smooth topologies by considering the gradation of openness[resp. closedness] of ordinary subsets of X. In this paper, we study a collection of all ordinary smooth topologies on X, say OST(X), in the sense of a lattice. And we prove that OST(X) is a complete lattice.
3
ON THE STABILITY OF THE PEXIDER EQUATION IN SCHWARTZ DISTRIBUTIONS VIA HEAT KERNEL
Chung, Jae-Young ; Chang, Jeong-Wook ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 467~485
DOI : 10.5831/HMJ.2011.33.4.467
Abstract
We consider the Hyers-Ulam-Rassias stability problem
for the Schwartz distributions u,
, w, which is a distributional version of the Pexider generalization of the Hyers-Ulam-Rassias stability problem
, x,
, for the functions f, g, h :
.
4
α-SCALAR CURVATURE OF THE t-MANIFOLD
Cho, Bong-Sik ; Jung, Sun-Young ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 487~493
DOI : 10.5831/HMJ.2011.33.4.487
Abstract
The Fisher information matrix plays a significant role in statistical inference in connection with estimation and properties of variance of estimators. In this paper, we define the parameter space of the t-manifold using its Fisher's matrix and characterize the t-manifold from the viewpoint of information geometry. The
-scalar curvatures to the t-manifold are calculated.
5
A CONVERSE OF EULER'S THEOREM FOR POLYHEDRA
Ahn, Seung-Ho ; Kim, Dong-Soo ; Kim, Young-Ho ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 495~498
DOI : 10.5831/HMJ.2011.33.4.495
Abstract
We give a converse of the well-known Euler's theorem for convex polyhedra.
6
INTERVAL-VALUED FUZZY SUBGROUPS AND HOMOMORPHISMS
Kang, Hee-Won ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 499~518
DOI : 10.5831/HMJ.2011.33.4.499
Abstract
We obtain the interval-valued fuzzy subgroups generated by interval-valued fuzzy sets and some properties preserved by a ring homomorphism. Furthermore, we introduce the concepts of interval-valued fuzzy coset and study some of it's properties.
7
A NOTE ON THE WEIGHTED q-BERNOULLI NUMBERS AND THE WEIGHTED q-BERNSTEIN POLYNOMIALS
Dolgy, D.V. ; Kim, T. ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 519~527
DOI : 10.5831/HMJ.2011.33.4.519
Abstract
Recently, the modified q-Bernoulli numbers and polynomials with weight
are introduced in [3]: In this paper we give some interesting p-adic integral representation on
of the weighted q-Bernstein polynomials related to the modified q-Bernoulli numbers and polynomials with weight
. From those integral representation on
of the weighted q-Bernstein polynomials, we can derive some identities on the modified q-Bernoulli numbers and polynomials with weight
.
8
A NOTE ON THE q-ANALOGUES OF EULER NUMBERS AND POLYNOMIALS
Choi, Jong-Sung ; Kim, Tae-Kyun ; Kim, Young-Hee ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 529~534
DOI : 10.5831/HMJ.2011.33.4.529
Abstract
In this paper, we consider the q-analogues of Euler numbers and polynomials using the fermionic p-adic invariant integral on
. From these numbers and polynomials, we derive some interesting identities and properties on the q-analogues of Euler numbers and polynomials.
9
IDEAL THEORY OF PRE-LOGICS BASED ON N-STRUCTURES
Kim, Young-Hie ; Ahn, Sun-Shin ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 535~546
DOI : 10.5831/HMJ.2011.33.4.535
Abstract
Using
-structures, the notion of an
-ideal in a prelogic is introduced. Characterizations of an
-ideal are discussed. Conditions for an
-structure to be an
-ideal are provided.
10
SCALAR CURVATURES ON SU(3)/T(k, l)
Pyo, Yong-Soo ; Shin, Hyun-Ju ; Park, Joon-Sik ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 547~556
DOI : 10.5831/HMJ.2011.33.4.547
Abstract
In this paper, we estimated the Ricci curvature and the scalar curvature on SU(3)/T (k, l) under the condition (k, l)
(
), where the four isotropy irreducible representations in SU(3)/T (k, l) are, not necessarily, mutually equivalent or inequivalent.
11
AFFINE YANG-MILLS CONNECTIONS ON NORMAL HOMOGENEOUS SPACES
Park, Joon-Sik ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 557~573
DOI : 10.5831/HMJ.2011.33.4.557
Abstract
Let G be a compact and connected semisimple Lie group, H a closed subgroup, g (resp. h) the Lie algebra of G (resp. H), B the Killing form of g, g the normal metric on the homogeneous space G/H which is induced by -B. Let D be an invarint connection with Weyl structure (D, g,
) in the tangent bundle over the normal homogeneous Riemannian manifold (G/H, g) which is projectively flat. Then, the affine connection D on (G/H, g) is a Yang-Mills connection if and only if D is the Levi-Civita connection on (G/H, g).
12
CLASSIFICATION OF SPACES IN TERMS OF BOTH A DIGITIZATION AND A MARCUS WYSE TOPOLOGICAL STRUCTURE
Han, Sang-Eon ; Chun, Woo-Jik ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 575~589
DOI : 10.5831/HMJ.2011.33.4.575
Abstract
In order to examine the possibility of some topological structures into the fields of network science, telecommunications related to the future internet and a digitization, the paper studies the Marcus Wyse topological structure. Further, this paper develops the notions of lattice based Marcus Wyse continuity and lattice based Marcus Wyse homeomorphism which can be used for studying spaces
in the Marcus Wyse topological approach. By using these two notions, we can study and classify lattice based simple closed Marcus Wyse curves.
13
THE LIMITING BEHAVIORS OF LINEAR RANDOM FIELDS GENERATED BY LNQD RANDOM VARIABLES ON ℤ
^{2}
Ko, Mi-Hwa ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 591~602
DOI : 10.5831/HMJ.2011.33.4.591
Abstract
In this paper we establish the central limit theorem and the strong law of large numbers for linear random fields generated by identically distributed linear negative quadrant dependent random variables on
.
14
INTERVAL-VALUED FUZZY GENERALIZED BI-IDEALS OF A SEMIGROUP
Lee, Keon-Chang ; Kang, Hee-Won ; Hur, Kul ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 603~616
DOI : 10.5831/HMJ.2011.33.4.603
Abstract
We introduce the concept of an interval-valued fuzzy generalized bi-ideal of a semigroup, which is an extension of the concept of an interval-valued fuzzy bi-ideal (and of a noninterval-valued fuzzy bi-ideal and a noninterval-valued fuzzy ideal of a semi-group), and characterize regular semigroups, and both intraregular and left quasiregular semigroup in terms of interval-valued fuzzy generalized bi-ideals.
15
ARRANGEMENT OF ELEMENTS OF LOCALLY FINITE TOPOLOGICAL SPACES UP TO AN ALF-HOMEOMORPHISM
Han, Sang-Eon ; Chun, Woo-Jik ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 617~628
DOI : 10.5831/HMJ.2011.33.4.617
Abstract
In relation to the classification of finite topological spaces the paper [17] studied various properties of finite topological spaces. Indeed, the study of future internet system can be very related to that of locally finite topological spaces with some order structures such as preorder, partial order, pretopology, Alexandroff topological structure and so forth. The paper generalizes the results from [17] so that the paper can enlarge topological and homotopic properties suggested in the category of finite topological spaces into those in the category of locally finite topological spaces including ALF spaces.
16
TAUTNESS AND HYPERBOLICITY OF MODEL DOMAINS
Park, Sung-Hee ;
Honam Mathematical Journal, volume 33, issue 4, 2011, Pages 629~633
DOI : 10.5831/HMJ.2011.33.4.629
Abstract
In this paper we study some properties related to hyperbolicity and tautness of model domains.