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Honam Mathematical Journal
Journal Basic Information
pISSN :
1225-293X
eISSN :
Journal DOI :
10.5831/HMJ
Frequency :
Others
Publisher:
The Honam Mathematical Society
Editor in Chief :
Myung Hyun Cho
Volume & Issues
Volume 30, Issue 4 - Dec 2008
Volume 30, Issue 3 - Sep 2008
Volume 30, Issue 2 - Jun 2008
Volume 30, Issue 1 - Mar 2008
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1
DIGITAL GEOMETRY AND ITS APPLICATIONS
Han, Sang-Eon ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 207~217
DOI : 10.5831/HMJ.2008.30.2.207
Abstract
Digital geometry has strongly contributed to the study of a discrete topological space
with k-adjacency of
. As a survey-type article, we review various utilities of digital geometry.
2
A FUNCTIONAL EQUATION RELATED TO QUADRATIC FORMS WITHOUT THE CROSS PRODUCT TERMS
Park, Won-Gil ; Bae, Jae-Hyeong ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 219~225
DOI : 10.5831/HMJ.2008.30.2.219
Abstract
In this paper, we obtain the general solution and the stability of the 2-dimensional vector variable quadratic functional equation f( x + y, z - w) + f(x - y, z + w)
3
SOME PROPERTIES OF THE RIESZ-NÁGY-TAKÁCS DISTRIBUTION
Baek, In-Soo ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 227~231
DOI : 10.5831/HMJ.2008.30.2.227
Abstract
We give some relation between the Riemann-Stieltjes integrals with respect to the Riesz-N
gy-Tak
cs(RNT) distribution
satisfying the equation 1 - a
4
THE APPROXIMATION FOR FUNCTIONAL EQUATION ORIGINATING FROM A CUBIC FUNCTIO
Lee, Eun-Hwi ; Chang, Ick-Soon ; Jung, Yong-Soo ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 233~246
DOI : 10.5831/HMJ.2008.30.2.233
Abstract
In this paper, we obtain the general solution of the following cubic type functional equation and establish the stability of this equation (0.1) $kf({{\sum}\limits^{n-1}_{j
5
SOME TOPOLOGICAL PROPERTIES IN SUBTRACTION ALGEBRAS
Ahn, Sun-Shin ; Kim, Young-Hee ; Oh, Kyong-Ah ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 247~258
DOI : 10.5831/HMJ.2008.30.2.247
Abstract
In this paper, we show how certain topologies associate with ideals of subtraction algebras on subtraction algebras. We show subtraction algebras to be topological subtraction algebras with respect to theses topologies. Furthermore, we show how certain standard properties may arise. In addition we demonstrate that it is natural for these topologies to have many clop en sets and thus to be highly disconnected via the ideal theory of subtraction algebras.
6
ROBUST CONTROL FOR A PARABOLIC SYSTEM OF CHEMOTAXIS
Ryu, Sang-Uk ; Yun, Yong-Sik ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 259~272
DOI : 10.5831/HMJ.2008.30.2.259
Abstract
We are concerned with the robust control problem for the chemotaxis equations with predator-prey dynamics. That is, we present the existence and uniqueness of the solution. We also show the existence of the robust control and deduce the corresponding optimality conditions.
7
AN ALGEBRA WITH RIGHT IDENTITIES AND ITS ANTISYMMETRIZED ALGEBRA
Choi, Seul-Hee ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 273~281
DOI : 10.5831/HMJ.2008.30.2.273
Abstract
We define the Lie-admissible algebra NW
in this work. We show that the algebra and its antisymmetrized (i.e., Lie) algebra are simple. We also find all the derivations of the algebra NW
and its antisymmetrized algebra W
in the paper.
8
INTERVAL-VALUED FUZZY CONTRA ALPHA-OPEN MAPPINGS
Jun, Young-Bae ; Jeong, Seong-Woo ; Lee, Hyeon-Jeong ; Lee, Joon-Woo ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 283~297
DOI : 10.5831/HMJ.2008.30.2.283
Abstract
The notion of IVF contra (
-)open ((
-)closed) mappings is introduced, and their characterizations are given. The relationship between IVF contra open (closed) mappings and IVF contra
-open (
-closed) mappings are discussed.
9
INTERVAL-VALUED FUZZY CONTRA ALPHA-CONTINUOUS MAPPINGS
Jun, Young-Bae ; Jeong, Seong-Woo ; Lee, Hyeon-Jeong ; Lee, Joon-Woo ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 299~310
DOI : 10.5831/HMJ.2008.30.2.299
Abstract
The notion of interval-valued fuzzy
-continuous mappings and interval-valued fuzzy contra
-continuous mappings is introduced, and their characterizations are investigated.
10
PROBABILITY EDUCATION FOR PREPARATION OF MATHEMATICS TEACHERS USING PARADOXES
Lee, Sang-Gone ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 311~321
DOI : 10.5831/HMJ.2008.30.2.311
Abstract
Mathematical paradoxes may arise when computations give unexpected results. We use three paradoxes to illustrate how they work in the basic probability theory. In the process of resolving the paradoxes, we expect that student-teachers can pedagogically gain valuable experience in regards to sharpening their mathematical knowledge and critical reasoning.
11
ON SOME UPPER BOUNDS OF THE EXPONENTIAL FUNCTION
Bae, Jae-Gug ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 323~328
DOI : 10.5831/HMJ.2008.30.2.323
Abstract
In this paper, we introduce some algebraic, rational and polynomial upper bounds of the exponential function on the interval [0,1). And then we compare the acuteness of these bounds.
12
NORMAL INTERPOLATION ON AX
Jo, Young-Soo ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 329~334
DOI : 10.5831/HMJ.2008.30.2.329
Abstract
Given operators X and Y acting on a Hilbert space
, an interpolating operator is a bounded operator A such that AX
13
CONVEXITY OF DISTANCE FUNCTION BETWEEN GEODESICS
Kim, In-Su ; Kim, Yong-Il ; Lee, Doo-Hann ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 335~341
DOI : 10.5831/HMJ.2008.30.2.335
Abstract
In this paper, we use the convexity of distance function between geodesics in a singular Hadamard space to generalize Hadamard-Cartan theorem for 2-dimensional metric spaces. We also determine a neighborhood of a closed geodesic where no other closed geodesic exists in a complete space of nonpositive curvature.
14
THE REPRESENTABILITY OF MODULAR FORMS BY A CERTAIN THETA SERIES AND ITS APPLICATIONS
Jun, Sung-Tae ; Kim, In-Suk ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 343~358
DOI : 10.5831/HMJ.2008.30.2.343
Abstract
The primitive orders in a quaternion algebra play a central role of the theory of Hecke operators. In this paper, we study theta series generated by Brandt matrices and its applications to almost Ramanujan graphs.
15
A SIMPLE NOTE ON HARTOGS-LAURENT DOMAIN
Oh, Chun-Young ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 359~362
DOI : 10.5831/HMJ.2008.30.2.359
Abstract
We shall give a sufficient condition for Hartogs-Laurent domains over a base
to be taut, and study some properties for Hartogs-Laurent domains related to the
-extension property.
16
ON MULTIPLICATION MODULES(V)
Cho, Yong-Hwan ; Kim, Youn-Hyung ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 363~368
DOI : 10.5831/HMJ.2008.30.2.363
Abstract
In this paper, we find some properties of multiplication modules and give an alternative proof of a Theorem of P.F. Smith.
17
AN ASYMPTOTIC TRACKING CONTROL STRATEGY FOR MECHANICAL SYSTEMS WITH UNCERTAIN NONLINEAR FRICTION
Yang, Hyun-Suk ; Hong, Bum-Il ; Yang, Mee-Hyea ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 369~378
DOI : 10.5831/HMJ.2008.30.2.369
Abstract
Modeling nonlinear friction effects is a challenging problem. In this paper, a tracking controller is proposed for a system with uncertain nonlinear friction dynamics. Instead of using a specific friction model, we assume that the friction dynamics are represented by a function, which is unknown except its being continuously differentiable and Lipschitz continuous with known Lipschitz constants. It is shown that the scheme results in friction identification and trajectory position and velocity tracking. The analysis is done using Lyapunov-based stability method.
18
GENERAL FORMS OF BZ-IDEALS AND T-IDEALS IN BZ-ALGEBRAS
Jun, Young-Bae ; Zhang, Xiaohong ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 379~390
DOI : 10.5831/HMJ.2008.30.2.379
Abstract
More general forms of a BZ-ideal and a T-ideal are given, and appropriate examples are provided. The notion of T(m)-type BZ-algebra is introduced, and its characterizations are given.
19
A HOPF BIFURCATION IN SINGLE LAYERS FOR PUSHCHINO DYNAMICS WITH A SPATIAL DEPENDENCY
Yum, Sang-Sup ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 391~397
DOI : 10.5831/HMJ.2008.30.2.391
Abstract
The existence of solutions and the occurrence of a Hopf bifurcation for the free boundary problems with Pushchino dynamics was shown in [1]. In this paper, we shall show a Hopf bifurcation occurs for the free boundary for Pushchino dynamics with a spatial dependency.
20
CONVERGENCE OF NEWTON`S METHOD FOR SOLVING A CLASS OF QUADRATIC MATRIX EQUATIONS
Kim, Hyun-Min ;
Honam Mathematical Journal, volume 30, issue 2, 2008, Pages 399~409
DOI : 10.5831/HMJ.2008.30.2.399
Abstract
We consider the most generalized quadratic matrix equation, Q(X)