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Journal of the Chungcheong Mathematical Society
Journal Basic Information
pISSN :
1226-3524
eISSN :
2383-6245
Journal DOI :
10.14403/jcms
Frequency :
Others
Publisher:
Chungcheong Mathematical Society
Editor in Chief :
Sang Hoon Lee
Volume & Issues
Volume 25, Issue 4 - Nov 2012
Volume 25, Issue 3 - Aug 2012
Volume 25, Issue 2 - May 2012
Volume 25, Issue 1 - Feb 2012
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1
ON THE SUPERSTABILITY OF THE PEXIDER TYPE SINE FUNCTIONAL EQUATION
Kim, Gwang Hui ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 1~18
DOI : 10.14403/jcms.2012.25.1.001
Abstract
The aim of this paper is to investigate the superstability of the pexider type sine(hyperbolic sine) functional equation
which is bounded by the unknown functions
or
. As a consequence, we have generalized the stability results for the sine functional equation by P. M. Cholewa, R. Badora, R. Ger, and G. H. Kim.
2
AN EXPLICIT FORM OF POWERS OF A
MATRIX USING A RECURSIVE SEQUENCE
Kim, Daniel ; Ryoo, Sangwoo ; Kim, Taesoo ; SunWoo, Hasik ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 19~25
DOI : 10.14403/jcms.2012.25.1.019
Abstract
The purpose of this paper is to derive powers
using a system of recursive sequences for a given
matrix A. Introducing a recursive sequence we have a quadratic equation. Solutions to this quadratic equation are related with eigenvalues of A. By solving this quadratic equation we can easily obtain an explicit form of
. Our method holds when A is defined not only on the real field but also on the complex field.
3
ASYMPTOTIC AVERAGE SHADOWING PROPERTY ON A CLOSED SET
Lee, Manseob ; Park, Junmi ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 27~33
DOI : 10.14403/jcms.2012.25.1.027
Abstract
Let
be a difeomorphism of a closed
-dimensional smooth manifold M, and
be a hyperbolic periodic point of
. Let
be a closed set which containing
. In this paper, we show that (i) if
has the asymptotic average shadowing property on
, then
is the chain component which contains
. (ii) suppose
has the asymptotic average shadowing property on
. Then if
has the
-stably shadowing property then it is hyperbolic.
4
A GENERALIZATION OF CARLESON INEQUALITY IN THE CONTEXT OF SPACES OF HOMOGENEOUS TYPE
Suh, Choon-Serk ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 35~42
DOI : 10.14403/jcms.2012.25.1.035
Abstract
In this paper we first introduce a Carleson inequality and study the generalized form of Carleson inequality in the context of spaces of homogeneous type. The previous inequality is known to play important roles in harmonic analysis.
5
A FIXED POINT APPROACH TO THE STABILITY OF APPROXIMATELY QUADRATIC-ADDITIVE MAPPINGS
Lee, Chang-Ju ; Lee, Yang-Hi ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 43~49
DOI : 10.14403/jcms.2012.25.1.043
Abstract
In this paper, we investigate the stability of a functional equation
by using the fixed point theory in the sense of L.
and V. Radu.
6
ON THE STABILITY OF THE FUNCTIONAL EQUATION DERIVING FROM QUADRATIC AND ADDITIVE FUNCTION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD
Jin, Sun Sook ; Lee, Yang-Hi ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 51~63
DOI : 10.14403/jcms.2012.25.1.051
Abstract
In this paper, we prove the stability in random normed spaces via fixed point method for the functional equation
.
7
ANALOGUE OF WIENER INTEGRAL IN THE SPACE OF SEQUENCES OF REAL NUMBERS
Ryu, Kun Sik ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 65~72
DOI : 10.14403/jcms.2012.25.1.065
Abstract
Let T > 0 be given. Let
be the analogue of Wiener measure space, associated with the Borel proba-bility measure
on
, let
be the centered Gaussian measure space with the correlation operator
and
be the abstract Wiener measure space. Let U be the space of all sequence
in
such that the limit
converges uniformly on [0,T] and give a set function m such that for any Borel subset G of
,
. The goal of this note is to study the relationship among the measures
and
.
8
ON SOME PROPERTIES OF SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY TRANS-SASAKIAN MANIFOLD ADMITTING A QUARTER-SYMMETRIC NON-METRIC CONNECTION
Ahmad, Mobin ; Jun, Jae-Bok ; Siddiqi, Mohd Danish ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 73~90
DOI : 10.14403/jcms.2012.25.1.073
Abstract
We define a quarter-symmetric non-metric connection in a nearly trans-Sasakian manifold and we consider semi-invariant submanifolds of a nearly trans-Sasakian manifold endowed with a quarter-symmetric non-metric connection. Moreover, we also obtain integrability conditions of the distributions on semi-invariant submanifolds.
9
ANTI-CYCLOTOMIC EXTENSION AND HILBERT CLASS FIELD
Oh, Jangheon ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 91~95
DOI : 10.14403/jcms.2012.25.1.091
Abstract
In this paper, we show how to construct the first layer
of anti-cyclotomic
-extension of imaginary quadratic fields
when the Sylow subgroup of class group of k is 3-elementary, and give an example. This example is different from the one we obtained before in the sense that when we write
is obtained from non-units of
.
10
ON THE STATISTICAL CONVERGENCE OF SEQUENCES OF FUZZY POINTS IN A FUZZY NORMED LINEAR SPACE
Rhie, Gil Seob ; Hwang, In Ah ; Kim, Jeong Hee ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 97~103
DOI : 10.14403/jcms.2012.25.1.097
Abstract
In this paper, we introduce the notion of the statist-cally fuzzy convergent sequence and the statistical fuzzy
-Cauchy sequence of fuzzy points in a fuzzy normed linear space. And investigate some related properties.
11
NOTES ON MODULAR ORDERED SETS
Shin, Seon Ho ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 105~113
DOI : 10.14403/jcms.2012.25.1.105
Abstract
Generalizing modular lattices, a concept of modular ordered sets was introduced by Chajda and Rachunek. In this paper, we characterize modular ordered sets as those partially ordered set P satisfying that for
imply
. Using this, we obtain a sufficient condition for them. We also discuss the modularity of the Dedekind-MacNeille completions of ordered sets.
12
THE
-INTEGRAL OF BANACH-VALUED FUNCTIONS
Park, Jae Myung ; Kim, Byung Moo ; Kim, Young Kuk ; Lee, Hoe Kyoung ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 115~125
DOI : 10.14403/jcms.2012.25.1.115
Abstract
In this paper, we define the
-integral of Banach-valued functions and investigate some properties of the
-integral.
13
ON LYAPUNOV-TYPE FUNCTIONS FOR LINEAR DYNAMIC EQUATIONS ON TIME SCALES
Choi, Sung Kyu ; Cui, Yinhua ; Koo, Namjip ; Ryu, Hyun Sook ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 127~133
DOI : 10.14403/jcms.2012.25.1.127
Abstract
In this paper we give a necessary and sufficient condition for characterizing
-stability for linear dynamic systems on time scales by using Lyapunov functions.
14
GENERALIZED DUAL GOTTLIEB SETS AND COCATEGORIES
Yoon, Yeon Soo ; Kim, Hak Do ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 135~140
DOI : 10.14403/jcms.2012.25.1.135
Abstract
In this paper, we introduce the concepts of
-spaces for maps which are the dual concepts of
-spaces for maps, and characterize
-spaces for maps using the dual Gottlieb sets for maps and the LS cocategories.
15
ON AP-
INTEGRAL
Yoon, Ju Han ; Park, Jae Myung ; Lee, Deok Ho ;
Journal of the Chungcheong Mathematical Society , volume 25, issue 1, 2012, Pages 141~148
DOI : 10.14403/jcms.2012.25.1.141
Abstract
In this paper we define the AP-
integral and investigate some properties of this integral. Also, a convergence theorem is proved using equi-integrability conditions.