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Journal of the Chungcheong Mathematical Society
Journal Basic Information
pISSN :
1226-3524
eISSN :
Journal DOI :
10.14403/jcms
Frequency :
Others
Publisher:
Chungcheong Mathematical Society
Editor in Chief :
Nam-Jip Koo
Volume & Issues
Volume 26, Issue 4 - Nov 2013
Volume 26, Issue 3 - Aug 2013
Volume 26, Issue 2 - May 2013
Volume 26, Issue 1 - Feb 2013
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1
FIXED POINT AND PERIODIC POINT THEOREMS ON METRIC SPACES
Cho, Seong-Hoon ; Park, Dong-Gon ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 1~16
DOI : 10.14403/jcms.2013.26.1.001
Abstract
The aim of this paper is to establish a new fixed point theorem for a set-valued mapping defined on a metric space satisfying a weak contractive type condition and to establish a new common fixed point theorem for a pair of set-valued mappings defined on a metric space satisfying a weak contractive type inequality. And we give periodic point theorems for single-valued mappings defined on a metric space satisfying weak contractive type conditions.
2
BIPOLAR-VALUED FUZZY IDEAL EXTENSIONS OF BCK-ALGEBRAS
Jeong, Won Kyun ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 17~27
DOI : 10.14403/jcms.2013.26.1.017
Abstract
The notions of the extensions of bipolar fuzzy ideals, bipolar fuzzy prime ideals and bipolar fuzzy commutative ideals in BCK-algebras are introduced, and several properties are investigated.
3
SEQUENTIAL ESTIMATION OF THE MEAN VECTOR WITH BETA-PROTECTION IN THE MULTIVARIATE DISTRIBUTION
Kim, Sung Lai ; Song, Hae In ; Kim, Min Soo ; Jang, Yu Seon ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 29~36
DOI : 10.14403/jcms.2013.26.1.029
Abstract
In the treatment of the sequential beta-protection procedure, we define the reasonable stopping time and investigate that for the stopping time Wijsman's requirements, coverage probability and beta-protection conditions, are satisfied in the estimation for the mean vector
by the sample from the multivariate normal distributed population with unknown mean vector
and a positive definite variance-covariance matrix
.
4
ON SUBTRACTIVE EXTENSION OF SUBSEMIMODULES OF SEMIMODULES
Chaudhari, Jayprakash Ninu ; Bonde, Dipak Ravindra ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 37~44
DOI : 10.14403/jcms.2013.26.1.037
Abstract
Let R be a commutative semiring with
. Characterization of subsemimodules, prime subsemimodules and primary subsemimodules which are subtractive extensions of Q-subsemimodules in R-semimodules are investigated.
5
TRANSITIVE SETS WITH C
^{1}
-STABLY LIMIT SHADOWING
Lee, Keonhee ; Lee, Manseob ; Lee, Seunghee ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 45~52
DOI : 10.14403/jcms.2013.26.1.045
Abstract
We show that a nontrivial transitive set is
-stably limit shadowable if and only if the transitive set is hyperbolic.
6
TOPOLOGY FIELDS, TOPOLOGICAL FLOWS AND TOPOLOGICAL ORGANISMS
Kim, Jae-Ryong ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 53~69
DOI : 10.14403/jcms.2013.26.1.053
Abstract
Topology may described a pattern of existence of elements of a given set X. The family
of all topologies given on a set X form a complete lattice. We will give some topologies on this lattice
using a topology on X and regard
a topological space. A topology
on X can be regarded a map from X to
naturally. Such a map will be called topology field. Similarly we can also define pe-topology field. If X is a topological flow group with acting group T, then naturally we can get a another topological flow
with same acting group T. If the topological flow X is minimal, we can prove
is also minimal. The disjoint unions of the topological spaces can describe some topological systems (topological organisms). Here we will give a definition of topological organism. Our purpose of this study is to describe some properties concerning patterns of relationship between topology fields and topological organisms.
7
ON SOME NONLINEAR INTEGRAL INEQUALITIES ON TIME SCALES
Choi, Sung Kyu ; Koo, Namjip ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 71~84
DOI : 10.14403/jcms.2013.26.1.071
Abstract
In this paper we study some nonlinear Pachpatte type integral inequalities on time scales by using a Bihari type inequality. Our results unify some continuous inequalities and their corresponding discrete analogues, and extend these inequalities to dynamic inequalities on time scales. Furthermore, we give some examples concerning our results.
8
OPTIMAL CONSUMPTION AND INVESTMENT PROBLEM WITH REGIME-SWITCHING AND CARA UTILITY
Shin, Yong Hyun ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 85~90
DOI : 10.14403/jcms.2013.26.1.085
Abstract
We use the dynamic programming method to investigate the optimal consumption and investment problem with regime-switching. We derive the optimal solutions in closed-form with constant absolute risk aversion (CARA) utility.
9
BIPRODUCT BIALGEBRAS WITH A PROJECTION ONTO A HOPF ALGEBRA
Park, Junseok ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 91~103
DOI : 10.14403/jcms.2013.26.1.091
Abstract
Let (D,B) be an admissible pair. Then recall that
are bialgebra maps satisfying
. We have solved a converse in case D is a Hopf algebra. Let D be a Hopf algebra with antipode
and be a left H-comodule algebra and a left H-module coalgebra over a field
. Let A be a bialgebra over
. Suppose
are bialgebra maps satisfying
. Set
and
be the inclusion. Suppose that
is an algebra map. We show that (D,B) is an admissible pair and
is an admissible mapping system and that the generalized biproduct bialgebra
is isomorphic to A as bialgebras.
10
LOGARITHMIC COMPOSITION INEQUALITY IN BESOV SPACES
Park, Young Ja ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 105~110
DOI : 10.14403/jcms.2013.26.1.105
Abstract
A logarithmic composition inequality in Besov spaces is derived which generalizes Vishik's inequality:
, where
is a volume-preserving diffeomorphism on
.
11
A CHANGE OF SCALE FORMULA FOR GENERALIZED WIENER INTEGRALS II
Kim, Byoung Soo ; Song, Teuk Seob ; Yoo, Il ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 111~123
DOI : 10.14403/jcms.2013.26.1.111
Abstract
Cameron and Storvick discovered change of scale formulas for Wiener integrals on classical Wiener space. Yoo and Skoug extended this result to an abstract Wiener space. In this paper, we investigate a change of scale formula for generalized Wiener integrals of various functions using the generalized Fourier-Feynman transform.
12
FUZZY INTUITIONISTIC ALMOST (r, s)-CONTINUOUS MAPPINGS
Lee, Eun Pyo ; Lee, Seung On ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 125~135
DOI : 10.14403/jcms.2013.26.1.125
Abstract
We introduce the concepts of fuzzy
-regular open sets and fuzzy almost
-continuous mappings on the intuitionistic fuzzy topological spaces in
sense. Also we investigate the equivalent conditions of the fuzzy almost
-continuity.
13
CONVERGENCE RATE IN STRONG LAW FOR ARRAYS OF ROWWISE AANA RANDOM VARIABLES
Han, Kwang-Hee ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 137~145
DOI : 10.14403/jcms.2013.26.1.137
Abstract
In this paper we obtain the complete convergence of weighted sums of asymptotically almost negatively associated random variables. Some previous known results for negatively associated random variables are generalized to asymptotically almost negative association case.
14
DETERMINATION OF MINIMUM LENGTH OF SOME LINEAR CODES
Cheon, Eun Ju ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 147~159
DOI : 10.14403/jcms.2013.26.1.147
Abstract
Hamada ([8]) and Maruta ([17]) proved the minimum length
for some ternary codes. In this paper we consider such minimum length problem for
, and we prove that
for
,
. Combining this result with Theorem A in [4], we have
for
with
. Note that
for
by Theorem 1.2.
15
HILBERT 3-CLASS FIELD TOWERS OF IMAGINARY CUBIC FUNCTION FIELDS
Jung, Hwanyup ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 161~166
DOI : 10.14403/jcms.2013.26.1.161
Abstract
In this paper we study the infiniteness of the Hilbert 3-class field tower of imaginary cubic function fields.
16
A SOLUTION OF EINSTEIN'S FIELD EQUATIONS FOR THE THIRD CLASS IN X
_{4}
Lee, Jong Woo ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 167~174
DOI : 10.14403/jcms.2013.26.1.167
Abstract
The main goal in the present paper is to obtain a solution of Einstein's unified field equations for the third class in
.
17
ON LINEAR BCI-ALGEBRAS
Kim, Young Hee ; So, Keum Sook ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 175~179
DOI : 10.14403/jcms.2013.26.1.175
Abstract
In this note, we show that every linear BCI-algebra (X; *,
),
, has of the form
where
, where X is a field with
.
18
ON PUTINAR'S MATRICIAL MODEL OPERATOR OF RANK 2
Lee, Jun Ik ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 181~190
DOI : 10.14403/jcms.2013.26.1.181
Abstract
In this paper we study the Putinar's matricial model operator of rank 2 and provide some evidences for the validity of the conjecture in [8].
19
A NOTE ON EULERIAN POLYNOMIALS OF HIGHER ORDER
Choi, Jongsung ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 191~196
DOI : 10.14403/jcms.2013.26.1.191
Abstract
In this paper we derive some identities on Eulerian polynomials of higher order from non-linear ordinary differential equations. We show that the generating functions of Eulerian polynomials are solutions of our non-linear ordinary differential equations.
20
STABILITY PROPERTIES IN NONLINEAR DISCRETE VOLTERRA EQUATIONS WITH UNBOUNDED DELAY
Choi, Sung Kyu ; Kim, Yunhee ; Koo, Namjip ; Yun, Chanmi ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 197~211
DOI : 10.14403/jcms.2013.26.1.197
Abstract
We study some stability properties in discrete Volterra equations by employing to change Yoshizawa's results in [13] for the nonlinear equations into results for the nonlinear discrete Volterra equations with unbounded delay.
21
GALOIS ACTIONS OF A CLASS INVARIANT OVER QUADRATIC NUMBER FIELDS WITH DISCRIMINANT D≡64(mod72)
Jeon, Daeyeol ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 213~219
DOI : 10.14403/jcms.2013.26.1.213
Abstract
A class invariant is the value of a modular function that generates a ring class field of an imaginary quadratic number field such as the singular moduli of level 1. In this paper, we compute the Galois actions of a class invariant from a generalized Weber function
over imaginary quadratic number fields with discriminant
.
22
MINIMAL QUASI-F COVERS OF vX
Kim, ChangIl ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 221~229
DOI : 10.14403/jcms.2013.26.1.221
Abstract
We show that if X is a space such that
and each stable
-ultrafilter has the countable intersection property, then there is a homeomorphism
with
. Moreover, if
and
or
, then
.
23
CERTAIN RESULTS ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS
Seo, Jong Jin ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 231~242
DOI : 10.14403/jcms.2013.26.1.231
Abstract
In this work, we deal with
-Genocchi numbers and polynomials. We derive not only new but also interesting properties of the
-Genocchi numbers and polynomials. Also, we give Cauchy-type integral formula of the
-Genocchi polynomials and derive distribution formula for the
-Genocchi polynomials. In the final part, we introduce a definition of
-Zeta-type function which is interpolation function of the
-Genocchi polynomials at negative integers which we express in the present paper.
24
SOME APPLICATIONS OF MATHEMATICAL RESISTANCE
Chung, Bo-Hyun ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 243~248
DOI : 10.14403/jcms.2013.26.1.243
Abstract
In this paper, we introduce the mathematical resistance and examine its properties and consider the applications of mathematical resistance to conformal mappings. We obtain the theorems in the connection with "the mathematical resistance zero" and "the fundamental sequences".
25
CATEGORY OF MAPS AND GOTTLIEB SETS FOR MAPS, AND THEIR DUALS
Yoon, Yeon Soo ;
Journal of the Chungcheong Mathematical Society , volume 26, issue 1, 2013, Pages 249~257
DOI : 10.14403/jcms.2013.26.1.249
Abstract
In this paper, we introduce and study the concepts of
-spaces with respect to spaces which are generalized concepts of
-spaces for maps, and introduce the dual concepts of
-spaces with respect to spaces and obtain some dual results.