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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 22, Issue 4 - Dec 2009
Volume 22, Issue 3 - Sep 2009
Volume 22, Issue 2 - Jun 2009
Volume 22, Issue 1 - Mar 2009
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1
A CHARACTERIZATION OF GAMMA DISTRIBUTION BY INDEPENDENT PROPERTY
Lee, Min-Young ; Lim, Eun-Hyuk ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 1~5
Abstract
Let {
, n
1} be a sequence of independent identically distributed(i.i.d.) sequence of positive random variables with common absolutely continuous distribution function(cdf) F(x) and probability density function(pdf) f(x) and
<
. The random variables
and
are independent for 1
i < j
n if and only if {
, n
1} have gamma distribution.
2
ON A GENERALIZED UPPER BOUND FOR THE EXPONENTIAL FUNCTION
Kim, Seon-Hong ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 7~10
Abstract
With the introduction of a new parameter n
1, Kim generalized an upper bound for the exponential function that implies the inequality between the arithmetic and geometric means. By a change of variable, this generalization is equivalent to exp
for real
and
> 0. In this paper, we show that this inequality is true for real
> 1 -
provided that n is an even integer.
3
ON A VARIATIONAL INEQUALITY WITH
-CONCAVITY
Kim, Won-Kyu ; Lee, Kyoung-Hee ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 11~16
Abstract
In this paper, using the diagonally
-concave condition, we will prove a functional inequality in a topological space, and as an application, we can obtain a new variational inequality.
4
THAINE'S THEOREM IN FUNCTION FIELD
Jung, Hwan-Yup ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 17~23
Abstract
Let F be a finite real abelian extension of a global function field k with G = Gal(F/k). Assume that F is an extension field of the Hilbert class field
of k and is contained in a cyclotomic function field
. Let
be any prime number not dividing
. In this paper, we show that if
annihilates the Sylow
-subgroup of
, then (q−1)
annihilates the Sylow
-subgroup of
.
5
ON SOME CHRACTERIZATIONS OF THE WEIBULL DISTRIBUTION
Chang, Se-Kyung ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 25~30
Abstract
In this paper, we establish some characterizations which is satisfied by the independence of the upper record values from the Weibull distribution. One characterization of several results is that X
W E I(1,
),
> 0, if and only if
and
, 1
m < n are independent.
6
STABILITY OF A SYSTEM OF FUNCTIONAL EQUATIONS ON JENSEN-QUADRATIC MAPPINGS
Kim, Kwang-Hwan ; Bae, Jae-Hyeong ; Park, Won-Gil ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 31~37
Abstract
In this paper, we obtain the generalized Hyers-Ulam stability of a functional equation and a system of functional equations on Jensen-quadratic mappings.
7
'-SEQUENCE OF A MAP
Yoon, Yeon-Soo ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 39~47
Abstract
Pan, Shen and Woo [8] introduced the concept of the
-sequence of a map. We introduce the
'-sequence of a map, which is a dual concept of the
-sequence of a map. We obtain some suffcient conditions for the all sets in the
'-sequence of a map are groups ,and for the exact
'-sequence of a map.
8
ON RETARDED INTEGRAL INEQUALITIES OF BIHARI-TYPE
Choi, Sung-Kyu ; Choi, Tae-Young ; Kim, Dae-Jung ; Koo, Nam-Jip ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 49~63
Abstract
We obtain some retarded integral inequalities of Bihari-type and apply these results to a retarded differential equation of Bernoulli-type.
9
CHARACTERIZATION ON 2-ISOMETRIES IN NON-ARCHIMEDEAN 2-NORMED SPACES
Choy, Jae-Yoo ; Ku, Se-Hyun ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 65~71
Abstract
Let
be an 2-isometry on a non-Archimedean 2-normed space. In this paper, we prove that the barycenter of triangle is invariant for
up to the translation by
(0), in this case, needless to say, we can imply naturally the Mazur-Ulam theorem in non-Archimedean 2-normed spaces.
10
TOPOLOGICAL CLASSIFICATION OF
SETS OF HOLOMORPHIC FLOWS ON
Choy, Jae-Yoo ; Chu, Hahng-Yun ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 73~80
Abstract
This paper aims to study local and global structure of holomorphic flows on
. At a singular point of a holomorphic flow, we locally sector the flow into parabolic or elliptic types. By the local structure of holomorphic flows, we classify all the possible types of topologies of
-limit sets.
11
-STABILITY IN CERTAIN INTEGRO-DIFFERENTIAL EQUATIONS
Goo, Yoon-Hoe ; Ji, Myeong-Hee ; Ry, Dae-Hee ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 81~88
Abstract
In this paper, we investigate
-stability for the nonlinear Volterra integro-differential equations and the functional integro-differential equations.
12
ON SOME MEASURE RELATED WITH POISSON INTEGRAL ON THE UNIT BALL
Yang, Gye-Tak ; Choi, Ki-Seong ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 89~99
Abstract
Let
be a finite positive Borel measure on the unit ball B
and
be the Euclidean volume measure such that
= 1. For the unit sphere S = {z :
= 1},
is the rotation-invariant measure on S such that
= 1. Let
[f] be the invariant Poisson integral of f. We will show that there is a constant M > 0 such that
M
for all
if and only if $\parallel\mu\parallel_r\;=\;sup_{z{\in}B}\;\frac{\mu(E(z,r))}{\nu(E(z,r))}\;<\;\infty$.
13
REFINED HYERS-ULAM STABILITY FOR JENSEN TYPE MAPPINGS
Rassias, John Michael ; Lee, Ju-Ri ; Kim, Hark-Mahn ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 101~116
Abstract
In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings. In this paper we improve results for Jensen type mappings and establish new theorems about the Ulam stability of additive and alternative Jensen type mappings.
14
RESOLVENT INEQUALITY OF LAPLACIAN IN BESOV SPACES
Han, Hyuk ; Pak, Hee-Chul ;
Journal of the Chungcheong Mathematical Society , volume 22, issue 1, 2009, Pages 117~121
Abstract
For 1
p, q
and s
, it is proved that there exists a constant C > 0 such that for any
, which tells us that the operator I -
is
-coercive on the Besov space
.