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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Volume & Issues
Volume 16, Issue 4 - Oct 2001
Volume 16, Issue 3 - Jul 2001
Volume 16, Issue 2 - Apr 2001
Volume 16, Issue 1 - Jan 2001
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1
Erdos-Renyi 법칙과 Gauss 과정의 극한이론
;
;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 163~204
Abstract
2
ON p-GROUPS OF ORDER
Kim, Seon-Ok ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 205~210
Abstract
In this paper we will determine Schur multipliers of some finite p-groups of order p
.
3
MODIFIED HYERS-ULAM-RASSIAS STABILITY OF FUNCTIONAL EQUATIONS WITH SQUARE-SYMMETRIC OPERATION
Kim, Gwang-Hui ; Lee, Young-Whan ; Ji, Kyoung-Shin ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 211~223
Abstract
In this paper, we obtain the modified Hyers-Ulam-Rassias stability for the family of the functional equation f(x o y) = H(f(x)(sup)1/t, f(y)(sup)1/t)(x,y)
S), where H is a s homogeneous function of degree t and o is a square-symmetric operation on the set S.
4
THE ENERGY INEQUALITY OF A QUASILINEAR HYPERBOLIC MIXED PROBLEM
Kang, Seong-Joo ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 225~233
Abstract
In this paper, we establish the energy inequalities for second order quasilinear hyperbolic mixed problems in the domain R_(sup)n.
5
ON THE JOINT WEYL AND BROWDER SPECTRA OF HYPONORMAL OPERTORS
Lee, Young-Yoon ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 235~241
Abstract
In this paper we study some properties of he joint Weyl and Browder spectra for the slightly larger classes containing doubly commuting n-tuples of hyponormal operators.
6
ON RECURRENT SPACE-LIKE COMPLEX HYPERSURFACES OF A SEMI-DEFINITE COMPLEX SPACE FORM
Kwon, Jung-Hwan ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 243~252
Abstract
The purpose of this paper is to study some properties of n-dimensional recurrent space-like complex hypersurfaces in an (n+1)-dimensional semi-definite complex space form M(sub)0+t(sup)n+1 (c), t = 0 or 1, c
0.
7
SOME PROBLEMS ON 3-DIMENSIONAL REAL HYPERSURFACES IN COMPLEX SPACE FORMS
Kim, Un-Kyu ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 253~263
Abstract
Niebergall and Ryan posed some open questions on 3-dimensional real hypersurfaces in complex space forms. In this paper we give affirmative answers to such kind of questions.
8
SOME CURVATURE CONDITIONS OF n-DIMENSIONAL CR-SUBMANIFOLDS OF (n-1) CR-DIMENSION IN A COMPLEX PROJECTIVE SPACE II
Sohn, Won-Ho ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 265~275
Abstract
In the previous paper we studied n-dimensional CR-submanifolds of (n-1) CR-dimension immersed in a complex projective space CP(sup)(n+p)/2, and especially determined such submanifolds under curvature conditions related to vertical direction; In the present article we determine such submanifolds under curvature conditions related to horizontal directions.
9
A PROOF OF A CONVEX-VALUED SELECTION THEOREM WITH THE CODOMAIN OF A FRECHET SPACE
Cho, Myung-Hyun ; Kim, Jun-Hui ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 277~285
Abstract
The purpose of this paper is to give a proof of a generalized convex-valued selection theorem which is given by weakening a Banach space to a completely metrizable locally convex topological vector space, i.e., a Frechet space. We also develop the properties of upper semi-continuous singlevalued mapping to those of upper semi-continuous multivalued mappings. These properties wil be applied in our further consideraations of selection theorems.
10
ON A CHARACTERIZATION OF THE EXPONENTIAL DISTRIBUTION BY CONDITIONAL EXPECTATIONS OF RECORD VALUES
Lee, Min-Young ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 287~290
Abstract
Let X
, X
, … be a sequence of independent and identically distributed random variables with continuous cumulative distribution function F(x). X(sub)j is an upper record value of this sequence if X(sub)j > max {X
, X
, …, X(sub)j-1}. We define u(n) = min {j│j > u(n-1), X(sub)j > X(sub)u(n-1), n
2} with u(1) = 1. Then F(x) = 1 - e(sup)-x/c, x > 0 if and only if E[X(sub)n(n+1) - X(sub)u(n)│X(sub)u(m) = y] = c or E[X(sub)u(n+2) - X(sub)u(n)│X(sub)u(m) = y] = 2c, n
m+1.
11
ON THE WEAK LAW FOR RANDOMLY INDEXED PARTIAL SUMS FOR ARRAYS
Hong, Dug-Hun ; Sung, Soo-Hak ; Andrei I.Volodin ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 291~296
Abstract
For randomly indexed sums of the form (Equation. See Full-text), where {X(sub)ni, i
1, n
1} are random variables, {N(sub)n, n
1} are suitable conditional expectations and {b(sub)n, n
1} are positive constants, we establish a general weak law of large numbers. Our result improves that of Hong [3].
12
A PARTIAL ORDERING OF CONDITIONALLY POSITIVE QUADRANT DEPENDENCE
Baek, Jong-Il ; Choi, Jeong-Yeol ; Park, Chun-Ho ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 297~308
Abstract
A partial ordering is developed here among conditionally positive quadrant dependent (CPQD) bivariate random vectors. This permits us to measure the degree of CPQD-ness and to compare pairs of CPQD random vectors. Some properties and closure under certain statistical operations are derived.
13
NEAR ROTATIONAL DIRECTED TRIPLE SYSTEMS
Cho, Chung-Je ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 309~317
Abstract
A directed triple system of order ν, denoted by DTS(ν), is said to be
-near rotational if it admits an automorphism consisting of exactly three fixed elements and
cycles of length (ν-3)/
. In this paper, we obtain necessary and sufficient conditions for the existence of
-near rotational DTS(ν)s for every positive integer
.
14
APPLICATION OF A CERTAIN FAMILY OF HYPERGEOMETRIC SUMMATION FORMULAS ASSOCIATED WITH PSI AND ZETA FUNCTIONS
Choi, June-Sang ; H.M.Srivastava ; Kim, Yong-Sup ;
Communications of the Korean Mathematical Society, volume 16, issue 2, 2001, Pages 319~332
Abstract
The main object of this paper is first to give tow contiguous analogues of a well-known hypergeometric summation formula for
F
(1/2). We then apply each of these analogues with a view to evaluating the sums of several classes of series in terms of Psi(or Digamma) and the Zeta functions. Relevant connections of the series identities presented here with those given elsewhere are also pointed out.