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The Pure and Applied Mathematics
Journal Basic Information
pISSN :
1226-0657
eISSN :
2287-6081
Journal DOI :
10.7468/jksmeb
Frequency :
Others
Publisher:
Korea Society of Mathematical Education
Editor in Chief :
Moon-Ja Jeong
Volume & Issues
Volume 16, Issue 4 - Nov 2009
Volume 16, Issue 3 - Aug 2009
Volume 16, Issue 2 - May 2009
Volume 16, Issue 1 - Feb 2009
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1
A NOTE ON DIFFERENCE SEQUENCES
Park, Jin-Woo ;
The Pure and Applied Mathematics, volume 16, issue 3, 2009, Pages 255~258
Abstract
It is well known that for a sequence a = (
,...) the general term of the dual sequence of a is
, where c = (
is the dual sequence of a. In this paper, we find the general term of the sequence (
,... ) and give another method for finding the inverse matrix of the Pascal matrix. And we find a simple proof of the fact that if the general term of a sequence a = (
,... ) is a polynomial of degree p in n, then
.
2
INTUITIONISTIC FUZZY MINIMAL SPACES
Min, Won-Keun ;
The Pure and Applied Mathematics, volume 16, issue 3, 2009, Pages 259~269
Abstract
We introduce the concept of intuitionistic fuzzy minimal structure which is an extension of the intuitionistic fuzzy topological space. And we introduce and study the concepts of intuitionistic fuzzy M -continuity, intuitionistic fuzzy Mopen mappings and several types of intuitionistic fuzzy minimal compactness on intuitionistic fuzzy minimal spaces.
3
SCREEN CONFORMAL LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM
Jin, Dae-Ho ;
The Pure and Applied Mathematics, volume 16, issue 3, 2009, Pages 271~276
Abstract
We study the geometry of screen conformal light like hypersurfaces M of a semi- Riemannian manifold M. The main result is a characterization theorem for screen conformal lightlike hypersurfaces of a semi-Riemannian space form.
4
ON SPECTRA OF 2-ISOMETRIC OPERATORS
Yang, Young-Oh ; Kim, Cheoul-Jun ;
The Pure and Applied Mathematics, volume 16, issue 3, 2009, Pages 277~281
Abstract
A Hilbert space operator T is a 2-isometry if
= O. We shall study some properties of 2-isometries, in particular spectra of a non-unitary 2-isometry and give an example. Also we prove with alternate argument that the Weyl's theorem holds for 2-isometries.
5
ON THE GALOIS GROUP OF ITERATE POLYNOMIALS
Choi, Eun-Mi ;
The Pure and Applied Mathematics, volume 16, issue 3, 2009, Pages 283~296
Abstract
Let f(x) =
be a binomial polynomial in Z[x] and
be the m-th iterate of f(x). In this work we study a necessary condition to be the Galois group of
is isomorphic to a wreath product group
where
is a cyclic group of order n.
6
GENERALIZED HYERS-ULAM STABILITY OF ADDITIVE FUNCTIONAL EQUATIONS
Kim, Hark-Mahn ; Son, Eun-Yonug ;
The Pure and Applied Mathematics, volume 16, issue 3, 2009, Pages 297~306
Abstract
In this paper, we obtain the general solution and the generalized HyersUlam stability theorem for an additive functional equation
for any fixed integer a.
7
AN IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF STRONGLY PSEUDOCONTRACTIVE MAPPINGS
Raflq, Arif ; Lee, Byung-Soo ;
The Pure and Applied Mathematics, volume 16, issue 3, 2009, Pages 307~314
Abstract
The purpose of this paper is to establish a strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of continuous strongly pseudocontractive mappings. The results presented in this paper extend and improve the corresponding results of References [2, 6, 11-12].
8
ON THE DEBREU INTEGRAL OF FUZZY MAPPINGS IN BANACH SPACES
Park, Chun-Kee ;
The Pure and Applied Mathematics, volume 16, issue 3, 2009, Pages 315~326
Abstract
In this paper, we introduce Debreu integral of fuzzy mappings in Banach spaces in terms of the Debreu integral of set-valued mappings, investigate properties of Debreu integral of fuzzy mappings in Banach spaces and obtain the convergence theorem for Debreu integral of fuzzy mappings in Banach spaces.