scispace - formally typeset
Search or ask a question
JournalISSN: 0304-9914

Journal of The Korean Mathematical Society 

Korean Mathematical Society
About: Journal of The Korean Mathematical Society is an academic journal. The journal publishes majorly in the area(s): Banach space & Nonlinear system. It has an ISSN identifier of 0304-9914. It is also open access. Over the lifetime, 1783 publications have been published receiving 12947 citations.


Papers
More filters
Journal Article
TL;DR: In this paper, the authors studied fractional integra- tion and dierentiation on a finite interval (a;b) of the real axis in the frame of Hadamard setting.
Abstract: The paper is devoted to the study of fractional integra- tion and dierentiation on a finite interval ( a;b) of the real axis in the frame of Hadamard setting The constructions under consider- ation generalize the modified integration R x a (t=x) " f(t)dt=t and the modified dierentiation - +" (- = xD; D = d=dx) with real ", be- ing taken n times Conditions are given for such a Hadamard-type fractional integration operator to be bounded in the space X p c(a;b) of Lebesgue measurable functions f on R+ = (0;1) such that Z b a jt c f(t)j p dt t < 1 (1 • p < 1); ess supatb(u c jf(t)j) < 1 (p = 1); for c 2 R = (i1;1), in particular in the space L p (0;1) (1 • p • 1) The existence almost everywhere is established for the corresponding Hadamard-type fractional derivative for a function g(x) such that x " g(x) have - derivatives up to order n i 1 on (a;b) and - ni1 (x " g(x)) is absolutely continuous on (a;b) Semigroup and reciprocal properties for the above operators are proved

263 citations

Journal Article
TL;DR: In this paper, it was shown that a non-empty separable metrizable space X admits a totally bounded metric for which the metric dimension of X in Assouad's sense equals the topological dimension X, which leads to a characterization for the latter.
Abstract: We prove that a non-empty separable metrizable space X admits a totally bounded metric for which the metric dimension of X in Assouad's sense equals the topological dimension of X, which leads to a characterization for the latter. We also give a characterization based on this Assouad dimension for the demension (embedding dimension) of a compact set in a Euclidean space. We discuss Assouad dimension and these results in connection with porous sets and measures with the doubling property. The elementary properties of Assouad dimension are proved in an appendix.

221 citations

Journal Article
TL;DR: In this paper, a demi-closed theorem and some weak conver- gence theorems of iterative sequences for asymptotically nonexpan-sive and nonexpansive mappings in Banach spaces are obtained.
Abstract: A demi-closed theorem and some new weak conver- gence theorems of iterative sequences for asymptotically nonexpan- sive and nonexpansive mappings in Banach spaces are obtained. The results presented in this paper improve and extend the corre- sponding results of (1), (8)-(10), (12), (13), (15), (16), and (18).

121 citations

Journal Article
TL;DR: In this article, the Hyers-Ulam stability of the quadratic functional equation of Pexider type has been shown for f1(x + y) + f2(x y) = f3(x) + y + f4(y).
Abstract: In this paper, we will prove the Hyers-Ulam stability of the quadratic functional equation of Pexider type, f1(x + y) + f2(x y) = f3(x) + f4(y).

104 citations

Network Information
Related Journals (5)
Pacific Journal of Mathematics
10.5K papers, 213.8K citations
82% related
Michigan Mathematical Journal
2.6K papers, 52.5K citations
79% related
Journal of The Mathematical Society of Japan
3.2K papers, 59.9K citations
78% related
Journal of Mathematical Analysis and Applications
30.2K papers, 600.5K citations
78% related
Nonlinear Analysis-theory Methods & Applications
13.8K papers, 277.5K citations
77% related
Performance
Metrics
No. of papers from the Journal in previous years
YearPapers
202125
202054
201940
201825
201765
201678