On Fuzzy Modular Spaces-Reference-Cited by-同舟云学术

On Fuzzy Modular Spaces

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Shen Yonghong¹²,Chen Wei³

Affiliation:

1. School of Mathematics, Beijing Institute of Technology, Beijing 100081, China

2. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China

3. School of Information, Capital University of Economics and Business, Beijing 100070, China

Abstract

The concept of fuzzy modular space is first proposed in this paper. Afterwards, a Hausdorff topology induced by aβ-homogeneous fuzzy modular is defined and some related topological properties are also examined. And then, several theorems onμ-completeness of the fuzzy modular space are given. Finally, the well-known Baire’s theorem and uniform limit theorem are extended to fuzzy modular spaces.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2013/576237.pdf

Reference20 articles.

1. On modular spaces

2. Analyticity and polynomial approximation in modular function spaces

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