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Applications of Lacunary Sequences to Develop Fuzzy Sequence Spaces for Ideal Convergence and Orlicz Function
Journal article   Open access  Peer reviewed

Applications of Lacunary Sequences to Develop Fuzzy Sequence Spaces for Ideal Convergence and Orlicz Function

Kuldip Raj and S. A. Mohiuddine
European journal of pure and applied mathematics, Vol.13(5), pp.1131-1148
2021

Abstract

In the present paper, we introduce and study ideal convergence of some fuzzy sequence spaces via lacunary sequence, infinite matrix and Orlicz function. We study some topological and algebraic properties of these spaces. We also make an effort to show that these spaces are normal as well as monotone. Further, it is very interesting to show that if $I$ is not maximal ideal then these spaces are not symmetric.
url
https://doi.org/10.29020/nybg.ejpam.v13i5.3708View
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