Open AccessApplications of Lacunary Sequences to Develop Fuzzy Sequence Spaces for Ideal Convergence and Orlicz Function
Author(s) -
Kuldip Raj,
S. A. Mohiuddine
Publication year - 2020
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v13i5.3708
Subject(s) - mathematics , lacunary function , ideal (ethics) , sequence (biology) , monotone polygon , convergence (economics) , birnbaum–orlicz space , topological space , limit of a sequence , pure mathematics , maximal ideal , discrete mathematics , function (biology) , sequence space , algebraic number , interpolation space , mathematical analysis , functional analysis , banach space , limit (mathematics) , philosophy , economic growth , chemistry , biology , genetics , biochemistry , geometry , epistemology , evolutionary biology , economics , gene
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.