GENERALIZATION OF SOME TYPES OF DIFFERENCE
SEQUENCE SPACE BY I-CONVERGENCE
José Sanabria1, Eduin Rodríguez2, Judith Bermúdez3
1Universidad de Sucre
Sincelejo, COLOMBIA, 700001
2Universidad del Atlántico
Barranquilla, COLOMBIA, 081001
3Universidad del Atlántico
Barranquilla, COLOMBIA, 081001

Abstract

The purpose of this paper is to use the notions of I-convergence of sequences and a Musielak-Orlicz function, as well as a sequence of modulus functions, to study certain difference sequence spaces, which are generalizations of the spaces investigated in [#!RajK!#]. Among other results, we investigated some algebraic and topological properties of these spaces. Moreover, we establish some inclusion relationships between these spaces under certain conditions on the mathematical tools that define them.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 1
Year: 2022

DOI: 10.12732/ijam.v35i1.2

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