A CONNECTION BETWEEN INFINITE MATRIX AND SEMINORM TO ORIGINATE ORLICZ VECTOR VALUED SEQUENCE SPACES AND THEIR STATISTICAL CONVERGENCE

TitleA CONNECTION BETWEEN INFINITE MATRIX AND SEMINORM TO ORIGINATE ORLICZ VECTOR VALUED SEQUENCE SPACES AND THEIR STATISTICAL CONVERGENCE
Publication TypeJournal Article
Year of Publication2018
AuthorsRAJ, KULDIP, SHARMA, CHARU
Volume22
Issue2
Start Page163
Pagination24
Date Published2018
ISSN1083-2564
AMS40A05, 40A35, 46C45
Abstract

In the present paper we introduce and study some vector valued sequence spaces by using infinite matrix, seminorm and a sequence of Orlicz functions with real n-normed space as base space. We make an effort to study some topological and algebraic properties of these spaces. We also show that these spaces are complete paranormed spaces when the base space is n-Banach space and investigate some inclusion relations between the spaces. Finally, we study statistical convergence of these spaces.
URLhttps://acadsol.eu/en/articles/22/2/3.pdf
DOI10.12732/caa.v22i2.3
Refereed DesignationRefereed
Full Text

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