On paranormed ideal convergent generalized difference strongly summable sequence spaces defined over \(n\)-normed spaces
type: Item
instance of: scholarly article
title: On paranormed ideal convergent generalized difference strongly summable sequence spaces defined over \(n\)-normed spaces
zbMATH Open document ID: 1239.46003
DOI: 10.5402/2011/317423
author: Bipan Hazarika
published in: ISRN Mathematical Analysis
publication date: 2011-10-27T00:00:00Z
review text: Summary: We introduce a new class of ideal convergent (shortly \(I\)-convergent) sequence spaces using an Orlicz function and difference operator of order \(s \geq 1\) defined over the \(n\)-normed spaces. We investigate these spaces for some linear topological structures. These investigations will enhance the acceptability of the notion of \(n\)-norm by giving a way to construct different sequence spaces with elements in \(n\)-normed spaces. We also give some relations related to these sequence spaces.
Mathematics Subject Classification ID: 46A45
zbMATH DE Number: 5964481
Wikidata QID: Q58689223
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2011/317423
OpenAlex ID: W1981519140
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description: scientific article; zbMATH DE number 5964481