Some I-convergent sequence spaces defined by using sequence of moduli and n-normed space

Some I-convergent sequence spaces defined by using sequence of moduli and n-normed space

In the present paper we study some I-convergent sequence spaces defined by a sequence of modulus functions over n-normed spaces. We also examine some topological properties and prove some inclusion relations between these spaces.

Bibliographic Details
Main Authors: S.K. Sharma, Ayhan Esi
Format: Article
Language:English
Published: SpringerOpen 2013-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Lacunary sequence
Difference sequence space
Modulus function
Ideal convergence
n-Normed space
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X13000072
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spelling doaj-b8a7be23e2834253a8e7e7badb3e34c12020-11-25T01:44:33ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2013-07-0121210310710.1016/j.joems.2013.01.005Some I-convergent sequence spaces defined by using sequence of moduli and n-normed spaceS.K. SharmaAyhan EsiIn the present paper we study some I-convergent sequence spaces defined by a sequence of modulus functions over n-normed spaces. We also examine some topological properties and prove some inclusion relations between these spaces.http://www.sciencedirect.com/science/article/pii/S1110256X13000072Lacunary sequenceDifference sequence spaceModulus functionIdeal convergencen-Normed space
collection DOAJ
language English
format Article
sources DOAJ
author S.K. Sharma
Ayhan Esi
spellingShingle S.K. Sharma
Ayhan Esi
Some I-convergent sequence spaces defined by using sequence of moduli and n-normed space
Journal of the Egyptian Mathematical Society
Lacunary sequence
Difference sequence space
Modulus function
Ideal convergence
n-Normed space
author_facet S.K. Sharma
Ayhan Esi
author_sort S.K. Sharma
title Some I-convergent sequence spaces defined by using sequence of moduli and n-normed space
title_short Some I-convergent sequence spaces defined by using sequence of moduli and n-normed space
title_full Some I-convergent sequence spaces defined by using sequence of moduli and n-normed space
title_fullStr Some I-convergent sequence spaces defined by using sequence of moduli and n-normed space
title_full_unstemmed Some I-convergent sequence spaces defined by using sequence of moduli and n-normed space
title_sort some i-convergent sequence spaces defined by using sequence of moduli and n-normed space
publisher SpringerOpen
series Journal of the Egyptian Mathematical Society
issn 1110-256X
publishDate 2013-07-01
description In the present paper we study some I-convergent sequence spaces defined by a sequence of modulus functions over n-normed spaces. We also examine some topological properties and prove some inclusion relations between these spaces.
topic Lacunary sequence
Difference sequence space
Modulus function
Ideal convergence
n-Normed space
url http://www.sciencedirect.com/science/article/pii/S1110256X13000072
work_keys_str_mv AT sksharma someiconvergentsequencespacesdefinedbyusingsequenceofmoduliandnnormedspace
AT ayhanesi someiconvergentsequencespacesdefinedbyusingsequenceofmoduliandnnormedspace
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