On Paranorm Zweier -Convergent Sequence Spaces

In this paper, we introduce the paranorm Zweier -convergent sequence spaces , , and , a sequence of positive real numbers. We study some topological properties, prove the decomposition theorem, and study some inclusion relations on these spaces.

Bibliographic Details
Main Authors: Vakeel A. Khan, Khalid Ebadullah, Ayhan Esi, Nazneen Khan, Mohd Shafiq
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/613501
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spelling doaj-1f9fc6b8b09447eaaeafb2415a36e2042020-11-25T00:15:23ZengHindawi LimitedJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/613501613501On Paranorm Zweier -Convergent Sequence SpacesVakeel A. Khan0Khalid Ebadullah1Ayhan Esi2Nazneen Khan3Mohd Shafiq4Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, University of Adiyaman, Altinsehir, 02040 Adiyaman, TurkeyDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaIn this paper, we introduce the paranorm Zweier -convergent sequence spaces , , and , a sequence of positive real numbers. We study some topological properties, prove the decomposition theorem, and study some inclusion relations on these spaces.http://dx.doi.org/10.1155/2013/613501
collection DOAJ
language English
format Article
sources DOAJ
author Vakeel A. Khan
Khalid Ebadullah
Ayhan Esi
Nazneen Khan
Mohd Shafiq
spellingShingle Vakeel A. Khan
Khalid Ebadullah
Ayhan Esi
Nazneen Khan
Mohd Shafiq
On Paranorm Zweier -Convergent Sequence Spaces
Journal of Mathematics
author_facet Vakeel A. Khan
Khalid Ebadullah
Ayhan Esi
Nazneen Khan
Mohd Shafiq
author_sort Vakeel A. Khan
title On Paranorm Zweier -Convergent Sequence Spaces
title_short On Paranorm Zweier -Convergent Sequence Spaces
title_full On Paranorm Zweier -Convergent Sequence Spaces
title_fullStr On Paranorm Zweier -Convergent Sequence Spaces
title_full_unstemmed On Paranorm Zweier -Convergent Sequence Spaces
title_sort on paranorm zweier -convergent sequence spaces
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2013-01-01
description In this paper, we introduce the paranorm Zweier -convergent sequence spaces , , and , a sequence of positive real numbers. We study some topological properties, prove the decomposition theorem, and study some inclusion relations on these spaces.
url http://dx.doi.org/10.1155/2013/613501
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AT ayhanesi onparanormzweierconvergentsequencespaces
AT nazneenkhan onparanormzweierconvergentsequencespaces
AT mohdshafiq onparanormzweierconvergentsequencespaces
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