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.
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Series: | Journal of Mathematics |
Online Access: | http://dx.doi.org/10.1155/2013/613501 |
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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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1725387146887430144 |