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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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/613501 |
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| _version_ | 1849307986524110848 |
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| author | Vakeel A. Khan Khalid Ebadullah Ayhan Esi Nazneen Khan Mohd Shafiq |
| author_facet | Vakeel A. Khan Khalid Ebadullah Ayhan Esi Nazneen Khan Mohd Shafiq |
| author_sort | Vakeel A. Khan |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-1f9fc6b8b09447eaaeafb2415a36e204 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1f9fc6b8b09447eaaeafb2415a36e2042025-08-20T03:54:34ZengWileyJournal 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 |
| spellingShingle | Vakeel A. Khan Khalid Ebadullah Ayhan Esi Nazneen Khan Mohd Shafiq On Paranorm Zweier -Convergent Sequence Spaces Journal of Mathematics |
| title | 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_short | On Paranorm Zweier -Convergent Sequence Spaces |
| title_sort | on paranorm zweier convergent sequence spaces |
| url | http://dx.doi.org/10.1155/2013/613501 |
| work_keys_str_mv | AT vakeelakhan onparanormzweierconvergentsequencespaces AT khalidebadullah onparanormzweierconvergentsequencespaces AT ayhanesi onparanormzweierconvergentsequencespaces AT nazneenkhan onparanormzweierconvergentsequencespaces AT mohdshafiq onparanormzweierconvergentsequencespaces |