Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n-Normed Spaces
We introduce some new generalized difference sequence spaces by means of ideal convergence, infinite matrix, and a sequence of modulus functions over n-normed spaces. We also make an effort to study several properties relevant to topological, algebraic, and inclusion relations between these spaces.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/413850 |
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| _version_ | 1849695795418234880 |
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| author | Abdullah Alotaibi Kuldip Raj S. A. Mohiuddine |
| author_facet | Abdullah Alotaibi Kuldip Raj S. A. Mohiuddine |
| author_sort | Abdullah Alotaibi |
| collection | DOAJ |
| description | We introduce some new generalized difference sequence spaces by means of ideal convergence, infinite matrix, and a sequence of modulus functions over n-normed spaces. We also make an effort to study several properties relevant to topological, algebraic, and inclusion relations between these spaces. |
| format | Article |
| id | doaj-art-ce80cbb67ab64c28b668d61eebba9210 |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ce80cbb67ab64c28b668d61eebba92102025-08-20T03:19:39ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/413850413850Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n-Normed SpacesAbdullah Alotaibi0Kuldip Raj1S. A. Mohiuddine2Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaSchool of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir 182320, IndiaOperator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe introduce some new generalized difference sequence spaces by means of ideal convergence, infinite matrix, and a sequence of modulus functions over n-normed spaces. We also make an effort to study several properties relevant to topological, algebraic, and inclusion relations between these spaces.http://dx.doi.org/10.1155/2015/413850 |
| spellingShingle | Abdullah Alotaibi Kuldip Raj S. A. Mohiuddine Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n-Normed Spaces Journal of Function Spaces |
| title | Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n-Normed Spaces |
| title_full | Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n-Normed Spaces |
| title_fullStr | Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n-Normed Spaces |
| title_full_unstemmed | Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n-Normed Spaces |
| title_short | Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli in n-Normed Spaces |
| title_sort | some generalized difference sequence spaces defined by a sequence of moduli in n normed spaces |
| url | http://dx.doi.org/10.1155/2015/413850 |
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