Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function
In the present paper we introduced the ideal convergence of generalized difference sequence spaces combining de La Vallée-Poussin mean and Musielak-Orlicz function over n-normed spaces. We also study some topological properties and inclusion relation between these spaces.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/972363 |
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| author | Awad A. Bakery Elsayed Abdelbayen Elnour Mohamed Mohamed Alamin Ahmed |
| author_facet | Awad A. Bakery Elsayed Abdelbayen Elnour Mohamed Mohamed Alamin Ahmed |
| author_sort | Awad A. Bakery |
| collection | DOAJ |
| description | In the present paper we introduced the ideal convergence of generalized difference sequence spaces combining de La Vallée-Poussin mean and Musielak-Orlicz function over n-normed spaces. We also study some topological properties and inclusion relation between these spaces. |
| format | Article |
| id | doaj-art-3553033f1afb4fc6b29cff5a22ce5d08 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3553033f1afb4fc6b29cff5a22ce5d082025-02-03T01:23:01ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/972363972363Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz FunctionAwad A. Bakery0Elsayed Abdelbayen Elnour Mohamed1Mohamed Alamin Ahmed2Department of Mathematics, Faculty of Science and Arts, King Abdulaziz University (KAU), P.O. Box 80200, Khulais 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science and Arts, King Abdulaziz University (KAU), P.O. Box 80200, Khulais 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science and Arts, King Abdulaziz University (KAU), P.O. Box 80200, Khulais 21589, Saudi ArabiaIn the present paper we introduced the ideal convergence of generalized difference sequence spaces combining de La Vallée-Poussin mean and Musielak-Orlicz function over n-normed spaces. We also study some topological properties and inclusion relation between these spaces.http://dx.doi.org/10.1155/2013/972363 |
| spellingShingle | Awad A. Bakery Elsayed Abdelbayen Elnour Mohamed Mohamed Alamin Ahmed Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function Abstract and Applied Analysis |
| title | Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function |
| title_full | Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function |
| title_fullStr | Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function |
| title_full_unstemmed | Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function |
| title_short | Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function |
| title_sort | some generalized difference sequence spaces defined by ideal convergence and musielak orlicz function |
| url | http://dx.doi.org/10.1155/2013/972363 |
| work_keys_str_mv | AT awadabakery somegeneralizeddifferencesequencespacesdefinedbyidealconvergenceandmusielakorliczfunction AT elsayedabdelbayenelnourmohamed somegeneralizeddifferencesequencespacesdefinedbyidealconvergenceandmusielakorliczfunction AT mohamedalaminahmed somegeneralizeddifferencesequencespacesdefinedbyidealconvergenceandmusielakorliczfunction |