Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences
The aim of the present paper is to introduce the spaces and of generalized difference sequences which generalize the paper due to Mursaleen and Noman (2010). These spaces are the BK-spaces of non-absolute type and norm isomorphic to the spaces and , respectively. Furthermore, we derive some inclu...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/435076 |
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| author | Abdulcabbar Sönmez Feyzi Başar |
| author_facet | Abdulcabbar Sönmez Feyzi Başar |
| author_sort | Abdulcabbar Sönmez |
| collection | DOAJ |
| description | The aim of the present paper is to introduce the spaces and of generalized difference sequences which generalize the paper due to Mursaleen and Noman (2010). These spaces are the BK-spaces of non-absolute type and norm isomorphic to the spaces and , respectively. Furthermore, we derive some inclusion relations determine the , , and duals of those spaces, and construct their Schauder bases. Finally, we characterize some matrix classes from the spaces , and to the spaces , , and c. |
| format | Article |
| id | doaj-art-c198623f5db749fb86a7234ac7d0ff8d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c198623f5db749fb86a7234ac7d0ff8d2025-02-03T01:09:33ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/435076435076Generalized Difference Spaces of Non-Absolute Type of Convergent and Null SequencesAbdulcabbar Sönmez0Feyzi Başar1Department of Mathematics, Faculty of Sciences, Erciyes University, Melikgazi, 38039 Kayseri, TurkeyDepartment of Mathematics, Faculty of Art and Sciences, Fatih University, The Hadımköy Campus, Büyükçekmece, 34500 İstanbul, TurkeyThe aim of the present paper is to introduce the spaces and of generalized difference sequences which generalize the paper due to Mursaleen and Noman (2010). These spaces are the BK-spaces of non-absolute type and norm isomorphic to the spaces and , respectively. Furthermore, we derive some inclusion relations determine the , , and duals of those spaces, and construct their Schauder bases. Finally, we characterize some matrix classes from the spaces , and to the spaces , , and c.http://dx.doi.org/10.1155/2012/435076 |
| spellingShingle | Abdulcabbar Sönmez Feyzi Başar Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences Abstract and Applied Analysis |
| title | Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences |
| title_full | Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences |
| title_fullStr | Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences |
| title_full_unstemmed | Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences |
| title_short | Generalized Difference Spaces of Non-Absolute Type of Convergent and Null Sequences |
| title_sort | generalized difference spaces of non absolute type of convergent and null sequences |
| url | http://dx.doi.org/10.1155/2012/435076 |
| work_keys_str_mv | AT abdulcabbarsonmez generalizeddifferencespacesofnonabsolutetypeofconvergentandnullsequences AT feyzibasar generalizeddifferencespacesofnonabsolutetypeofconvergentandnullsequences |