Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces
We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong (A)-convergence, where A=(aik) is an infinite matrix of complex numbers. We also make an effort to study some topological properties and some inclusion relations...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/858504 |
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| author | M. Mursaleen A. Alotaibi Sunil K. Sharma |
| author_facet | M. Mursaleen A. Alotaibi Sunil K. Sharma |
| author_sort | M. Mursaleen |
| collection | DOAJ |
| description | We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong (A)-convergence, where A=(aik) is an infinite matrix of complex numbers. We also make an effort to study some topological properties and some inclusion relations between these spaces. |
| format | Article |
| id | doaj-art-899718f86ead48ac920e004c6bb6970e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-899718f86ead48ac920e004c6bb6970e2025-02-03T01:22:35ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/858504858504Some New Lacunary Strong Convergent Vector-Valued Sequence SpacesM. Mursaleen0A. Alotaibi1Sunil K. Sharma2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Model Institute of Engineering & Technology, Kot Bhalwal 181122, IndiaWe introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong (A)-convergence, where A=(aik) is an infinite matrix of complex numbers. We also make an effort to study some topological properties and some inclusion relations between these spaces.http://dx.doi.org/10.1155/2014/858504 |
| spellingShingle | M. Mursaleen A. Alotaibi Sunil K. Sharma Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces Abstract and Applied Analysis |
| title | Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces |
| title_full | Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces |
| title_fullStr | Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces |
| title_full_unstemmed | Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces |
| title_short | Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces |
| title_sort | some new lacunary strong convergent vector valued sequence spaces |
| url | http://dx.doi.org/10.1155/2014/858504 |
| work_keys_str_mv | AT mmursaleen somenewlacunarystrongconvergentvectorvaluedsequencespaces AT aalotaibi somenewlacunarystrongconvergentvectorvaluedsequencespaces AT sunilksharma somenewlacunarystrongconvergentvectorvaluedsequencespaces |