Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)
We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of order (α,β). We also examine some topological pro...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/4312817 |
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| author | S. A. Mohiuddine Sunil K. Sharma Dina A. Abuzaid |
| author_facet | S. A. Mohiuddine Sunil K. Sharma Dina A. Abuzaid |
| author_sort | S. A. Mohiuddine |
| collection | DOAJ |
| description | We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of order (α,β). We also examine some topological properties and prove inclusion relations between the resulting sequence spaces. |
| format | Article |
| id | doaj-art-c14445a97d9a4d68b3c6b558da7f6832 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c14445a97d9a4d68b3c6b558da7f68322025-02-03T07:25:50ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/43128174312817Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)S. A. Mohiuddine0Sunil K. Sharma1Dina A. Abuzaid2Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Cluster University of Jammu, Jammu 180005, IndiaOperator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of order (α,β). We also examine some topological properties and prove inclusion relations between the resulting sequence spaces.http://dx.doi.org/10.1155/2018/4312817 |
| spellingShingle | S. A. Mohiuddine Sunil K. Sharma Dina A. Abuzaid Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β) Journal of Function Spaces |
| title | Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β) |
| title_full | Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β) |
| title_fullStr | Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β) |
| title_full_unstemmed | Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β) |
| title_short | Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β) |
| title_sort | some seminormed difference sequence spaces over n normed spaces defined by a musielak orlicz function of order α β |
| url | http://dx.doi.org/10.1155/2018/4312817 |
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