Topological properties of some sequences defined over 2-normed spaces
The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, rel...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/53141/1/Topological%20properties%20of%20some%20sequences%20defined%20over%202-normed%20spaces.pdf |
| _version_ | 1796975832682463232 |
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| author | Dutta, Hemen Kilicman, Adem Altun, Omer |
| author_facet | Dutta, Hemen Kilicman, Adem Altun, Omer |
| author_sort | Dutta, Hemen |
| collection | UPM |
| description | The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under various parameters and conditions.
Finally, the spaces are investigated for some other useful properties. The conclusion section provides many interesting facts for further research. |
| first_indexed | 2024-03-06T09:17:08Z |
| format | Article |
| id | upm.eprints-53141 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:17:08Z |
| publishDate | 2016 |
| publisher | SpringerOpen |
| record_format | dspace |
| spelling | upm.eprints-531412017-10-30T10:40:15Z http://psasir.upm.edu.my/id/eprint/53141/ Topological properties of some sequences defined over 2-normed spaces Dutta, Hemen Kilicman, Adem Altun, Omer The paper investigates some classes of real number sequences over 2-normed spaces defined by means of Orlicz functions, a bounded sequence of strictly positive real numbers, a multiplier and a normal paranormed sequence space. Relevant properties of such classes have been investigated. Moreover, relationships among different such classes of sequences have also been studied under various parameters and conditions. Finally, the spaces are investigated for some other useful properties. The conclusion section provides many interesting facts for further research. SpringerOpen 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/53141/1/Topological%20properties%20of%20some%20sequences%20defined%20over%202-normed%20spaces.pdf Dutta, Hemen and Kilicman, Adem and Altun, Omer (2016) Topological properties of some sequences defined over 2-normed spaces. SpringerPlus, 5 (1). pp. 1-16. ISSN 2193-1801 http://www.springerplus.com 10.1186/s40064‑016‑3646‑7 |
| spellingShingle | Dutta, Hemen Kilicman, Adem Altun, Omer Topological properties of some sequences defined over 2-normed spaces |
| title | Topological properties of some sequences defined over 2-normed spaces |
| title_full | Topological properties of some sequences defined over 2-normed spaces |
| title_fullStr | Topological properties of some sequences defined over 2-normed spaces |
| title_full_unstemmed | Topological properties of some sequences defined over 2-normed spaces |
| title_short | Topological properties of some sequences defined over 2-normed spaces |
| title_sort | topological properties of some sequences defined over 2 normed spaces |
| url | http://psasir.upm.edu.my/id/eprint/53141/1/Topological%20properties%20of%20some%20sequences%20defined%20over%202-normed%20spaces.pdf |
| work_keys_str_mv | AT duttahemen topologicalpropertiesofsomesequencesdefinedover2normedspaces AT kilicmanadem topologicalpropertiesofsomesequencesdefinedover2normedspaces AT altunomer topologicalpropertiesofsomesequencesdefinedover2normedspaces |