Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence
In the present work we introduce and study some strongly convergent sequence spaces of Orlicz functions using infinite matrix over n-normed spaces. We study some algebraic and topological properties ofthese sequence spaces. A necessary and sufficient condition for strongly convergent sequences is obta...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Yildiz Technical University
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/75175/ http://psasir.upm.edu.my/id/eprint/75175/1/Orlicz%20strongly%20convergent%20sequences%20.pdf |
| _version_ | 1848857622975873024 |
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| author | Raj, Kuldip Kilicman, Adem |
| author_facet | Raj, Kuldip Kilicman, Adem |
| author_sort | Raj, Kuldip |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In the present work we introduce and study some strongly convergent sequence spaces of Orlicz functions using infinite matrix over n-normed spaces. We study some algebraic and topological properties ofthese sequence spaces. A necessary and sufficient condition for strongly convergent sequences is obtained. Finally, we study some applications of these sequences for Fourier series and statistical convergence. |
| first_indexed | 2025-11-15T12:00:29Z |
| format | Article |
| id | upm-75175 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:00:29Z |
| publishDate | 2018 |
| publisher | Yildiz Technical University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-751752021-09-08T05:38:07Z http://psasir.upm.edu.my/id/eprint/75175/ Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence Raj, Kuldip Kilicman, Adem In the present work we introduce and study some strongly convergent sequence spaces of Orlicz functions using infinite matrix over n-normed spaces. We study some algebraic and topological properties ofthese sequence spaces. A necessary and sufficient condition for strongly convergent sequences is obtained. Finally, we study some applications of these sequences for Fourier series and statistical convergence. Yildiz Technical University 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75175/1/Orlicz%20strongly%20convergent%20sequences%20.pdf Raj, Kuldip and Kilicman, Adem (2018) Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence. New Trends in Mathematical Sciences, 6 (1). 212 - 226. ISSN 2147-5520 https://www.ntmsci.com/ntmsci/ContentDetails?Volume=6&IssueNumber=1 10.20852/ntmsci.2018.263 |
| spellingShingle | Raj, Kuldip Kilicman, Adem Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence |
| title | Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence |
| title_full | Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence |
| title_fullStr | Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence |
| title_full_unstemmed | Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence |
| title_short | Orlicz strongly convergent sequences with some applications to fourier series and statistical convergence |
| title_sort | orlicz strongly convergent sequences with some applications to fourier series and statistical convergence |
| url | http://psasir.upm.edu.my/id/eprint/75175/ http://psasir.upm.edu.my/id/eprint/75175/ http://psasir.upm.edu.my/id/eprint/75175/ http://psasir.upm.edu.my/id/eprint/75175/1/Orlicz%20strongly%20convergent%20sequences%20.pdf |