On (Δm,I)-Statistical Convergence of Order α
The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δm,I)-statistical convergence of order α and strong (Δpm,I)-Cesàro summability of order α of real sequences and inv...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/535419 |
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| author | Mikail Et Abdullah Alotaibi S. A. Mohiuddine |
| author_facet | Mikail Et Abdullah Alotaibi S. A. Mohiuddine |
| author_sort | Mikail Et |
| collection | DOAJ |
| description | The idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δm,I)-statistical convergence of order α and strong (Δpm,I)-Cesàro summability of order α of real sequences and investigated their relationship. |
| format | Article |
| id | doaj-art-d916e1ad19ff45c7846fe1a5a46ae75a |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-d916e1ad19ff45c7846fe1a5a46ae75a2025-02-03T01:29:57ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/535419535419On (Δm,I)-Statistical Convergence of Order αMikail Et0Abdullah Alotaibi1S. A. Mohiuddine2Department of Mathematics, Fırat University, 23119 Elazıg, TurkeyDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe idea of I-convergence of real sequences was introduced by Kostyrko et al., (2000/01) and also independently by Nuray and Ruckle (2000). In this paper, we introduce the concepts of (Δm,I)-statistical convergence of order α and strong (Δpm,I)-Cesàro summability of order α of real sequences and investigated their relationship.http://dx.doi.org/10.1155/2014/535419 |
| spellingShingle | Mikail Et Abdullah Alotaibi S. A. Mohiuddine On (Δm,I)-Statistical Convergence of Order α The Scientific World Journal |
| title | On (Δm,I)-Statistical Convergence of Order α |
| title_full | On (Δm,I)-Statistical Convergence of Order α |
| title_fullStr | On (Δm,I)-Statistical Convergence of Order α |
| title_full_unstemmed | On (Δm,I)-Statistical Convergence of Order α |
| title_short | On (Δm,I)-Statistical Convergence of Order α |
| title_sort | on δm i statistical convergence of order α |
| url | http://dx.doi.org/10.1155/2014/535419 |
| work_keys_str_mv | AT mikailet ondmistatisticalconvergenceofordera AT abdullahalotaibi ondmistatisticalconvergenceofordera AT samohiuddine ondmistatisticalconvergenceofordera |