A new extension on the theorem of Bor
In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence. Also some new and known results are obtained dealing with...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2021-07-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.195/ |
| _version_ | 1797651550098685952 |
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| author | Yıldız, Şebnem |
| author_facet | Yıldız, Şebnem |
| author_sort | Yıldız, Şebnem |
| collection | DOAJ |
| description | In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence. Also some new and known results are obtained dealing with some basic summability methods. |
| first_indexed | 2024-03-11T16:17:26Z |
| format | Article |
| id | doaj.art-8f732a873c1f407297ce0bce9bd6fffe |
| institution | Directory Open Access Journal |
| issn | 1778-3569 |
| language | English |
| last_indexed | 2024-03-11T16:17:26Z |
| publishDate | 2021-07-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj.art-8f732a873c1f407297ce0bce9bd6fffe2023-10-24T14:18:44ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692021-07-01359555556210.5802/crmath.19510.5802/crmath.195A new extension on the theorem of BorYıldız, Şebnem0Department of Mathematics, Ahi Evran University, Kırşehir, TurkeyIn [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence. Also some new and known results are obtained dealing with some basic summability methods.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.195/ |
| spellingShingle | Yıldız, Şebnem A new extension on the theorem of Bor Comptes Rendus. Mathématique |
| title | A new extension on the theorem of Bor |
| title_full | A new extension on the theorem of Bor |
| title_fullStr | A new extension on the theorem of Bor |
| title_full_unstemmed | A new extension on the theorem of Bor |
| title_short | A new extension on the theorem of Bor |
| title_sort | new extension on the theorem of bor |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.195/ |
| work_keys_str_mv | AT yıldızsebnem anewextensiononthetheoremofbor AT yıldızsebnem newextensiononthetheoremofbor |