A new extension on the theorem of Bor

Şebnem Yıldız

doi:10.5802/crmath.195

Analyse numérique

A new extension on the theorem of Bor

Şebnem Yıldız ¹

¹ Department of Mathematics, Ahi Evran University, Kırşehir, Turkey

Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 555-562.

Résumé

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 $| A, θ_{n} |_{k}$ summability method for taking power increasing sequence. Also some new and known results are obtained dealing with some basic summability methods.

Reçu le : 2020-10-10
Révisé le : 2020-11-26
Accepté le : 2021-03-01
Publié le : 2021-07-13

DOI : 10.5802/crmath.195

Classification : 26D15, 42A24, 40F05, 40G99

Affiliations des auteurs :

Şebnem Yıldız ¹

¹ Department of Mathematics, Ahi Evran University, Kırşehir, Turkey

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     title = {A new extension on the theorem of {Bor}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {555--562},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {5},
     year = {2021},
     doi = {10.5802/crmath.195},
     language = {en},
}

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Şebnem Yıldız. A new extension on the theorem of Bor. Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 555-562. doi : 10.5802/crmath.195. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.195/

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