On some new applications of power increasing sequences

Hüseyin Bor

doi:10.1016/j.crma.2008.02.013

Mathematical Analysis

On some new applications of power increasing sequences

Presented by: Jean-Pierre Kahane

Hüseyin Bor ¹

¹ Department of Mathematics, Erciyes University, 38039 Kayseri, Turkey

Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 391-394.

Abstract (Original language)
Résumé

In the present Note, a result dealing with ${| \bar{N}, p_{n} |}_{k}$ summability has been generalized for ${| \bar{N}, p_{n}, θ_{n} |}_{k}$ summability factors under more weaker conditions. Also some new results have obtained.

Dans cette Note, nous donnons une généralisation d'un résultat connu de ${| \bar{N}, p_{n} |}_{k}$ sommabilité portant sur les facteurs de summabilité ${| \bar{N}, p_{n}, θ_{n} |}_{k}$ sous des hypothèses plus faibles. Nous obtenons des résultats nouveaux.

Received: 2007-08-17
Accepted: 2008-01-29
Published online: 2008-03-10

DOI: 10.1016/j.crma.2008.02.013

Author's affiliations:

Hüseyin Bor ¹

¹ Department of Mathematics, Erciyes University, 38039 Kayseri, Turkey

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Hüseyin Bor. On some new applications of power increasing sequences. Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 391-394. doi : 10.1016/j.crma.2008.02.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.02.013/

References
Cited by

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[2] H. Bor On the relative strength of two absolute summability methods, Proc. Amer. Math. Soc., Volume 113 (1991), pp. 1009-1012

[3] H. Bor A study on weighted mean summability, Rend. Circ. Mat. Palermo (2), Volume 56 (2007), pp. 198-206

[4] T.M. Flett On an extension of absolute summability and some theorems of Littlewood and Paley, Proc. London Math. Soc., Volume 7 (1957), pp. 113-141

[5] S.M. Mazhar Absolute summability factors of infinite series, Kyungpook Math. J., Volume 39 (1999), pp. 67-73

[6] W.T. Sulaiman On some summability factors of infinite series, Proc. Amer. Math. Soc., Volume 115 (1992), pp. 313-317

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