Comptes Rendus
no. 7-8
Mathematical Analysis
On some new applications of power increasing sequences
[Sur quelques nouvelles applications des puissances des suites croissantes]

Présenté par : Jean-Pierre Kahane

Hüseyin Bor1
1 Department of Mathematics, Erciyes University, 38039 Kayseri, Turkey
Comptes Rendus. Mathématique, Volume 346 (2008) no. 7-8, pp. 391-394.

Dans cette Note, nous donnons une généralisation d'un résultat connu de |N¯,pn|k sommabilité portant sur les facteurs de summabilité |N¯,pn,θn|k sous des hypothèses plus faibles. Nous obtenons des résultats nouveaux.

In the present Note, a result dealing with |N¯,pn|k summability has been generalized for |N¯,pn,θn|k summability factors under more weaker conditions. Also some new results have obtained.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.02.013
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/

[1] H. Bor On two summability methods, Math. Proc. Cambridge Philos. Soc., Volume 97 (1985), pp. 147-149

[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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