On inclusion relations for absolute summability

We obtain necessary and (different) sufficient conditions for a series summable |N¯,pn|k, 1<k≤s<∞, to imply that the series is summable |T|s, where (N¯,pn) is a weighted mean matrix and T is a lower triangular matrix. As corollaries of this result, we obtain several inclusion theorems.

Bibliographic Details
Main Authors: B. E. Rhoades, Ekrem Savaş
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202012425

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