Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 86095, 8 pages
doi:10.1155/2007/86095
Research Article

A Note on |A|k Summability Factors for Infinite Series

Ekrem Savaş1 and B. E. Rhoades2

 1Department of Mathematics, Faculty of Sciences and Arts, Istanbul Ticaret University, Uskudar, Istanbul 34672, Turkey
2Department of Mathematics, Indiana University, Bloomington 47405-7106, IN, USA
Received 9 November 2006; Accepted 29 March 2007

Recommended by Martin J. Bohner

Abstract

We obtain sufficient conditions on a nonnegative lower triangular matrix A and a sequence λn for the series ∑anλn/nann to be absolutely summable of order k≥1 by A.