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
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
Academic Editor: Martin J. Bohner
Copyright © 2007 Ekrem Savaş and B. E. Rhoades. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.