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A Note on Summability Factors for Infinite Series

Journal of Inequalities and Applications20072007:086095

Received: 9 November 2006

Accepted: 29 March 2007

Published: 5 June 2007


We obtain sufficient conditions on a nonnegative lower triangular matrix and a sequence for the series to be absolutely summable of order by .


Triangular MatrixInfinite SeriesLower Triangular MatrixSummability Factor


Authors’ Affiliations

Department of Mathematics, Faculty of Sciences and Arts, Istanbul Ticaret University, Istanbul, Turkey
Department of Mathematics, Indiana University, Bloomington, USA


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© E. Savaş and B. E. Rhoades 2007

This article is published under license to BioMed Central Ltd. 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.