Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 257318, 4 pages
Research Article

On the Cesáro Summability of Double Series

E. Savaş,1 H. Şevli,2 and B. E. Rhoades3

1Department of Mathematics, Istanbul Commerce University, Üsküdar 34672, Istanbul, Turkey
2Department of Mathematics, Faculty of Arts & Sciences, Yüzüncü Yil University, Van 65080, Turkey
3Department of Mathematics, Indiana University, Bloomington 47405, IN, USA

Received 18 July 2007; Accepted 19 August 2007

Academic Editor: Martin J. Bohner

Copyright © 2008 E. Savaş et al. 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.


In a recent paper by Savaş and Şevli (2007), it was shown that each Cesáro matrix of order α, for α>1, is absolutely kth power conservative for k1. In this paper we extend this result to double Cesáro matrices.