Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 257318, 4 pages
doi:10.1155/2008/257318
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

Recommended by Martin J. Bohner

Abstract

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 k≥1. In this paper we extend this result to double Cesáro matrices.