Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 279421, 7 pages
Research Article

On Absolute Cesàro Summability

1Department of Mathematics, Faculty of Arts and Sciences, Yüzüncü Yıl University, 65080 Van, Turkey
2Department of Mathematics, İstanbul Ticaret University, Üsküdar 36472, İstanbul, Turkey

Received 14 July 2008; Accepted 7 June 2009

Academic Editor: László Losonczi

Copyright © 2009 Hamdullah Şevli and Ekrem Savaş. 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.


Denote by 𝒜k the sequence space defined by 𝒜k={(sn):n=1nk1|an|k<,an=snsn1} for k1. In a recent paper by E. Savaş and H. Şevli (2007), they proved every Cesàro matrix of order α, for α>1, (C,α)B(𝒜k) for k1. In this paper, we consider a further extension of absolute Cesàro summability.