Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 675403, 10 pages
doi:10.1155/2009/675403
Research Article

A Recent Note on Quasi-Power Increasing Sequence for Generalized Absolute Summability

E. Savaş1 and H. Şevli2

1Department of Mathematics, İstanbul Ticaret University, Üsküdar, 34672-İstanbul, Turkey
2Department of Mathematics, Faculty of Arts & Sciences, Yüzüncü Yıl University, 65080-Van, Turkey

Received 15 May 2009; Accepted 30 July 2009

Academic Editor: Ramm Mohapatra

Copyright © 2009 E. Savaş and H. Şevli. 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 prove two theorems on |A,δ|k, k≥1,0≤δ<1/k, summability factors for an infinite series by using quasi-power increasing sequences. We obtain sufficient conditions for ∑anλn to be summable |A,δ|k, k≥1,  0≤δ<1/k, by using quasi-f-increasing sequences.