Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 105136, 10 pages
doi:10.1155/2010/105136
Research Article

A Summability Factor Theorem for Quasi-Power-Increasing Sequences

Department of Mathematics, İstanbul Ticaret University, Üsküdar, 34378 İstanbul, Turkey

Received 23 June 2010; Revised 3 September 2010; Accepted 15 September 2010

Academic Editor: J. Szabados

Copyright © 2010 E. 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.

Abstract

We establish a summability factor theorem for summability |A,δ|k, where A is lower triangular matrix with nonnegative entries satisfying certain conditions. This paper is an extension of the main result of the work by Rhoades and Savaş (2006) by using quasi f-increasing sequences.