A Summability Factor Theorem for Quasi-Power-Increasing Sequences

<p/> <p>We establish a summability factor theorem for summability <inline-formula> <graphic file="1029-242X-2010-105136-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-105136-i2.gif"/></inline-formula&g...

Full description

Bibliographic Details
Main Author: Sava&#351; E
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/105136
Description
Summary:<p/> <p>We establish a summability factor theorem for summability <inline-formula> <graphic file="1029-242X-2010-105136-i1.gif"/></inline-formula>, where <inline-formula> <graphic file="1029-242X-2010-105136-i2.gif"/></inline-formula> 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 Sava&#351; (2006) by using quasi <inline-formula> <graphic file="1029-242X-2010-105136-i3.gif"/></inline-formula>-increasing sequences.</p>
ISSN:1025-5834
1029-242X