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...

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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
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author Sava&#351; E
author_facet Sava&#351; E
author_sort Sava&#351; E
collection DOAJ
description <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>
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spelling doaj.art-754cf7d8d5c24d21885f5c9f5c3047092022-12-22T02:59:38ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101105136A Summability Factor Theorem for Quasi-Power-Increasing SequencesSava&#351; E<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>http://www.journalofinequalitiesandapplications.com/content/2010/105136
spellingShingle Sava&#351; E
A Summability Factor Theorem for Quasi-Power-Increasing Sequences
Journal of Inequalities and Applications
title A Summability Factor Theorem for Quasi-Power-Increasing Sequences
title_full A Summability Factor Theorem for Quasi-Power-Increasing Sequences
title_fullStr A Summability Factor Theorem for Quasi-Power-Increasing Sequences
title_full_unstemmed A Summability Factor Theorem for Quasi-Power-Increasing Sequences
title_short A Summability Factor Theorem for Quasi-Power-Increasing Sequences
title_sort summability factor theorem for quasi power increasing sequences
url http://www.journalofinequalitiesandapplications.com/content/2010/105136
work_keys_str_mv AT sava351e asummabilityfactortheoremforquasipowerincreasingsequences
AT sava351e summabilityfactortheoremforquasipowerincreasingsequences