Open Access Research

A new note on generalized absolute matrix summability

HS Özarslan* and T Ari

Author Affiliations

Department of Mathematics, Erciyes University, Kayseri, 38039, Turkey

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Journal of Inequalities and Applications 2012, 2012:166 doi:10.1186/1029-242X-2012-166

Published: 27 July 2012

Abstract

This paper gives necessary and sufficient conditions in order that a series <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/166/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/166/mathml/M1">View MathML</a> should be summable <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/166/mathml/M2','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/166/mathml/M2">View MathML</a>, <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/166/mathml/M3','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/166/mathml/M3">View MathML</a>, whenever <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/166/mathml/M4','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/166/mathml/M4">View MathML</a> is summable <a onClick="popup('http://www.journalofinequalitiesandapplications.com/content/2012/1/166/mathml/M5','MathML',630,470);return false;" target="_blank" href="http://www.journalofinequalitiesandapplications.com/content/2012/1/166/mathml/M5">View MathML</a>. Some new results have also been obtained.

MSC: 40D25, 40F05, 40G99.

Keywords:
summability factors; absolute matrix summability; infinite series