On |A|k summability factors of infinite series

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Rhoades B., Savaş E.

Proceedings of the Estonian Academy of Sciences, vol.59, no.3, pp.201-206, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Abstract
  • Volume: 59 Issue: 3
  • Publication Date: 2010
  • Doi Number: 10.3176/proc.2010.3.02
  • Journal Name: Proceedings of the Estonian Academy of Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.201-206
  • Keywords: Absolute summability, Summability factors
  • Uşak University Affiliated: No

Abstract

In an earlier paper (Rhoades. B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002. 33(7), 1003-1009) the authors obtained necessary conditions for the series Σan to be absolutely summable of order k by a triangular matrix. In this paper we present sufficient conditions for absolute matrix summability factors. As a corollary we obtain a result of N. Singh (On |N̄,pn| summability factors of infinite series. Indian J. Math., 1968, 10, 19-24).