General absolute summability factor theorems involving quasi-power-increasing sequences

Sevli H.

MATHEMATICAL AND COMPUTER MODELLING, vol.50, pp.1121-1127, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50
  • Publication Date: 2009
  • Doi Number: 10.1016/j.mcm.2009.05.031
  • Journal Name: MATHEMATICAL AND COMPUTER MODELLING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1121-1127
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper a general theorem concerning the vertical bar A, delta vertical bar(k) summability methods has been proved, which generalizes two results of Sevli and Leindler [H. Sevli and L. Leindler, n the absolute summability factors of infinite series involving quasi-power-increasing sequences, Computers and Mathematics with Applications 57 (2009), 702-709]. We obtain sufficient conditions for Sigma a(n)lambda(n) to be summable vertical bar A, delta vertical bar(k), k >= 1, 0 <= delta < 1/k, by using quasi-power- increasing sequences. (C) 2009 Elsevier Ltd. All rights reserved.