Double absolute summability factor theorems and applications

Savaş E., Rhoades B.

Nonlinear Analysis, Theory, Methods and Applications, vol.69, no.1, pp.189-200, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 69 Issue: 1
  • Publication Date: 2008
  • Doi Number: 10.1016/j.na.2007.05.010
  • Journal Name: Nonlinear Analysis, Theory, Methods and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.189-200
  • Keywords: Absolute summability, Double summability, Double weighted mean, Summability factors
  • Uşak University Affiliated: No

Abstract

In an earlier paper the first author [Ekrem Savas, Factors for | A |k summability of infinite series, Comput. Math. Appl. 53 (7) (2007) 1045-1049. [3]] obtained a summability factor theorem for absolute summability of the order k ≥ 1. In this paper we extend that result to doubly infinite matrices. © 2007 Elsevier Ltd. All rights reserved.