A summability factor theorem involving an almost increasing sequence for generalized absolute summability

Savaş E.

Computers and Mathematics with Applications, vol.54, no.11-12, pp.1380-1386, 2007 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 11-12
  • Publication Date: 2007
  • Doi Number: 10.1016/j.camwa.2006.12.082
  • Journal Name: Computers and Mathematics with Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1380-1386
  • Keywords: Absolute summability, Almost increasing summability factors
  • Uşak University Affiliated: No

Abstract

In this paper we prove a general theorem on | A ; δ |k-summability factors of infinite series under suitable conditions by using an almost increasing sequence, where A is a lower triangular matrix with non-negative entries. Also, we deduce a similar result for the weighted mean method. © 2007 Elsevier Ltd. All rights reserved.