On general summability factor theorem of infinite series

Şevli H., Savaş E.

Applied Mathematics and Computation, vol.218, no.3, pp.1046-1051, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Abstract
  • Volume: 218 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1016/j.amc.2011.03.068
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1046-1051
  • Keywords: Abel summability, Absolute summability, Summability factor, Triangular matrices, Weighted mean matrix
  • Uşak University Affiliated: No

Abstract

A lower triangular matrix with nonzero principal diagonal entries is called a triangle. In this paper we obtain the sufficient conditions for ∑anλn to be summable Ak whenever ∑an is summable Tk for a triangle T. © 2011 Elsevier Inc. All rights reserved.