Double summability factor theorems and applications

Savaş E., Rhoades B.

Mathematical Inequalities and Applications, vol.10, no.1, pp.125-149, 2007 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 1
  • Publication Date: 2007
  • Doi Number: 10.7153/mia-10-12
  • Journal Name: Mathematical Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.125-149
  • Keywords: Absolute summability, Cesáro matrix, Summability factor, Weighted mean matrix
  • Uşak University Affiliated: No

Abstract

We obtain sufficient conditions for the series ∑ ∑ amn, which is absolutely summable of order k by a double triangular matrix method A, to be such that ∑ ∑ amnλmn is absolutely summable of order k by a double triangular matrix B. As corollaries we obtain a number of inclusion theorems.