An inclusion theorem for double Cesàro matrices over the space of absolutely k-convergent double series


Savaş E., Rhoades B.

Applied Mathematics Letters, vol.22, no.9, pp.1462-1466, 2009 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 9
  • Publication Date: 2009
  • Doi Number: 10.1016/j.aml.2009.03.015
  • Journal Name: Applied Mathematics Letters
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1462-1466
  • Keywords: Absolute summability factors, Double triangular summability
  • Uşak University Affiliated: No

Abstract

In this work it is shown that if C (α, β) and C (γ, δ) are double Cesàro matrices with α ≥ γ > - 1, β ≥ δ > - 1, then any double series that is {divides} C (γ, δ) {divides}k-summable is also {divides} C (α, β) {divides}k-summable, k ≥ 1. © 2009.