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

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Savaş E., Rhoades B.

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

• 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.