On a summability factor theorem

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Savaş E.

Mathematical Inequalities and Applications, vol.10, no.2, pp.365-370, 2007 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 10 Issue: 2
• Publication Date: 2007
• Doi Number: 10.7153/mia-10-34
• Journal Name: Mathematical Inequalities and Applications
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.365-370
• Keywords: Absolute summability, Summability factor, Weighted mean matrix
• Open Archive Collection: AVESIS Open Access Collection
• Uşak University Affiliated: No

Abstract

Let 1 < k ≤s <∞. In the present paper we obtain sufficient conditions for a series Σ an. which is absolutely summable of order k by a weighted mean method to be such that Σ anλ n is absolutely summable of order x by a triangular matrix. As corollary of this result we obtain an inclusion theorem. © ELEMENT.