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) identifier

  • 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
  • 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.