General inclusion relations for absolute summability

SAVAŞ E.

Mathematical Inequalities and Applications, vol.8, no.3, pp.521-527, 2005 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 3
  • Publication Date: 2005
  • Doi Number: 10.7153/mia-08-47
  • Journal Name: Mathematical Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.521-527
  • Keywords: Absolute summability, Cesáro matrix, Summability factor, Weighted mean matrix
  • Uşak University Affiliated: No

Abstract

We obtain sufficient conditions for the series ∑an, which is absolutely summable of order k by a triangular matrix method A, 1 < k ≤ s < ∞, to be such that ∑an is absolutely summable of order s by a triangular matrix B. As corollaries, we obtain a number of inclusion theorems. © ELEMENT, Zagreb.