General inclusion relations for absolute summability

Savas E.

MATHEMATICAL INEQUALITIES & APPLICATIONS, vol.8, no.3, pp.521-527, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 3
  • Publication Date: 2005
  • Doi Number: 10.7153/mia-08-47
  • Journal Name: MATHEMATICAL INEQUALITIES & APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.521-527
  • Van Yüzüncü Yıl University Affiliated: No

Abstract

We obtain sufficient conditions for the series E all, which is absolutely summable of order k by a triangular matrix method A, 1 < k <= s < infinity, to be such that Sigma a(n) an is absolutely summable of order s by a triangular matrix B. As corollaries, we obtain a number of inclusion theorems.