Summability factor theorems for triangular matrices

Savaş E., Rhoades B.

Journal of Computational Analysis and Applications, vol.9, no.3, pp.319-336, 2007 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 3
  • Publication Date: 2007
  • Journal Name: Journal of Computational Analysis and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.319-336
  • Keywords: Absolute summability, Summability factor
  • Uşak University Affiliated: No

Abstract

We obtain necessary and sufficient conditions for the series Σa n summable |A| to imply that Σanλn is summable |B|k, and for the series Σan summable |A|k to imply that Σanλn is summable |B|, k ≥ 1 where A and B are lower triangular matrices. COPYRIGHT 2007 EUDOXUS PRESS ,LLC.