Summability factor theorems for triangular matrices
Journal of Computational Analysis and Applications, vol.9, no.3, pp.319-336, 2007 (SCI-Expanded, Scopus)
- 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.