Double summability factor theorems and applications
Mathematical Inequalities and Applications, vol.10, no.1, pp.125-149, 2007 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 10 Issue: 1
- Publication Date: 2007
- Doi Number: 10.7153/mia-10-12
- Journal Name: Mathematical Inequalities and Applications
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.125-149
- Keywords: Absolute summability, Cesáro matrix, Summability factor, Weighted mean matrix
- Uşak University Affiliated: No
Abstract
We obtain sufficient conditions for the series ∑ ∑ amn, which is absolutely summable of order k by a double triangular matrix method A, to be such that ∑ ∑ amnλmn is absolutely summable of order k by a double triangular matrix B. As corollaries we obtain a number of inclusion theorems.