A summability factor theorem and applications
Applied Mathematics and Computation, vol.153, no.1, pp.155-163, 2004 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 153 Issue: 1
- Publication Date: 2004
- Doi Number: 10.1016/s0096-3003(03)00620-9
- Journal Name: Applied Mathematics and Computation
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.155-163
- 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 weighted mean method, to be such that ∑εnan is absolutely summable of order k by a triangular matrix. As corollaries we obtain a number of inclusion theorems. © 2003 Elsevier Inc. All rights reserved.