On a summability factor theorem
Mathematical Inequalities and Applications, vol.10, no.2, pp.365-370, 2007 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 10 Issue: 2
- Publication Date: 2007
- Doi Number: 10.7153/mia-10-34
- Journal Name: Mathematical Inequalities and Applications
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.365-370
- Keywords: Absolute summability, Summability factor, Weighted mean matrix
- Open Archive Collection: AVESIS Open Access Collection
- İstanbul Ticaret University Affiliated: Yes
Abstract
Let 1 < k ≤s <∞. In the present paper we obtain sufficient conditions for a series Σ an. which is absolutely summable of order k by a weighted mean method to be such that Σ anλ n is absolutely summable of order x by a triangular matrix. As corollary of this result we obtain an inclusion theorem. © ELEMENT.