A summability factor theorem and applications

---

Copy For Citation

Rhoades B., Savas E.

APPLIED MATHEMATICS AND COMPUTATION, vol.153, no.1, pp.155-163, 2004 (SCI-Expanded)

• 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
• Van Yüzüncü Yıl University Affiliated: No

Abstract

We obtain sufficient conditions for the series Sigma a(n), which is absolutely summable of order k by a weighted mean method, to be such that Sigma epsilon(n)a(n) is absolutely summable of order k by a triangular matrix. As corollaries we obtain a number of inclusion theorems. (C) 2003 Elsevier Inc. All rights reserved.