Necessary and sufficient conditions for inclusion relations for absolute summability
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, vol.113, no.3, pp.243-250, 2003 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 113 Issue: 3
- Publication Date: 2003
- Doi Number: 10.1007/bf02829605
- Journal Name: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.243-250
- Van Yüzüncü Yıl University Affiliated: No
Abstract
We obtain a set of necessary and sufficient conditions for \N.p(n)\(k) to imply \(N) over bar ,q(n)\(s) for 1 < k less than or equal to s < infinity. Using this result we establish several inclusion theorems as well as conditions for the equivalence of \(N) over bar ,p(n)\(k) and \(N) over bar ,q(n)\(s).