Necessary and sufficient conditions for inclusion relations for absolute summability

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Copy For Citation

Rhoades B., Savas E.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, vol.113, no.3, pp.243-250, 2003 (SCI-Expanded)

• 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).