Some Tauberian theorems for Borel summability methods

DOI10.1016/J.AML.2009.09.028zbMath1189.40007OpenAlexW2090657881MaRDI QIDQ847316

İbrahim Çanak, Ümit Totur

Publication date: 12 February 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.09.028

zbMATH Keywords

Borel summabilityTauberian conditionsslow oscillation

Mathematics Subject Classification ID

Tauberian theorems (40E05)

Related Items (7)

On the Borel summability method for convergence of triple sequences of Bernstein-Stancu operators of fuzzy numbers ⋮ Some Tauberian theorems for the product method of Borel and Cesàro summability ⋮ Extended Tauberian theorem for the weighted mean method of summability ⋮ One-sided Tauberian conditions for a general summability method ⋮ Some general Tauberian conditions for the weighted mean summability method ⋮ On the Borel summability method of sequences of fuzzy numbers ⋮ Some Tauberian theorems for the weighted mean methods of summability

Cites Work

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• Some Tauberian theorems for the circle family of summability methods
• On a theorem of W. Meyer-König and H. Tietz
• Some relations between the methods of summability of Abel, Borel, Cesàro, Hölder and Hausdorff
• An Improvement on a Theorem of Hardy and Littlewood
• A Tauberian Theorem Concerning Borel-Type and Cesàro Methods of Summability
• On Some Relations Between the Abel, Borel, and Cesàro Methods of Summation
• On Products of Summability Methods
• Notes on the Theory of Series (XXII)^* : On the Tauberian Theorem for Borel Summability

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