A tauberian theorem concerning power series and cesáro methods of summability

DOI10.1080/10652469408819046zbMath0826.40002OpenAlexW2157271603MaRDI QIDQ4838140

Ulrich Stadtmüller, Wilfried Motzer

Publication date: 27 November 1995

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469408819046

zbMATH Keywords

Tauberian theoremspower series methodsCesàro methodssummability fieldspecial Borel-type summability methods

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Abel, Borel and power series methods (40G10) Tauberian theorems (40E05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On relations between weighted mean and power series methods of summability
• Tauberian theorems for \(J_ p\)-summability
• Tauber-Sätze für Potenzreihenverfahren. (Tauberian theorems for power series methods)
• On Tauberian theorems for the \(S_\alpha\)-method of summability
• An Improvement on a Theorem of Hardy and Littlewood
• The Relation between the Borel and Riesz Methods of Summation
• Tauberian Theorems for General J_p -Methods and a Characterization of Dominated Variation
• A Tauberian Theorem Concerning Borel-Type and Cesàro Methods of Summability
• O -Tauberian Theorems for J _p -Methods with Rapidly Increasing Weights
• Tauberian theorems for general power series methods
• A Tauberian Theorem Concerning Borel-Type and Riesz Summability Methods
• On Some Relations Between the Abel, Borel, and Cesàro Methods of Summation
• A Tauberian Theorem for Borel-Type Methods of Summability
• The Generalization of a Theorem on Borel Summability