Tauberian theorems for Borel-type methods of summability

DOI10.1007/BF01190268zbMath0681.40006OpenAlexW1993074882MaRDI QIDQ5916445

Werner Kratz, Ulrich Stadtmüller

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190268

zbMATH Keywords

\(J_ p\)-methodsBorel-type methods of summability

Mathematics Subject Classification ID

Abel, Borel and power series methods (40G10) Tauberian theorems (40E05) Growth estimates (40E10)

Related Items (6)

Power series methods and almost sure convergence ⋮ Tauberian theorems for general power series methods ⋮ Tauberian theorems for power series methods applied to double sequences ⋮ An O-Tauberian theorem and a high indices theorem for power series methods of summability ⋮ Characterization of \(O\)-Tauberian conditions for partial fields of effectiveness of sectional convergence ⋮ General Nörlund transforms and power series methods

Cites Work

• On relations between weighted mean and power series methods of summability
• Ein funktionentheoretischer Beweis für O-Taubersätze bei den Verfahren von Borel und Euler-Knopp
• Tauberian theorems for \(J_ p\)-summability
• Tauberian Theorems for General J_p -Methods and a Characterization of Dominated Variation
• A Tauberian Theorem Concerning Borel-Type and Cesàro Methods of Summability
• A Tauberian theorem for Borel-type methods of summability.
• A Tauberian Theorem for Borel-Type Methods of Summability
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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