Regularly varying functions and power series methods

DOI10.1016/0022-247X(80)90022-0zbMath0435.40009OpenAlexW1969886980MaRDI QIDQ1140245

Hubert Tietz, Amnon Jakimovski

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90022-0

zbMATH Keywords

Tauberian theoremsregularly varying functionspower-series methods

Mathematics Subject Classification ID

Abel, Borel and power series methods (40G10) Tauberian theorems (40E05) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)

Related Items (9)

Power series methods and almost sure convergence ⋮ Tauberian theorems for general power series methods ⋮ Tauber-Sätze für Potenzreihenverfahren. (Tauberian theorems for power series methods) ⋮ An O-Tauberian theorem and a high indices theorem for power series methods of summability ⋮ Power Series Methods of Summability: Positivity and Gap Perfectness ⋮ The law of the iterated logarithm for certain power series and generalized Nörlund methods ⋮ Voronoi means, moving averages, and power series ⋮ Errata to: ``Regularly varying functions and power series methods ⋮ General Nörlund transforms and power series methods

Cites Work

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• Slowly varying functions and generalized logarithmic summability
• On generalized logarithmic methods of summation
• Some relations between the methods of summability of Abel, Borel, Cesàro, Hölder and Hausdorff
• A converse theorem on the summability methods
• Regularly varying functions in the theory of simple branching processes
• A Tauberian theorem for $\left( {J,p_n} \right)$ summability
• A Tauberian Theorem for a Scale of Logarithmic Methods of Summation
• The Inversion of A Convolution Transorm Whose Kernel is a Laguerre Polynomial

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