Power Series Methods of Summability: Positivity and Gap Perfectness

DOI10.2307/1998400zbMath0479.40005OpenAlexW4248856568MaRDI QIDQ3937116

Werner Meyer-König, Amnon Jakimovski, K. L. Zeller

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998400

zbMATH Keywords

high indices theoremsgap Tauberian theoremsgap-perfectness of FK-spacesperfectness of FK-spacespower-series methods of summability

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Abel, Borel and power series methods (40G10) Lacunary inversion theorems (40E15) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15) Structure of summability fields (40D09)

Related Items (5)

On weak and Schauder \({\mathcal F}\)-bases in topological vector spaces ⋮ Tauber-Sätze für Potenzreihenverfahren. (Tauberian theorems for power series methods) ⋮ Tauber-Sätze und M-Perfektheit ⋮ One-sided \(O\)-Tauber conditions for summability subfields with sectional convergence ⋮ Characterization of \(O\)-Tauberian conditions for partial fields of effectiveness of sectional convergence

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