Tauberian conditions with controlled oscillatory behavior

DOI10.1016/j.aml.2011.08.017zbMath1247.40006OpenAlexW2071825079MaRDI QIDQ427576

Bilender P. Allahverdiev, Ümit Totur, İbrahim Çanak

Publication date: 14 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.08.017

zbMATH Keywords

Tauberian theoremAbel summabilityslow decreaseslow oscillation

Mathematics Subject Classification ID

Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Abel, Borel and power series methods (40G10) Tauberian theorems (40E05)

Related Items (2)

Extended Tauberian theorem for the weighted mean method of summability ⋮ Tauberian theorems for the statistical convergence and the statistical (C,1,1) summability

Cites Work

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• Tauberian theorems for Abel limitability method
• A condition under which slow oscillation of a sequence follows from Cesàro summability of its generator sequence
• One-sided Tauberian conditions for \((A,k)\) summability method
• A Tauberian theorem with a generalized one-sided condition
• An extended Tauberian theorem for the \((C,1)\) summability method
• On a tauberian theorem for Abel summability
• On a Tauberian Theorem by O. Szasz

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