Tauberian theorems for Abel limitability method

DOI10.2478/S11533-008-0019-7zbMath1162.40003OpenAlexW2024938065MaRDI QIDQ931595

İbrahim Çanak, Ümit Totur

Publication date: 25 June 2008

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-008-0019-7

zbMATH Keywords

Abel summabilityTauberian conditionsslow 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 (8)

Extended Tauberian conditions for \((C,1)\) summability method ⋮ One-sided Tauberian conditions for a general summability method ⋮ Some one-sided conditions under which subsequential convergence follows from (\(A,k\)) summability method ⋮ Some Tauberian theorems for regularly generated sequences ⋮ Tauberian conditions with controlled oscillatory behavior ⋮ Some general Tauberian conditions for the weighted mean summability method ⋮ Subsequential convergence conditions ⋮ A theorem on the Cesàro summability method

Cites Work

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• A Tauberian theorem with a generalized one-sided condition
• Tauberian retrieval theory

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