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A short proof of the generalized Littlewood Tauberian theorem

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Publication:975287
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DOI10.1016/J.AML.2010.03.017zbMath1202.40004OpenAlexW2053897199MaRDI QIDQ975287

İbrahim Çanak

Publication date: 9 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.03.017


zbMATH Keywords

Tauberian theoremAbel summabilityslow 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)

Tauberian conditions under which convergence follows from Abel summability ⋮ A Tauberian theorem for Cesáro summability of integrals ⋮ One-sided Tauberian conditions for a general summability method ⋮ Some Tauberian theorems for regularly generated sequences ⋮ Tauberian theorems for the \((J,p)\) summability method ⋮ A theorem for convergence of generator sequences ⋮ An alternative proof of the generalized Littlewood Tauberian theorem for Cesàro summable double sequences ⋮ SOME TAUBERIAN REMAINDER THEOREMS FOR HOLDER SUMMABILITY




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