Tauberian conditions under which convergence follows from Abel summability

DOI10.1016/j.aml.2010.07.014zbMath1213.40008OpenAlexW2009824020MaRDI QIDQ602829

Ümit Totur, İbrahim Çanak

Publication date: 5 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.07.014

zbMATH Keywords

Abel summabilityTauberian conditionsone-sided slow 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)

Some Tauberian theorems for statistical \((C, 1)\) summability ⋮ Some Tauberian theorems for the weighted mean methods of summability

Cites Work

• A condition under which slow oscillation of a sequence follows from Cesàro summability of its generator sequence
• A short proof of the generalized Littlewood Tauberian theorem
• Subsequential convergence conditions
• Tauberian retrieval theory
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