A condition under which slow oscillation of a sequence follows from Cesàro summability of its generator sequence

DOI10.1016/j.amc.2010.03.017zbMath1197.40007OpenAlexW2000965519MaRDI QIDQ972938

İbrahim Çanak, Ümit Totur

Publication date: 21 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

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

zbMATH Keywords

Cesàro summabilityTauberian theoremsslowly oscillating sequences

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Tauberian theorems (40E05)

Related Items (11)

Some Tauberian theorems for statistical \((C, 1)\) summability ⋮ Tauberian conditions under which convergence follows from Abel summability ⋮ Lacunary statistically slowly oscillating continuity in abstract spaces ⋮ Reachability/controllability of high order mix-valued logical networks ⋮ Extended Tauberian theorem for the weighted mean method of summability ⋮ Tauberian conditions with controlled oscillatory behavior ⋮ Unnamed Item ⋮ Some general Tauberian conditions for the weighted mean summability method ⋮ On the limit inferior and limit superior for double sequences ⋮ Some Tauberian theorems for the weighted mean methods of summability ⋮ Unnamed Item

Cites Work

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• On deferred Cesaro means
• A Tauberian theorem with a generalized one-sided condition
• An extended Tauberian theorem for the \((C,1)\) summability method
• Tauberian retrieval theory

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