Tauberian theorems for the \((J,p)\) summability method

DOI10.1016/j.aml.2011.12.017zbMath1254.40006OpenAlexW2220035663MaRDI QIDQ452950

Ümit Totur, İbrahim Çanak

Publication date: 18 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.12.017

zbMATH Keywords

Tauberian theoremweighted mean summabilitypower series methodslow oscillation

Mathematics Subject Classification ID

Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Special methods of summability (40G99) Tauberian theorems (40E05)

Related Items (5)

Unnamed Item ⋮ Some Tauberian theorems for the weighted mean method of summability of double sequences ⋮ On regularly weighted generated sequences ⋮ A Tauberian theorem for the power-series summability method ⋮ A theorem for the \((J,p)\) summability method

Cites Work

• Unnamed Item
• A short proof of the generalized Littlewood Tauberian theorem
• Theorems of Tauberian type for \((J,p_n)\) summation methods
• Necessary and sufficient Tauberian conditions for certain weighted mean methods of summability
• A Tauberian theorem for $\left( {J,p_n} \right)$ summability

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