On the \((C,1)\) summability method of improper integrals

DOI10.1016/j.amc.2013.05.026zbMath1323.40002OpenAlexW1987486419MaRDI QIDQ2513536

Ümit Totur, İbrahim Çanak

Publication date: 28 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.05.026

zbMATH Keywords

Tauberian theoremsslowly oscillating functionsde la Vallée Poussin meansTauberian conditionsgeneral control modulo\((C,1)\) summability of integral

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Convergence and divergence of integrals (40A10)

Related Items (5)

Tauberian conditions for the \((C, \alpha )\) integrability of functions ⋮ General Tauberian theorems for the Cesàro integrability of functions ⋮ On Tauberian conditions for the logarithmic methods of integrability ⋮ Some Applications of Summability Theory ⋮ Some Tauberian theorems for iterations of Hölder integrability method

Cites Work

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• A Tauberian theorem for Cesáro summability of integrals
• One-sided Tauberian conditions for \((C,1)\) summability method of integrals
• Alternative proofs of some classical type Tauberian theorems for the Cesàro summability of integrals
• Tauberian conditions for Cesàro summability of integrals

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