Alternative proofs of some classical type Tauberian theorems for the Cesàro summability of integrals

DOI10.1016/j.mcm.2011.10.049zbMath1255.40006OpenAlexW2068431889MaRDI QIDQ1933929

İbrahim Çanak, Ümit Totur

Publication date: 27 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.10.049

zbMATH Keywords

improper integralslow oscillationTauberian conditions and theoremsCesàro summability of integrals

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Tauberian theorems (40E05)

Related Items (12)

Tauberian conditions for the \((C, \alpha )\) integrability of functions ⋮ General Tauberian theorems for the Cesàro integrability of functions ⋮ Tauberian theorems for iterations of weighted mean summable integrals ⋮ Tauberian conditions under which convergence follows from Cesàro summability of triple integrals over \({\mathbb{R}}_+^3\) ⋮ Unnamed Item ⋮ On Tauberian conditions for the logarithmic methods of integrability ⋮ Tauberian theorems for sequences in 2-normed spaces ⋮ On the \((C,1)\) summability method of improper integrals ⋮ Some Tauberian theorems for iterations of Hölder integrability method ⋮ Unnamed Item ⋮ TAUBERIAN CONDITIONS FOR $q$-CES\`{A}RO INTEGRABILITY ⋮ Tauberian conditions under which convergence follows from Cesàro summability of double integrals over R2

Cites Work

• A theory of divergent integrals
• Unnamed Item

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