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A theory of divergent integrals

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Publication:1023062
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DOI10.1016/j.aml.2008.06.045zbMath1171.40001OpenAlexW2089815263MaRDI QIDQ1023062

Andrea Laforgia

Publication date: 10 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.aml.2008.06.045


zbMATH Keywords

Cesàro summabilitydivergent integrals


Mathematics Subject Classification ID

Convergence and divergence of integrals (40A10)


Related Items

Tauberian conditions for the \((C, \alpha )\) integrability of functions ⋮ Some Tauberian theorems for weighted means of double integrals ⋮ Alternative proofs of some classical type Tauberian theorems for the Cesàro summability of integrals ⋮ A Tauberian theorem for Cesáro summability of integrals ⋮ Tauberian conditions under which convergence follows from Cesàro summability of triple integrals over \({\mathbb{R}}_+^3\) ⋮ The problem of missing terms in term by term integration involving divergent integrals ⋮ Interpretations of some distributional compositions related to Dirac delta function via Fisher's method ⋮ Some Tauberian theorems for iterations of Hölder integrability method ⋮ Tauberian conditions under which convergence follows from Cesàro summability of double integrals over R2



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