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Convergenza di formule gaussiane per il calcolo delle derivate di integrali A valor principale secondo Cauchy

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Abstract

We consider gaussian quadrature rules for the numerical approximation of the derivatives of Cauchy principal value integrals. Convergence results are given and some estimates of the remainder are established in relation to the regularity of the «density» function.

Sommario

Si dimostra un teorema di convergenza relativo a formule di quadratura di tipo gaussiano per il calcolo delle derivate di integrali a valor principale secondo Cauchy con peso. Si assegnano anche stime dell'errore dipendenti dalla regolarità della funzione «densità».

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  1. Istituto per Applicazioni della Matematica, C.N.R., Via P. Castellino 111, 80131, Napoli

    G. Criscuolo & G. Mastroianni

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  1. G. Criscuolo
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  2. G. Mastroianni
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Criscuolo, G., Mastroianni, G. Convergenza di formule gaussiane per il calcolo delle derivate di integrali A valor principale secondo Cauchy. Calcolo 24, 179–192 (1987). https://doi.org/10.1007/BF02575821

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  • DOI: https://doi.org/10.1007/BF02575821

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