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The Stability of the Gauss-Laguerre Rule for Cauchy P.V. Integrals on the Half Line
Istituto per le Applicazioni del Calcolo “Mauro Picone”—CNR, Napoli, Italy
Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli “Federico II”, Napoli, Italy
- 1 Istituto per le Applicazioni del Calcolo “Mauro Picone”—CNR, Napoli, Italy
- 2 Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli “Federico II”, Napoli, Italy
American Journal of Computational Mathematics·Volume 13 (2023)·Pages 505–511·Published 13 October 2023·DOI10.4236/ajcm.2023.134027
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Abstract
In this paper , the authors give a different and more precise analysis of the stability of the classical Gauss-Laguerre quadrature rule for the Cauchy P.V. integrals on the half line. Moreover, in order to obtain this result they give some new estimates for the distance of the zeros of the Laguerre polynomials that can be useful also in other contests.
KeywordsGauss QuadratureExponential WeightsCauchy P.V. IntegralsStability
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