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The Stability of the Gauss-Laguerre Rule for Cauchy P.V. Integrals on the Half Line

The Stability of the Gauss-Laguerre Rule for Cauchy P.V. Integrals on the Half Line
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摘要 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. 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.
作者 Maria Rosaria Capobianco Giuliana Criscuolo Maria Rosaria Capobianco;Giuliana Criscuolo(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)
出处 《American Journal of Computational Mathematics》 2023年第4期505-511,共7页 美国计算数学期刊(英文)
关键词 Gauss Quadrature Exponential Weights Cauchy P.V. Integrals Stability Gauss Quadrature Exponential Weights Cauchy P.V. Integrals Stability
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