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

作     者：Maria Rosaria Capobianco Giuliana Criscuolo Maria Rosaria Capobianco;Giuliana Criscuolo

作者机构：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 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)

年 卷 期：2023年第13卷第4期

页      面：505-511页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Gauss Quadrature Exponential Weights Cauchy P.V. Integrals Stability 

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.