TITLE:
The Stability of the Gauss-Laguerre Rule for Cauchy P.V. Integrals on the Half Line
AUTHORS:
Maria Rosaria Capobianco, Giuliana Criscuolo
KEYWORDS:
Gauss Quadrature, Exponential Weights, Cauchy P.V. Integrals, Stability
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.13 No.4,
October
19,
2023
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.