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.

The stability of the Gauss-Laguerre rule for Cauchy P.V. integrals on the half line

Capobianco MR;
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.
2023
Istituto Applicazioni del Calcolo ''Mauro Picone''
Gauss Quadrature
Exponential Weights
Cauchy P.V. Integrals
Stability
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/189583
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