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

AJCM > Vol.13 No.4, December 2023

American Journal of Computational Mathematics

Volume 13, Issue 4 (December 2023)

ISSN Print: 2161-1203 ISSN Online: 2161-1211

Google-based Impact Factor: 1.05 Citations

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

HTML XML

Download as PDF (Size: 301KB) PP. 505-511

DOI: 10.4236/ajcm.2023.134027 119 Downloads 443 Views

Author(s)

Maria Rosaria Capobianco¹, Giuliana Criscuolo²

Affiliation(s)

¹Istituto per le Applicazioni del Calcolo “Mauro Picone”—CNR, Napoli, Italy.
²Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli “Federico II”, Napoli, Italy.

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.

KEYWORDS

Gauss Quadrature, Exponential Weights, Cauchy P.V. Integrals, Stability

Share and Cite:

Capobianco, M. and Criscuolo, G. (2023) The Stability of the Gauss-Laguerre Rule for Cauchy P.V. Integrals on the Half Line. American Journal of Computational Mathematics, 13, 505-511. doi: 10.4236/ajcm.2023.134027.

Cited by

No relevant information.

Journals Menu

Follow SCIRP

	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies