Quadrature rules from finite orthogonality relations for Bernstein-Szegö polynomials-Reference-Cited by-同舟云学术

Quadrature rules from finite orthogonality relations for Bernstein-Szegö polynomials

Published:2018-08-14 Issue:12 Volume:146 Page:5333-5347
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

van Diejen J.,Emsiz E.

Abstract

We glue two families of Bernstein-Szegö polynomials to construct the eigenbasis of an associated finite-dimensional Jacobi matrix. This gives rise to finite orthogonality relations for this composite eigenbasis of Bernstein-Szegö polynomials. As an application, a number of Gauss-like quadrature rules are derived for the exact integration of rational functions with prescribed poles against the Chebyshev weight functions.

Funder

Fondo Nacional de Desarrollo Científico y Tecnológico

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2018-146-12/S0002-9939-2018-14186-6/proc14186_AM.pdf

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