Quadrature formulas associated with Rogers–Szegő polynomials

https://doi.org/10.1016/j.camwa.2008.10.068Get rights and content
Under an Elsevier user license
open archive

Abstract

This paper is concerned with the estimation of integrals of 2π-periodic functions with respect to the Hermite weight function by passing to the unit circle of the complex plane and considering Szegő and interpolatory-type quadrature formulas with respect now to the Rogers–Szegő weight function. Several numerical experiments are given along with estimations of the error.

Keywords

Szegő quadrature formulas
Interpolatory-type quadrature formulas
Rogers–Szegő polynomials
Error bounds

Cited by (0)