A quadrature formula of Clenshaw–Curtis type for the Gegenbauer weight-function

作者：

Highlights：

•

摘要

We investigate a method for the numerical evaluation of integrals over [-1,1] of functions of the form (1-x2)λ-1/2f(x), based on approximating f(x) by a finite Chebyshev expansion. Error bounds are obtained, and the method is illustrated by an example.

论文关键词：Numerical integration,Gegenbauer weight-function,Clenshaw–Curtis quadrature,Chebyshev polynomials

论文评审过程：Received 12 September 2003, Revised 20 August 2004, Available online 11 November 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.08.014