A quadrature formula of Clenshaw-Curtis type for the Gegenbauer weight-function
There is given a method for the numerical calculation of integrals of the functions of the form \((1-x^2)^{\lambda-1/2}f(x)\). The method is based on approximation of the function \(f(x)\) by the Chebyshev expansions. Error bounds of the method are derived. An example illustrates the method.
scientific article; zbMATH DE number 2164841