ABSTRACT
In this chapter we show how Chebyshev polynomials and some of their fundamental properties can be made to play an important part in two key techniques of numerical integration.
• Gaussian quadrature estimates an integral by combining values of the integrand at zeros of orthogonal polynomials. We consider the special case of Gauss-Chebyshev quadrature, where particularly simple procedures follow for suitably weighted integrands.
