Interpolatory quadrature formulae with Chebyshev abscissae

摘要

We review interpolatory quadrature formulae, relative to the Legendre weight function on [−1,1], having as nodes the zeros of any one of the four Chebyshev polynomials of degree n and possibly one or both of the endpoints of the interval of integration. Some of the results we present here are new, and appear in the literature for the first time.