Abstract:

The goal here is to give a simple approach to a quadrature formula based on the divided diffierences of the integrand at the zeros of the nth Chebyshev polynomial of the first kind, and those of the (n-1)st Chebyshev polynomial of the second kind. Explicit expressions for the corresponding coefficients of the quadrature rule are also found after expansions of the divided diffierences, which was proposed in [14].

Key words: quadrature formula, expansions of divided di?erences, Chebyshev nodes