Error Bounds for Optimal Definite Quadrature Formulae Original Research Article

Definite quadrature formulae are used to obtain inclusions for the integral of a function f for which f(r) has no sign change. In this paper, error bounds for optimal definite quadrature formulae for the classes Cr[0, 1] (r ≥ 1) are considered. In the case of odd r (except for special cases), such estimates seem to be unknown.