Definite quadrature formulae are used to obtain inclusions for the int
egral of a function f for which f((r)) has no sign change. In this pap
er, error bounds for optimal definite quadrature formulae for the clas
ses C-r[0, 1] (r greater than or equal to 1) are considered. In the ca
se of odd r (except for special cases), such estimates seem to be unkn
own. (C) 1995 Academic Press, Inc.