Ying Guang Shi(1995 & 1999) obtained some quadratures, which is based onthe zeros of the so-called s-orthogonal polynomials with respect to some JacobiB.Bojanov(1996) and our recent work, we give here a simple and unified approachto these questions of this type and obtain quadratures in terms of the divided differ-ences, which is based on an appropriate representation of the Hermite interpolatingpolynomial, of corresponding function at the zeros of the appropriate s-orthogonalpolynomial with multiplicities.
