Journal of Inequalities and Applications
Volume 5 (2000), Issue 3, Pages 201-225
doi:10.1155/S1025583400000114
Abstract
A procedure to construct quadrature formulae which are exact for solutions of linear differential equations and are optimal in the sense of Sard is discussed. We give necessary and sufficient conditions under which such formulae do exist. Several formulae obtained by applying this method are considered and compared with well known formulae.