Error inequalities for a quadrature formula and applications
An optimal two-point quadrature formula of open type is derived. It is shown that the optimal quadrature formula has a better error bound than the well-known two-point Gauss quadrature formula. Various error inequalities for this formula are established. Applications in numerical integration are given. (C) 2004 Elsevier Ltd. All rights reserved.
error inequalities optimal quadrature formula numerical integration