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.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.