In this paper we present a new family of four-point quadrature formulas of close type. These quadrature formulas can be considered as generalizations of Gauss, Newton, Simpson and Lobatto quadrature formulas for different classes of functions. The optimal quadrature formulas in the sense of minimal errors are obtained. An analysis of error inequalities for different classes of functions is also given.
To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.