The Taylor quadrature method with constant weight function

Abstract

Abstract In this paper, we produced n-points quadrature method which is a Derivative-based Quadrature method on the compact interval [-1,1] with a constant weight function. This n-point Quadrature method looks like as Taylor series and includes up to n - 1 derivatives of a given function. This quadrature rule is the exact result to the polynomials of degree 2n-1 or less by the best values of the points and weights. We will show rules and errors up to n=5 on this paper.