Error Estimates for Gauss Quadrature Formulas for Analytic Functions

Abstract

Introduction.The estimation of quadrature errors for analytic functions has been considered by Davis and Rabinowitz [1].An estimate for the error of the Gaussian quadrature formula for analytic functions was obtained by Davis [2].McNamee [3] has also discussed the estimation of error of the Gauss-Legendre quadrature for analytic functions.Convergence of the Gaussian quadratures was discussed by Barrett [4].