Abstract
This paper is concerned with estimating the Gaussian quadrature error in the numerical integration of an analytic function ⨍(x) over the interval−1< x<1. An approximate expression for the quadrature error is given in terms of a contour integral in the complex plane. Known techniques can be applied directly to this contour integral to obtain quadrature error estimates. This approach has the advantage of avoiding the computation of high order derivatives as required in classical Gaussian quadrature error representations.
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