Error Bounds for Gaussian Quadrature and Weighted-$L^1$ Polynomial Approximation
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Error bounds for Gaussian quadrature are given in terms of the number of quadrature points and smoothness properties of the function whose integral is being approximated. An intermediate step involves a weighted-L**1 polynomial approximation problem which is treated in a more general context than that specifically required to bound the Gaussian quadrature error.
author list (cited authors)
DeVore, R. A., & Scott, L. R.