Error Estimates for Gaussian Quadrature and Weighted-L1 Polynomial Approximation.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Error estimates 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 polynomial approximation problem which is treated in a more general context than that specifically required to estimate the Gaussian quadrature error.
- Statistics and Probability