Asymptotic error estimates for Gaussian quadrature formulas

Author:

Chen T. H. Charles

Abstract

This paper gives derivative-free asymptotic error estimates for the Gaussian quadrature formula with the nonnegative weight function w ( x ) w(x) belonging to a certain class. Numerical examples are presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference13 articles.

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2. Asymptotic error estimates for the Gauss quadrature formula;Chawla, M. M.;Math. Comp.,1968

3. Computer Science and Applied Mathematics;Davis, Philip J.,1975

4. The evaluation and estimation of the coefficients in the Chebyshev series expansion of a function;Elliott, David;Math. Comp.,1964

5. Error estimates for Gauss-Jacobi quadrature formulae;Freud, Géza,1973

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