Some observations on Gauss-Legendre quadrature error estimates for analytic functions

DOI10.1016/0771-050X(81)90009-7zbMath0454.41027OpenAlexW2000221254MaRDI QIDQ1149597

Frank G. Lether

Publication date: 1981

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0771-050x(81)90009-7

zbMATH Keywords

numerical integration of analytic functions

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximate quadratures (41A55)

Related Items

Gaussian integration of Chebyshev polynomials and analytic functions, A note on the error in Gaussian quadrature

Cites Work

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• Error-Bounds for the Evaluation of Integrals by the Euler-Maclaurin Formula and by Gauss-Type Formulae
• Asymptotic Error Estimates for the Gauss Quadrature Formula
• On the Error in the Numerical Integration of Chebyshev Polynomials
• On the Gaussian Integration of Chebyshev Polynomials
• A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders