Is Gauss quadrature optimal for analytic functions?

DOI10.1007/BF01389877zbMath0572.41017OpenAlexW2056420905MaRDI QIDQ1062222

Marek A. Kowalski, Arthur G. Werschulz, Henryk Woźniakowski

Publication date: 1985

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133024

zbMATH Keywords

Gauss quadratureworst-caseasymptotic settingsoptimal quadratures

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)

Related Items

New lower bound estimates for quadratures of bounded analytic functions, On tensor product approximation of analytic functions, Complexity of differential and integral equations, Gaussian integration of Chebyshev polynomials and analytic functions, Blaschke products and optimal recovery in \(H^{\infty}\), Fast and Rigorous Arbitrary-Precision Computation of Gauss--Legendre Quadrature Nodes and Weights, Gauss-Hermite quadratures for functions from Hilbert spaces with Gaussian reproducing kernels, Polyharmonic Hardy spaces on the complexified annulus and error estimates of cubature formulas, Optimal quadrature for analytic functions, Bounds on the error of Fejér and Clenshaw-Curtis type quadrature for analytic functions

Cites Work

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• Asymptotic minimum norm quadrature formulae
• Asymptotic expansions and Hua-harmonic functions on bounded homogeneous domains
• Bounds on the error of Gauss-type quadratures
• Asymptotic properties of minimum norm and optimal quadratures
• Error Bounds for Gaussian Quadrature of Analytic Functions
• On the Optimal Solution of Large Linear Systems
• Error Estimates for Gauss Quadrature Formulas for Analytic Functions
• Asymptotic Error Estimates for the Gauss Quadrature Formula
• Asymptotic estimates for the error of the Gauss-Legendre quadrature formula
• Optimal Approximation in Hilbert Spaces with Reproducing Kernel Functions