The error norm of quadrature formulae

DOI10.1007/s11075-012-9582-xzbMath1256.65025OpenAlexW2000684944MaRDI QIDQ715134

Sotirios E. Notaris

Publication date: 1 November 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-012-9582-x

zbMATH Keywords

Gauss quadratureGauss-Lobatto quadraturequadrature formulaeGauss-Kronrod quadratureerror normGauss-Radau quadratureFejér type quadratures

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (12)

The error bounds of Gauss-Radau quadrature formulae with Bernstein-Szegő weight functions ⋮ On a corrected Fejér quadrature formula of the second kind ⋮ The error norm of Clenshaw-Curtis and related quadrature formulae ⋮ Errors of Gauss-Radau and Gauss-Lobatto quadratures with double end point ⋮ Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results ⋮ The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type ⋮ Product integration rules for Chebyshev weight functions with Chebyshev abscissae ⋮ The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type ⋮ The remainder term of Gauss-Radau quadrature rule with single and double end point ⋮ The error norm of Gauss-Radau quadrature formulae for Bernstein-Szegö weight functions ⋮ On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type ⋮ Error estimates for some quadrature rules with maximal trigonometric degree of exactness

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