Error bounds of certain Gaussian quadrature formulae

DOI10.1016/j.cam.2009.04.004zbMath1205.41034OpenAlexW1993121375MaRDI QIDQ970393

Miroslav S. Pranić, Miodrag M. Spalević

Publication date: 17 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.04.004

zbMATH Keywords

analytic functionerror boundGauss quadratureremainder termkernelelliptic contour

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (11)

The error bounds of Gauss-Radau quadrature formulae with Bernstein-Szegő weight functions ⋮ Errors of Gauss-Radau and Gauss-Lobatto quadratures with double end point ⋮ Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szegö weight functions ⋮ Error estimates of anti-Gaussian quadrature formulae ⋮ 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 ⋮ Error bounds of Gaussian quadrature formulae for one class of Bernstein-Szegő weights ⋮ The error norm of quadrature formulae ⋮ Error estimates for quadrature rules with maximal even trigonometric degree of exactness ⋮ Error estimates for some quadrature rules with maximal trigonometric degree of exactness ⋮ The error bounds of Gauss-Lobatto quadratures for weights of Bernstein-Szegö type

Cites Work

• Erratum to: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type
• The error norm of Gaussian quadrature formulae for weight functions of Bernstein-Szegö type
• Error estimates for Gaussian quadrature formulae
• Some error expansions for Gaussian quadrature
• Estimating quadrature errors for analytic functions using kernel representations and biorthogonal systems
• Bounds on the error of Gauss-type quadratures
• Error Bounds for Gaussian Quadrature of Analytic Functions
• A Note on the Contour Integral Representation of the Remainder Term for a Gauss–Chebyshev Quadrature Rule
• The remainder term for analytic functions of symmetric Gaussian quadratures

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