Error bounds of Micchelli-Rivlin quadrature formula for analytic functions

DOI10.1016/J.JAT.2013.02.002zbMath1281.41017OpenAlexW2055970224MaRDI QIDQ387253

Miodrag M. Spalević, Aleksandar V. Pejčev

Publication date: 20 December 2013

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2013.02.002

zbMATH Keywords

error boundcontour integral representationChebyshev weight function of the first kindMicchelli-Rivlin quadrature formularemainder term for analytic functions

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30) Remainders in approximation formulas (41A80)

Related Items (6)

The error bounds of Gauss-Radau quadrature formulae with Bernstein-Szegő weight functions ⋮ Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results ⋮ Error bounds for kronrod extension of generalizations of Micchelli-Rivlin quadrature formula for analytic functions ⋮ The error bounds of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type ⋮ Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions ⋮ The error bounds of Gauss quadrature formulae for the modified weight functions of Chebyshev type

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• On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions
• Turán Formulae and Highest Precision Quadrature Rules for Chebyshev Coefficients
• Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients
• The remainder term for analytic functions of symmetric Gaussian quadratures

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