On the remainder term of Gauss-Radau quadrature with Chebyshev weight of the third kind for analytic functions

DOI10.1016/j.amc.2012.09.002zbMath1308.65029OpenAlexW2050378072MaRDI QIDQ2017944

Aleksandar V. Pejčev, Miodrag M. Spalević

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.002

zbMATH Keywords

error boundcontour integral representationremainder term for analytic functionsChebyshev weight functionGauss-Radau quadrature formula

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Numerical quadrature and cubature formulas (65D32)

Related Items

Error estimates of Gaussian quadrature formulae with the third class of Bernstein-Szegő weights, 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, 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, On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type

Cites Work

• On the remainder term of Gauss-Radau quadratures for analytic functions
• On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures
• Error Bounds for Gaussian Quadrature of Analytic Functions
• On the error term of symmetric Gauss-Lobatto quadrature formulae for 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
• The remainder term for analytic functions of Gauss-Lobatto quadratures