The error norm of Gaussian quadrature formulae for weight functions of Bernstein-Szegö type

DOI10.1007/BF01386411zbMath0676.41034MaRDI QIDQ1122730

Sotirios E. Notaris

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/133449

zbMATH Keywords

numerical examplesGaussian quadrature formulae

Mathematics Subject Classification ID

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

Related Items (17)

The error norm of Gauss-Lobatto quadrature formulae for weight functions of Bernstein-Szegö type ⋮ 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 ⋮ The error norm of Gauss-Radau quadrature formulae for Chebyshev weight functions ⋮ Some error bounds for Gauss-Jacobi quadrature rules ⋮ Error bounds for Gauss-type quadratures with Bernstein-Szegő weights ⋮ Error bounds for Gaussian quadrature rules using linear kernels ⋮ Maximum of the modulus of kernels of Gaussian quadrature formulae for one class of Bernstein-Szegö weight functions ⋮ Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results ⋮ Exact cubature rules for symmetric functions ⋮ 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 ⋮ Error bounds of certain Gaussian quadrature formulae ⋮ The error norm of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type ⋮ The error norm of quadrature formulae ⋮ Quadrature formulas associated with rational modifications of the Chebyshev weight functions ⋮ The error norm of Gauss-Radau quadrature formulae for Bernstein-Szegö weight functions

Cites Work

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• Fehlerabschätzungen für Gauß-Quadraturformeln. (Error estimates for Gauss quadrature formulae)
• Fehlerabschätzungen für nichtsymmetrische Gauß-Quadraturformeln. (Error estimates for nonsymmetric Gaussian quadrature formulae)
• Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type
• Error Bounds for Gaussian Quadrature of Analytic Functions
• The Error Norm of Certain Gaussian Quadrature Formulae

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