Quadrature formulas for Fourier coefficients

DOI10.1016/j.cam.2009.02.097zbMath1170.65015OpenAlexW2062891974MaRDI QIDQ2389570

Guergana Petrova, Borislav D. Bojanov

Publication date: 17 July 2009

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.2009.02.097

zbMATH Keywords

orthogonal polynomialsChebyshev polynomialGaussian quadraturesFourier-Chebyshev coefficients

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items

Estimating the error of Gaussian quadratures with simple and multiple nodes by using their extensions with multiple nodes ⋮ Error estimations of Turán formulas with Gori-Micchelli and generalized Chebyshev weight functions ⋮ Quadrature formula for computed tomography ⋮ Error bounds of Micchelli-Rivlin quadrature formula for analytic functions ⋮ Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules ⋮ 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 ⋮ Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients ⋮ Error bounds of the Micchelli-Sharma quadrature formula for analytic functions ⋮ Error bounds of a quadrature formula with multiple nodes for the Fourier-Chebyshev coefficients for analytic functions

Cites Work

• Some new characterizations of the Chebyshev polynomials
• A property of Chebyshev polynomials
• Stieltjes polynomials and Gauss-Kronrod quadrature for Jacobi weight functions
• On a quadrature formula of Micchelli and Rivlin
• The Exact Degree of Precision of Generalized Gauss-Kronrod Integration Rules
• Stieltjes Polynomials and Related Quadrature Rules
• A Note on Extended Gaussian Quadrature Rule
• Turán Formulae and Highest Precision Quadrature Rules for Chebyshev Coefficients
• Stieltjes polynomials and related quadrature formulae for a class of weight functions
• Ultraspherical Gauss--Kronrod Quadrature Is Not Possible for $\lambda > 3$
• The Optimum Addition of Points to Quadrature Formulae
• An overview of the computational aspects of Kronrod quadrature rules
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