Stieltjes polynomials and Gauss-Kronrod quadrature for Jacobi weight functions

DOI10.1007/s00211-002-0412-2zbMath1035.41020OpenAlexW2066956883MaRDI QIDQ1412185

Franz Peherstorfer, Knut Petras

Publication date: 9 November 2003

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

Full work available at URL: https://doi.org/10.1007/s00211-002-0412-2

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (19)

Averaged Gauss quadrature formulas: properties and applications ⋮ Estimating the error of Gaussian quadratures with simple and multiple nodes by using their extensions with multiple nodes ⋮ Quadrature formulas for Fourier coefficients ⋮ Error estimates for certain cubature formulae ⋮ On the computation of Patterson-type quadrature rules ⋮ Averaged cubature schemes on the real positive semiaxis ⋮ Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules ⋮ Modified anti-Gaussian quadrature formulae of Chebyshev type ⋮ On generalized averaged Gaussian formulas. II ⋮ A note on generalized averaged Gaussian formulas for a class of weight functions ⋮ Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules ⋮ Unnamed Item ⋮ A note on generalized averaged Gaussian formulas ⋮ Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients ⋮ Positive quadrature formulas III: asymptotics of weights ⋮ Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind ⋮ Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind ⋮ Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials ⋮ On generalized averaged Gaussian formulas

Uses Software

• QUADPACK

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