Positive quadrature formulas III: asymptotics of weights

DOI10.1090/S0025-5718-08-02119-4zbMath1198.65051OpenAlexW1991859856MaRDI QIDQ3055068

Franz Peherstorfer

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02119-4

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical quadrature and cubature formulas (65D32)

Related Items (14)

Generalized averaged Gauss quadrature rules for the approximation of matrix functionals ⋮ Error estimates for certain cubature formulae ⋮ One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval ⋮ Some biorthogonal polynomials arising in numerical analysis and approximation theory ⋮ On the computation of Patterson-type quadrature rules ⋮ Modified anti-Gaussian quadrature formulae of Chebyshev type ⋮ Error estimates of anti-Gaussian quadrature formulae ⋮ On generalized averaged Gaussian formulas. II ⋮ A note on generalized averaged Gaussian formulas for a class of weight functions ⋮ One-sided approximation in \(L\) of the characteristic function of an interval by trigonometric polynomials ⋮ Positive trigonometric quadrature formulas and quadrature on the unit circle ⋮ Positive interpolatory quadrature rules generated by some biorthogonal polynomials ⋮ Internality of generalized averaged Gaussian quadrature rules and truncated variants for modified Chebyshev measures of the second kind ⋮ Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials

Cites Work

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