Gauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. II

DOI10.1016/0377-0427(90)90355-4zbMath0697.41017OpenAlexW2053007329MaRDI QIDQ910992

Sotirios E. Notaris

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90355-4

zbMATH Keywords

weight functionsStieltjes polynomialsGauss-Kronrod quadrature formulae

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximate quadratures (41A55)

Related Items (13)

Modified optimal quadrature extensions ⋮ Asymptotic behaviour of Stieltjes polynomials for ultraspherical weight functions ⋮ Stieltjes polynomials and functions of the second kind ⋮ Algorithms for the construction of high-order Kronrod rule extensions with application to sparse-grid integration ⋮ Symbolic computation of recurrence coefficients for polynomials orthogonal with respect to the Szegő-Bernstein weights ⋮ Weight functions admitting repeated positive Kronrod quadrature ⋮ Stieltjes polynomials and related quadrature formulae for a class of weight functions ⋮ Stieltjes polynomials and related quadrature formulae for a class of weight functions. II. ⋮ On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas ⋮ Error Bounds for Gauss-Kronrod Quadrature Formulae ⋮ Stopping functionals for Gaussian quadrature formulas ⋮ The error norm of Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type ⋮ Hermite and Hermite–Fejér interpolation for Stieltjes polynomials

Cites Work

• Erratum to: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type
• A Note on Extended Gaussian Quadrature Rule
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