Stieltjes polynomials and related quadrature formulae for a class of weight functions

DOI10.1090/S0025-5718-96-00732-6zbMath0853.41019OpenAlexW1970473081MaRDI QIDQ4889932

Sotirios E. Notaris, Walter Gautschi

Publication date: 17 December 1996

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-96-00732-6

zbMATH Keywords

Gauss-Kronrod quadrature

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (7)

Quadrature formulas for Fourier coefficients ⋮ On generalized averaged Gaussian formulas. II ⋮ A note on generalized averaged Gaussian formulas for a class of weight functions ⋮ Estimating the error in matrix function approximations ⋮ Stieltjes polynomials and related quadrature formulae for a class of weight functions. II. ⋮ Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials ⋮ Stopping functionals for Gaussian quadrature formulas

Cites Work

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• The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators
• Weight functions admitting repeated positive Kronrod quadrature
• Gauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. II
• Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type
• A Family of Gauss-Kronrod Quadrature Formulae
• On Computing Gauss-Kronrod Quadrature Formulae
• Stieltjes Polynomials and Related Quadrature Rules
• A Note on Extended Gaussian Quadrature Rule

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