Stieltjes polynomials and functions of the second kind

DOI10.1016/0377-0427(95)00120-4zbMath0869.33004OpenAlexW2023900389MaRDI QIDQ1917950

Franz Peherstorfer

Publication date: 7 September 1997

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(95)00120-4

zbMATH Keywords

Stieltjes polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical quadrature and cubature formulas (65D32)

Related Items (7)

Estimates for the first and second derivatives of the Stieltjes polynomials ⋮ On the computation of Patterson-type quadrature rules ⋮ Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules ⋮ A note on generalized averaged Gaussian formulas ⋮ Stopping functionals for Gaussian quadrature formulas ⋮ Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature ⋮ Hermite and Hermite–Fejér interpolation for Stieltjes polynomials

Cites Work

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• A Note on Extended Gaussian Quadrature Rule
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• Positivity of the Weights of Extended Gauss-Legendre Quadrature Rules

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