Asymptotic behaviour of Stieltjes polynomials for ultraspherical weight functions

DOI10.1016/0377-0427(95)00107-7zbMath0867.42011OpenAlexW2011624878MaRDI QIDQ1917935

Sven Ehrich

Publication date: 13 July 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)00107-7

zbMATH Keywords

approximate quadratureasymptotic representationultraspherical polynomialsStieltjes polynomialsKronrod extensionsultraspherical weight functionGauss and Lobatto quadrature rules

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximate quadratures (41A55) Spherical harmonics (33C55)

Related Items (3)

Stieltjes polynomials and functions of the second kind ⋮ Stopping functionals for Gaussian quadrature formulas ⋮ Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature

Uses Software

• QUADPACK

Cites Work

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• Gauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. II
• On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas
• Numerical integration IV. Proceedings of the conference at the Mathematical Research Institute, Oberwolfach, Germany, November 8-14, 1992
• Asymptotic properties of Stieltjes polynomials and Gauss-Kronrod quadrature formulae
• On Stieltjes Polynomials and Gauss-Kronrod Quadrature
• On the Definiteness of Gauss-Kronrod Integration Rules
• The Exact Degree of Precision of Generalized Gauss-Kronrod Integration Rules
• Stieltjes Polynomials and Related Quadrature Rules
• A Note on Extended Gaussian Quadrature Rule
• Positivity of the Weights of Extended Gauss-Legendre Quadrature Rules

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