An asymptotic expansion for the weights of Gaussian quadrature formulae

DOI10.1007/BF00113915zbMath0845.41025MaRDI QIDQ1912680

Knut Petras

Publication date: 11 September 1996

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Gaussian quadrature formula

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items

Weighted discrete least-squares polynomial approximation using randomized quadratures, Orthogonal Laurent polynomials corresponding to certain strong Stieltjes distributions with applications to numerical quadratures

Cites Work

• Unnamed Item
• On the variance of Gaussian quadrature formulae in the ultraspherical case
• On Estimates for the Weights in Gaussian Quadrature in the Ultraspherical Case
• A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds