Inequalities for ultraspherical polynomials and application to quadrature

DOI10.1016/0377-0427(93)90135-XzbMath0792.33006MaRDI QIDQ1318389

Klaus-Jürgen Förster

Publication date: 27 March 1994

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

zbMATH Keywords

inequalitiesGaussian quadratureultraspherical polynomialPeano constant

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical integration (65D30) Inequalities involving other types of functions (26D07)

Related Items

The Gegenbauer polynomials and typically real functions ⋮ Pointwise error estimates and local superconvergence of Jacobi expansions ⋮ Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator ⋮ Superconvergence of Legendre-Gauss-lobatto interpolation and spectral collocation ⋮ Inequalities for the associated Legendre functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniform inequalities for ultraspherical polynomials and Bessel functions of fractional order
• Inequalities for ultraspherical polynomials and the gamma function
• Inequalities for Legendre functions and Gegenbauer functions
• Generalized Jacobi weights, Christoffel functions, and zeros of orthogonal polynomials
• Numerical integration III. Proceedings of the conference held at the Mathematisches Forschungsinstitut, Oberwolfach, FRG, Nov. 8-14, 1987
• Error bounds for quadrature formulas near Gaussian quadrature
• Some Extensions of W. Gautschi's Inequalities for the Gamma Function
• On Estimates for the Weights in Gaussian Quadrature in the Ultraspherical Case
• ON THE ESTIMATION OF LINEAR FUNCTIONALS
• Unitarity and High-Energy Behavior of Scattering Amplitudes