The Christoffel function for the Hermite weight is bell-shaped.

DOI10.1016/J.JAT.2003.11.001zbMath1058.33010OpenAlexW2068133296MaRDI QIDQ1418954

Geno Nikolov

Publication date: 14 January 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2003.11.001

zbMATH Keywords

Christoffel functionGauss-type quadrature formulaeHermite weight

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximate quadratures (41A55) Numerical integration (65D30)

Cites Work

• Unnamed Item
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• On the weight distribution of spherical t-designs
• A class of orthogonal polynomials
• Fundamental polynomials of Lagrange interpolation and coefficients of mechanical quadrature
• On Estimates for the Weights in Gaussian Quadrature in the Ultraspherical Case

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