Asymptotics of the Christoffel functions on a simplex in \(\mathbb{R}^d\)

DOI10.1006/jath.1998.3312zbMath0943.42012OpenAlexW2016847492MaRDI QIDQ1300149

Yuan Xu

Publication date: 3 September 2000

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

Full work available at URL: https://doi.org/10.1006/jath.1998.3312

zbMATH Keywords

asymptoticsChristoffel functionorthogonal polynomials in several variables on a simplex

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)

Related Items (10)

Data analysis from empirical moments and the Christoffel function ⋮ A modified Christoffel function and its asymptotic properties ⋮ Christoffel functions on convex and starlike domains in \(\mathbb R^d\) ⋮ A Christoffel function weighted least squares algorithm for collocation approximations ⋮ Orthogonal polynomials in several variables for measures with mass points ⋮ The empirical Christoffel function with applications in data analysis ⋮ Orthogonal polynomials and cubature formulae on balls, simplices, and spheres ⋮ Christoffel functions and universality on the boundary of the ball ⋮ Rate of convergence for geometric inference based on the empirical Christoffel function ⋮ Randomized weakly admissible meshes

Cites Work

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• Asymptotics for orthogonal polynomials and Christoffel functions on a ball
• Géza Freud, orthogonal polynomials and Christoffel functions. A case study
• Christoffel functions and Fourier series for multivariate orthogonal polynomials
• Summability of Fourier orthogonal series for Jacobi weight functions on the simplex in ℝ^{𝕕}
• Summability of Fourier orthogonal series for Jacobi weight on a ball in ℝ^{𝕕}

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