On the density of multivariate polynomials with varying weights

DOI10.1090/PROC/14882OpenAlexW2982690159MaRDI QIDQ5880228

András Kroó, József Szabados

Publication date: 7 March 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14882

zbMATH Keywords

densityvarying weightsapproximation by multivariate weighted polynomialsFreud type weightsmultivariate incomplete polynomials

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10)

Cites Work

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• Canonical products and the weights \(\exp (-| x| ^{\alpha})\), \(\alpha >1\), with applications
• Uniform approximation by incomplete polynomials
• On Markov-Bernstein-type inequalities and their applications
• Weighted approximation with varying weight
• Weighted polynomial approximation with Freud weights
• Weierstrass type approximation by weighted polynomials in \(\mathbb{R}^d\)
• Jackson and Bernstein theorems for the weight \(\exp(-|x|)\) on \(\mathbb R\)
• Density of bivariate homogeneous polynomials on non-convex curves

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