On Bernstein- and Marcinkiewicz-type inequalities on multivariate \(C^\alpha\)-domains

DOI10.1016/j.jat.2024.106101MaRDI QIDQ6651973

Andriy Prymak, András Kroó, Feng Dai

Publication date: 11 December 2024

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

zbMATH Keywords

multivariate polynomialsBernstein-type inequalitysampling discretizationMarcinkiewicz-type inequalities\(C^\alpha\)-domains

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Harmonic analysis in several variables (42B99) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Approximation by polynomials (41A10)

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