𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretization

DOI10.1090/tran/8550zbMath1496.41006arXiv2010.06728OpenAlexW4252869307MaRDI QIDQ5036107

Feng Dai, Andriy Prymak

Publication date: 23 February 2022

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

Full work available at URL: https://arxiv.org/abs/2010.06728

zbMATH Keywords

multivariate polynomialscubature formulasBernstein type inequalitysampling discretization\(C^2\)-domainsMarcinkiewicz type inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (6)

Sampling discretization and related problems ⋮ Weighted \(L_p\) Markov factors with doubling weights on the ball ⋮ \(L_p\) Bernstein type inequalities for star like Lip \(\alpha\) domains ⋮ Bernstein inequality on conic domains and triangles ⋮ Approximation and localized polynomial frame on double hyperbolic and conic domains ⋮ Polynomial approximation in several variables

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