Markov-type inequalities for surface gradients of multivariate polynomials

DOI10.1006/jath.2002.3719zbMath1374.41057OpenAlexW2091120398MaRDI QIDQ1680859

András Kroó

Publication date: 17 November 2017

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

Full work available at URL: https://doi.org/10.1006/jath.2002.3719

zbMATH Keywords

multivariate polynomialsgradientssmooth domains

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63)

Related Items (4)

Multivariate fast decreasing polynomials ⋮ On the existence of optimal meshes in every convex domain on the plane ⋮ Bernstein type inequalities on star-like domains in $${\mathbb{R }}^d$$ with application to norming sets ⋮ On optimal polynomial meshes

Cites Work

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• Markov's inequality and \(C^{\infty}\) functions on sets with polynomial cusps
• Inégalité de Markov dans les ensembles effiles
• A Markov inequality in several dimensions
• On Markoff's inequality
• Markov-Bernstein type inequalities for multivariate polynomials on sets with cusps
• Bounds on the derivatives of polynomials on Banach spaces
• Markov inequality on sets with polynomial parametrization
• Remez-Type Inequalities on the Size of Generalized Polynomials
• Tangential Markov inequalities characterize algebraic submanifolds of R^n

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