Markov-Bernstein type inequalities for multivariate polynomials on sets with cusps

DOI10.1006/jath.1999.3378zbMath0953.41008OpenAlexW2066902620MaRDI QIDQ1969971

András Kroó, József Szabados

Publication date: 22 January 2001

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3378

zbMATH Keywords

Bernstein inequalityderivativesmultivariate polynomialsMarkov inequalitypolynomial curvesdomains with cusps

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (11)

Markov's inequality and polynomial mappings ⋮ On Bernstein-Markov-type inequalities for multivariate polynomials in \(L_q\)-norm ⋮ Geometry of holomorphic mappings and Hölder continuity of the pluricomplex Green function ⋮ Markov-type inequalities for surface gradients of multivariate polynomials ⋮ Weighted \(L_p\) Markov factors with doubling weights on the ball ⋮ On L^p Markov type inequality for some cuspidal domains ⋮ Markov-type inequalities on certain irrational arcs and domains ⋮ On optimal polynomial meshes ⋮ Sharp \(L_p\) Markov type inequality for cuspidal domainsin \(\mathbb{R}^d\) ⋮ Sharp \(L_p\) Bernstein type inequality for cuspidal domains in \(\mathbb{R}^d\) ⋮ \(L_p\) Markov exponent of certain UPC sets

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
• Markov inequality on sets with polynomial parametrization
• Remez-Type Inequalities on the Size of Generalized Polynomials

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