Bernstein type inequalities on star-like domains in $${\mathbb{R }}^d$$ with application to norming sets

DOI10.1007/s13373-013-0033-3zbMath1284.41005OpenAlexW2470922878WikidataQ59293378 ScholiaQ59293378MaRDI QIDQ5396576

András Kroó

Publication date: 31 January 2014

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13373-013-0033-3

zbMATH Keywords

multivariate polynomialsoptimal meshesBernstein-type inequalitiesnorming setsstar-like sets

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)

Related Items (11)

𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretization ⋮ Optimal polynomial admissible meshes on some classes of compact subsets of \(\mathbb{R}^d\) ⋮ Multivariate ``needle polynomials with application to norming sets and cubature formulas ⋮ 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 ⋮ On the existence of optimal meshes in every convex domain on the plane ⋮ On generalized least power approximation ⋮ NORMING SETS AND RELATED REMEZ-TYPE INEQUALITIES ⋮ Geometric computation of Christoffel functions on planar convex domains ⋮ Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies

Cites Work

• Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder
• On optimal polynomial meshes
• Uniform approximation by discrete least squares polynomials
• Inégalité de Markov dans les ensembles effiles
• On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies
• Bernstein type theorems for compact sets in \(\mathbb{R}^ n\) revisited
• Markov-type inequalities for surface gradients of multivariate polynomials
• Weakly Admissible Meshes and Discrete Extremal Sets
• Bounds on the derivatives of polynomials on Banach spaces
• Error estimates for scattered data interpolation on spheres
• Complex Equilibrium Measure and Bernstein Type Theorems for Compact Sets in R n
• Polynomial inverse images and polynomial inequalities
• Unnamed Item

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