On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies

From MaRDI portal
Publication:1300150

DOI10.1006/jath.1998.3314zbMath0952.41012OpenAlexW2144044445MaRDI QIDQ1300150

András Kroó, Szilárd Gy. Révész

Publication date: 7 September 1999

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

Full work available at URL: https://semanticscholar.org/paper/394056b63002b1c712fa8604ae15c80bf7762a34




Related Items (24)

Invariance of polynomial inequalities under polynomial maps𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretizationMarkov's inequality and polynomial mappingsHierarchical spline spaces: quasi-interpolants and local approximation estimatesMarkov-Type Inequalities with Applications in Multivariate Approximation TheoryOn the effective Putinar's Positivstellensatz and moment approximationDistributionally robust optimization with polynomial densities: theory, models and algorithmsWeighted \(L_p\) Markov factors with doubling weights on the ballA note on sharp multivariate Bernstein- and Markov-type inequalitiesBernstein inequality on conic domains and trianglesUniform approximation by discrete least squares polynomialsMultivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index setsPseudometrics, distances and multivariate polynomial inequalitiesBernstein type inequalities on star-like domains in $${\mathbb{R }}^d$$ with application to norming setsNote on a conjecture about Bernstein type inequalities for multivariate polynomialsOn multivariate polynomials with largest gradients on convex bodiesConvex polynomial approximation in \(\mathbb{R}^d\) with Freud weightsSemidefinite extreme points of the unit ball in a polynomial spaceUniversal polynomial majorants on convex bodiesPartial shape preserving approximation by bivariate Hermite-Fejér polynomialsOn the Local Approximation Power of Quasi-Hierarchical Powell-Sabin SplinesOn optimal polynomial meshesPolynomial inequalities on the $\pi/4$-circle sectorConstants in Markov's and Bernstein inequality on a finite interval in \(\mathbb{R}\)



Cites Work


This page was built for publication: On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies