Characterization of compact subsets of algebraic varieties in terms of Bernstein type inequalities
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Publication:2717545
DOI10.4064/sm-141-3-221-234zbMath0987.41005OpenAlexW1177825964MaRDI QIDQ2717545
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Publication date: 17 June 2001
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/216781
Zariski dimensionBernstein and van der Corput-Schaake type inequalitiestraces of polynomials on semialgebraic sets
Real algebraic sets (14P05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Semialgebraic sets and related spaces (14P10) Rate of convergence, degree of approximation (41A25)
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Markov-Type Inequalities with Applications in Multivariate Approximation Theory ⋮ Polynomial inequalities on certain algebraic hypersurfaces ⋮ Bernstein type inequalities for restrictions of polynomials to complex submanifolds of \(\mathbb{C}^N\) ⋮ Equivalence of the local Markov inequality and a Kolmogorov type inequality in the complex plane ⋮ Smooth parametrizations in dynamics, analysis, diophantine and computational geometry ⋮ Markov inequality in several variables ⋮ Analytic reparametrization of semi-algebraic sets ⋮ Approximation of holomorphic functions on compact subsets of \(\mathbb R^N\)
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