Dimension and geometry of sets defined by polynomial inequalities

DOI10.1016/0021-9045(92)90001-5zbMath0754.41010OpenAlexW1998692886MaRDI QIDQ1196883

Peter Wingren, Hans Wallin

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90001-5

zbMATH Keywords

Hausdorff dimensionMarkov's inequality

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Hausdorff and packing measures (28A78)

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Thick sets and quasisymmetric maps ⋮ Equivalence of the local Markov inequality and a Kolmogorov type inequality in the complex plane ⋮ How to construct totally disconnected Markov sets? ⋮ Boundary value problems and Brownian motion on fractals

Cites Work

• Interpolating and orthogonal polynomials on fractals
• Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions
• Inégalité de Markov dans les ensembles effiles
• Some remarks on Bernstein's theorems
• k-Dimensional Regularity Classifications for s-Fractals
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