Multivariate polynomial inequalities of different \(L_{p,W}(V)\)-metrics with \(k\)-concave weights

DOI10.1007/s10474-016-0632-zzbMath1389.41014OpenAlexW2462938409MaRDI QIDQ1677526

Michael I. Ganzburg

Publication date: 10 November 2017

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0632-z

zbMATH Keywords

multivariate polynomiallog-concave measure\((1/d)\)-concave measurepolynomial inequality of different metrics

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for trigonometric functions and polynomials (26D05)

Related Items (1)

Sharp constants of approximation theory. VI: weighted polynomial inequalities of different metrics on the multidimensional cube and ball

Cites Work

• Concentration inequalities for s-concave measures of dilations of Borel sets and applications
• Convex set functions in d-space
• Some extremal problems for multivariate polynomials on convex bodies
• Polynomial inequalities on measurable sets and their applications. II: Weighted measures
• Polynomial inequalities on sets with \(k_m\)-concave weighted measures
• Isoperimetric problems for convex bodies and a localization lemma
• Large deviations and isoperimetry over convex probability measures with heavy tails
• \(L^q\) norm inequalities for analytic functions revisited
• Convex Analysis
• Polynomial inequalities on measurable sets and their applications
• Distributional and \(L^q\) norm inequalities for polynomials over convex bodies in \(\mathbb{R}^n\)
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