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Lower estimates of measure of deviation of polynomials from mathematical expectations

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Publication:265965
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DOI10.1134/S1064562415060162zbMath1360.60043MaRDI QIDQ265965

Egor D. Kosov

Publication date: 13 April 2016

Published in: Doklady Mathematics (Search for Journal in Brave)


zbMATH Keywords

Gaussian measureCarbery-Wright inequalityconvex measure


Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Contents, measures, outer measures, capacities (28A12)




Cites Work

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  • Absolute continuity and convergence of densities for random vectors on Wiener chaos
  • The Brunn-Minkowski inequality in Gauss space
  • Convex measures on locally convex spaces
  • The extreme points of subsets of s-concave probabilities and a geometric localization theorem
  • Isoperimetric problems for convex bodies and a localization lemma
  • Convergence in total variation on Wiener chaos
  • Polynomials on spaces with logarithmically concave measures
  • Random walks in a convex body and an improved volume algorithm
  • Some Generalizations of Prokhorov's Results on Khinchin-Type Inequalities for Polynomials
  • Distributional and \(L^q\) norm inequalities for polynomials over convex bodies in \(\mathbb{R}^n\)


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