Some Generalizations of Prokhorov's Results on Khinchin-Type Inequalities for Polynomials

DOI10.1137/S0040585X97978580zbMath0990.60014MaRDI QIDQ4328508

Sergey G. Bobkov

Publication date: 25 April 2002

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

Khinchin-type inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (8)

Isoperimetric inequality and the Poincaré inequality for distributions of polynomials on convex compact set ⋮ Lower estimates of measure of deviation of polynomials from mathematical expectations ⋮ Localization for hyperbolic measures on infinite-dimensional spaces ⋮ Absolute continuity of distributions of polynomials on spaces with log-concave measures ⋮ Kantorovich type topologies on spaces of measures and convergence of barycenters ⋮ Fractional smoothness of images of logarithmically concave measures under polynomials ⋮ Four Areas of Yu. V. Prokhorov's Studies and Their Perspectives ⋮ An inequality between total variation and \(L^2\) distances for polynomials in log-concave random vectors

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