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Lower estimates of measure of deviation of polynomials from mathematical expectations

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Abstract

Inequalities that are in a sense reverse to the Carbery–Wright inequality are investigated. Inequalities of this type are proved in the case of a Gaussian measure and a polynomial of arbitrary degree and also in the case of an arbitrary convex measure and a polynomial degree of 2.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    E. D. Kosov

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  1. E. D. Kosov
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Correspondence to E. D. Kosov.

Additional information

Published in Russian in Doklady Akademii Nauk, 2015, Vol. 465, No. 3, pp. 278–280.

The article was translated by the author.

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Kosov, E.D. Lower estimates of measure of deviation of polynomials from mathematical expectations. Dokl. Math. 92, 698–700 (2015). https://doi.org/10.1134/S1064562415060162

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  • DOI: https://doi.org/10.1134/S1064562415060162

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