Some generalizations of Prokhorov's results on Khinchin-type inequalities for polynomials

S. G. Bobkov

doi:10.1137/S0040585X97978580

Some generalizations of Prokhorov's results on Khinchin-type inequalities for polynomials

S. G. Bobkov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this paper, we prove the Khinchin-type inequality (E|f(ξ)|^p)^1/p ≦ C(p, d) E|f(ξ)| for polynomials in components of random vectors in a space with logarithmically concave density.

Original language	English (US)
Pages (from-to)	644-647
Number of pages	4
Journal	Theory of Probability and its Applications
Volume	45
Issue number	4
DOIs	https://doi.org/10.1137/S0040585X97978580
State	Published - Dec 2000

Keywords

Khinchin-type inequalities

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10.1137/S0040585X97978580

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title = "Some generalizations of Prokhorov's results on Khinchin-type inequalities for polynomials",

abstract = "In this paper, we prove the Khinchin-type inequality (E|f(ξ)|p)1/p ≦ C(p, d) E|f(ξ)| for polynomials in components of random vectors in a space with logarithmically concave density.",

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AB - In this paper, we prove the Khinchin-type inequality (E|f(ξ)|p)1/p ≦ C(p, d) E|f(ξ)| for polynomials in components of random vectors in a space with logarithmically concave density.

KW - Khinchin-type inequalities

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UR - https://www.scopus.com/pages/publications/0034747615#tab=citedBy

U2 - 10.1137/S0040585X97978580

DO - 10.1137/S0040585X97978580

M3 - Article

AN - SCOPUS:0034747615

SN - 0040-585X

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JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

IS - 4

ER -

Some generalizations of Prokhorov's results on Khinchin-type inequalities for polynomials

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