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Teoriya Veroyatnostei i ee Primeneniya, 2000, Volume 45, Issue 4, Pages 745–748
DOI: https://doi.org/10.4213/tvp503 (Mi tvp503) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Short Communications

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

S. G. Bobkovab

a Syktyvkar State University, Faculty of Mathematics
b Department of Mathematics, Bielefeld University, Germany
Full-text PDF (267 kB) Citations (15)
DOI: https://doi.org/10.4213/tvp503
Abstract: In this paper, we prove the Khinchin-type inequality $(\mathbf{E}|f(\xi)|^p)^{1/p}\le C(p,d)\mathbf{E}|f(\xi)|$ for polynomials in components of random vectors in a space with logarithmically concave density.
Received: 24.05.2000
English version:
Theory of Probability and its Applications, 2001, Volume 45, Issue 4, Pages 644–647
DOI: https://doi.org/10.1137/S0040585X97978580
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. G. Bobkov, “Some generalizations of Prokhorov's results on Khinchin-type inequalities for polynomials”, Teor. Veroyatnost. i Primenen., 45:4 (2000), 745–748; Theory Probab. Appl., 45:4 (2001), 644–647
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2001
\vol 45
\issue 4
\pages 644--647
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  • https://www.mathnet.ru/eng/tvp/v45/i4/p745
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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