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Teoriya Veroyatnostei i ee Primeneniya, 1968, Volume 13, Issue 3, Pages 462–470 (Mi tvp866)  

This article is cited in 6 scientific papers (total in 6 papers)

The S. N. Bernstein inequalities in the multidimensional case

A. V. Prokhorov

M. V. Lomonosov Moscow State University
Full-text PDF (394 kB) Citations (6)
Abstract: Inequalities (2.2) and (2.3) are derived which are extensions of S. N. Bernstein's inequalities to the multidimensional case. Analysis of the inequalities obtained shows that their exponential factors are very close to those for the normal case (cf. (1.1) and (1.3)).
Received: 05.05.1968
English version:
Theory of Probability and its Applications, 1968, Volume 13, Issue 3, Pages 438–447
DOI: https://doi.org/10.1137/1113052
Bibliographic databases:
Language: Russian
Citation: A. V. Prokhorov, “The S. N. Bernstein inequalities in the multidimensional case”, Teor. Veroyatnost. i Primenen., 13:3 (1968), 462–470; Theory Probab. Appl., 13:3 (1968), 438–447
Citation in format AMSBIB
\Bibitem{Pro68}
\by A.~V.~Prokhorov
\paper The S.\,N.~Bernstein inequalities in the multidimensional case
\jour Teor. Veroyatnost. i Primenen.
\yr 1968
\vol 13
\issue 3
\pages 462--470
\mathnet{http://mi.mathnet.ru/tvp866}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=239641}
\zmath{https://zbmath.org/?q=an:0181.45102|0169.21001}
\transl
\jour Theory Probab. Appl.
\yr 1968
\vol 13
\issue 3
\pages 438--447
\crossref{https://doi.org/10.1137/1113052}
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  • https://www.mathnet.ru/eng/tvp/v13/i3/p462
  • This publication is cited in the following 6 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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