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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 263–270
DOI: https://doi.org/10.33048/semi.2019.16.018 (Mi semr1060) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

On generalizations of M. G. Krein, E. A. Gorin and Yu. V. Linnik inequalities for positive definite functions for multipoint case

A. B. Pevnyia, S. M. Sitnikb

a Syktyvkar State University, 55, October ave., Syktyvkar, 167001, Russia
b Belgorod State National Research University, 85, Pobeda str., Belgorod, 308015, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.018
Abstract: In the paper some generalizations are proved for well–known inequalities of M. G. Krein, E. A. Gorin and Yu. V. Linnik for positive definite functions for multipoint case. It is proved that multipoint inequality of E. A. Gorin is derived from two–point inequality of M. G. Krein for positive definite functions. Also generalizations are considered of Yu. V. Linnik inequality for characteristic functions in probability theory.
Keywords: M. G. Krein, E. A. Gorin and Yu. V. Linnik inequalities, positive definite functions, characteristic functions, Bochner's theorem.
Received March 6, 2018, published March 5, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.518.28
MSC: 42A82
Language: Russian
Citation: A. B. Pevnyi, S. M. Sitnik, “On generalizations of M. G. Krein, E. A. Gorin and Yu. V. Linnik inequalities for positive definite functions for multipoint case”, Sib. Èlektron. Mat. Izv., 16 (2019), 263–270
Citation in format AMSBIB
\Bibitem{PevSit19}
\by A.~B.~Pevnyi, S.~M.~Sitnik
\paper On generalizations of M.~G.~Krein, E.~A.~Gorin and Yu.~V.~Linnik inequalities for positive definite functions for multipoint case
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 263--270
\mathnet{http://mi.mathnet.ru/semr1060}
\crossref{https://doi.org/10.33048/semi.2019.16.018}
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