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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2017, Volume 2, Issue 4, Pages 412–419 (Mi chfmj76)  

Mathematics

Generalized Cauchy — Bunyakovskii inequalities for linear positive functionals

T. V. Ershova

South Ural State Humanitarian-Pedagogical University, Chelyabinsk, Russia
References:
Abstract: The method is indicated which can be used to obtain a sequence of inequalities that generalize the well-known Cauchy — Bunyakovskii inequality for linear positive functionals. Two inequalities of this sequence are given, and statements that are consequences of the first of them are proved also.
Keywords: linear positive functional, the Cauchy — Bunyakovskii inequality, the central moment of linear positive operator.
Received: 08.10.2017
Revised: 03.11.2017
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. V. Ershova, “Generalized Cauchy — Bunyakovskii inequalities for linear positive functionals”, Chelyab. Fiz.-Mat. Zh., 2:4 (2017), 412–419
Citation in format AMSBIB
\Bibitem{Ers17}
\by T.~V.~Ershova
\paper Generalized Cauchy~--- Bunyakovskii inequalities for linear positive functionals
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2017
\vol 2
\issue 4
\pages 412--419
\mathnet{http://mi.mathnet.ru/chfmj76}
\elib{https://elibrary.ru/item.asp?id=30776534}
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