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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2017, Volume 2, Issue 4, Pages 412–419
(Mi chfmj76)
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Mathematics
Generalized Cauchy — Bunyakovskii inequalities for linear positive functionals
T. V. Ershova South Ural State Humanitarian-Pedagogical University, Chelyabinsk, Russia
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
Citation:
T. V. Ershova, “Generalized Cauchy — Bunyakovskii inequalities for linear positive functionals”, Chelyab. Fiz.-Mat. Zh., 2:4 (2017), 412–419
Linking options:
https://www.mathnet.ru/eng/chfmj76 https://www.mathnet.ru/eng/chfmj/v2/i4/p412
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Abstract page: | 208 | Full-text PDF : | 275 | References: | 32 |
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