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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Further results on Jensen-type inequalities
B. Moosavia, H. R. Moradib, M. Shah Hosseinic a Department of Mathematics, Safadasht Branch, Islamic Azad University,
Tehran, Iran
b Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
c Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran
Аннотация:
In this paper, we establish some Jensen-type inequalities for continuous functions of self-adjoint operators on complex Hilbert spaces.
Furthermore, using the Cartesian decomposition of an operator, we improve the known result due to Mond and Pečarić.
Some refinements of the Hölder–McCarthy inequality are given as well.
Ключевые слова:
Jensen's inequality, convex function, synchronous (asynchronous) function, self-adjoint operator.
Поступила в редакцию: 28.05.2019 Исправленный вариант: 21.07.2019 Принята в печать: 18.07.2019
Образец цитирования:
B. Moosavi, H. R. Moradi, M. Shah Hosseini, “Further results on Jensen-type inequalities”, Пробл. анал. Issues Anal., 8(26):3 (2019), 112–124
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa277 https://www.mathnet.ru/rus/pa/v26/i3/p112
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