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This article is cited in 1 scientific paper (total in 1 paper)
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
Abstract:
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.
Keywords:
Jensen's inequality, convex function, synchronous (asynchronous) function, self-adjoint operator.
Received: 28.05.2019 Revised: 21.07.2019 Accepted: 18.07.2019
Citation:
B. Moosavi, H. R. Moradi, M. Shah Hosseini, “Further results on Jensen-type inequalities”, Probl. Anal. Issues Anal., 8(26):3 (2019), 112–124
Linking options:
https://www.mathnet.ru/eng/pa277 https://www.mathnet.ru/eng/pa/v26/i3/p112
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Abstract page: | 138 | Full-text PDF : | 74 | References: | 12 |
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