B. Moosavi, H. R. Moradi, M. Shah Hosseini, “Further results on Jensen-type inequalities”, Пробл. анал. Issues Anal., 2019, том 8(26), выпуск 3,страницы 112

Эта публикация цитируется в 1 статье

Further results on Jensen-type inequalities

B. Moosavi^a, H. R. Moradi^b, M. Shah Hosseini^c

^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.

УДК: 517.38, 517.51

MSC: Primary 47A63, Secondary 26A51, 26D15, 26B25, 39B62} \keywords{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

Язык публикации: английский

DOI: 10.15393/j3.art.2019.6350