Geodesic
Further results on Jensen-type inequalities
Problemy analiza, Tome 8 (2019) no. 3, pp. 112-124

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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. 
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B. Moosavi; H. R. Moradi; M. Shah Hosseini. Further results on Jensen-type inequalities. Problemy analiza, Tome 8 (2019) no. 3, pp. 112-124. http://geodesic.mathdoc.fr/item/PA_2019_8_3_a10/