Geodesic
Reverse and improved inequalities for operator monotone functions
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 74 (2020) no. 2, pp. 19-29.

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In this paper we provide several refinements and reverse operator inequalities for operator monotone functions in Hilbert spaces. We also obtain refinements and a reverse of Lowner-Heinz celebrated inequality that holds in the case of power function.
Keywords: Operator monotone functions, Lowner-Heinz inequality, logarithmic operator inequality 
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Dragomir, Sever. Reverse and improved inequalities for operator monotone functions. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 74 (2020) no. 2, pp. 19-29. http://geodesic.mathdoc.fr/item/AUM_2020_74_2_a1/

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