Geodesic
Additive inequalities for weighted harmonic and arithmetic operator means
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 1.

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In this paper we establish some new upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means under various assumptions for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well.
Keywords: Young’s inequality, convex functions, arithmetic meanharmonic mean inequality, operator means, operator inequalities 
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Dragomir, Sever. Additive inequalities for weighted harmonic and arithmetic operator means. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 1. http://geodesic.mathdoc.fr/item/AUM_2019_73_1_a2/

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