Abstract
In this paper, we study operator mean inequalities for the weighted arithmetic, geometric, and harmonic means. We give a slight modification of Audenaert’s result to show the relation between Kwong functions and operator monotone functions. Operator mean inequalities provide some analogs of the geometric concavity property for Kwong functions, operator convex, and operator monotone functions. Moreover, we give our points across by way of some examples which show the usage of our main results.
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Acknowledgements
N. Gharakhanlu was supported by a grant from the Iran National Elites Foundation (INEF) for a postdoctoral fellowship under the supervision of M.S. Moslehian.
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Gharakhanlu, N., Moslehian, M.S. & Najafi, H. Operator mean inequalities and Kwong functions. Arch. Math. (2024). https://doi.org/10.1007/s00013-024-01980-4
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DOI: https://doi.org/10.1007/s00013-024-01980-4