算子均值不等式和邝函数

Pub Date : 2024-04-12 DOI:10.1007/s00013-024-01980-4

Nahid Gharakhanlu, Mohammad Sal Moslehian, Hamed Najafi

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引用次数: 0

摘要

本文研究加权算术均值、几何均值和调和均值的算子均值不等式。我们对 Audenaert 的结果稍作修改，以说明邝函数与算子单调函数之间的关系。算子均值不等式为邝函数、算子凸函数和算子单调函数提供了几何凹性性质的一些类比。此外，我们还通过一些例子给出了我们的观点，这些例子展示了我们主要结果的用法。

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Operator mean inequalities and Kwong functions

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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