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arXiv · 1511.06587

Some integral inequalities for operator arithmetic-geometrically convex functions

Ali Taghavi·Vahid Darvish·Haji Mohammad Nazari
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Abstract

In this paper, we introduce the concept of operator arithmetic-geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for operators which give some refinements of previous results. Moreover, some unitarily invariant norm inequalities are established.

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Ali Taghavi, Vahid Darvish, Haji Mohammad Nazari. 2016-03-06. Some integral inequalities for operator arithmetic-geometrically convex functions. https://arxiv.org/abs/1511.06587

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