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arXiv · 1508.03109

Hermite-Hadamard type inequalities for operator geometrically convex functions

Ali Taghavi·Vahid Darvish·Haji Mohammad Nazari·Sever S. Dragomir
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Abstract

In this paper, we introduce the concept of operator 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.

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Ali Taghavi, Vahid Darvish, Haji Mohammad Nazari, Sever S. Dragomir. 2015-08-13. Hermite-Hadamard type inequalities for operator geometrically convex functions. https://arxiv.org/abs/1508.03109

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