Hermite-Hadamard type inequalities for operator geometrically convex functions

2015/08/13 by Ali Taghavi, Taghavi, Ali, Vahid Darvish +5
Mathematics · #15A60 #26D15 #47A63 #47B05 #47B10 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1508.03109

openalex publication_date 2015/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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