Hermite-Hadamard type inequalities for operator geometrically convex functions

Published 13 Aug 2015 in math.FA | (1508.03109v1)

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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