Hermite-Hadamard type inequalities for operator geometrically convex functions
Functional Analysis
2015-08-14 v1
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.
Cite
@article{arxiv.1508.03109,
title = {Hermite-Hadamard type inequalities for operator geometrically convex functions},
author = {Ali Taghavi and Vahid Darvish and Haji Mohammad Nazari and Sever S. Dragomir},
journal= {arXiv preprint arXiv:1508.03109},
year = {2015}
}
Comments
Accepted for publishing in Monatshefte fur Mathematik