Some integral inequalities for operator arithmetic-geometrically convex functions
Functional Analysis
2016-03-16 v2
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.
Cite
@article{arxiv.1511.06587,
title = {Some integral inequalities for operator arithmetic-geometrically convex functions},
author = {Ali Taghavi and Vahid Darvish and Haji Mohammad Nazari},
journal= {arXiv preprint arXiv:1511.06587},
year = {2016}
}
Comments
16 pages. arXiv admin note: substantial text overlap with arXiv:1508.03109