Matrix Hermite-Hadamard type inequalities
Functional Analysis
2013-04-02 v2 Operator Algebras
Abstract
We present several matrix and operator inequalities of Hermite-Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond-Pecaric method to get an operator version for convex functions. We also present some applications. Finally we obtain an Hermite-Hadamard inequality for operator convex functions, positive linear maps and operators acting on Hilbert spaces.
Cite
@article{arxiv.1203.5300,
title = {Matrix Hermite-Hadamard type inequalities},
author = {Mohammad Sal Moslehian},
journal= {arXiv preprint arXiv:1203.5300},
year = {2013}
}
Comments
13 pages, revised version