Convex functions and means of matrices
Functional Analysis
2016-06-28 v1
Abstract
In this article, we prove that convex functions and log-convex functions obey certain general refinements that lead to several refinements and reverses of well known inequalities for matrices, including Young's inequality, Heinz inequality, the arithmetic-harmonic and the geometric-harmonic mean inequalities.
Cite
@article{arxiv.1606.08099,
title = {Convex functions and means of matrices},
author = {Mohammad Sababheh},
journal= {arXiv preprint arXiv:1606.08099},
year = {2016}
}
Comments
This paper has been accepted by: Mathematical inequalities and application (MIA). It will appear in 2017