Convex functions and means of matrices
arXiv:1606.08099
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.
This paper has been accepted by: Mathematical inequalities and application (MIA). It will appear in 2017