Differential analysis of matrix convex functions II

Abstract

We continue the analysis in [3] of matrix convex functions of a fixed order defined in a real interval by differential methods as opposed to the characterization in terms of divided differences given by Kraus [5]. We amend and improve some points in the previously given presentation, and we give a number of simple but important consequences of matrix convexity of low orders.

Cited by in corpus (1)

• Structure of the spaces of matrix monotone functions and of matrix convex functions and Jensen's type inequality for operators