Some Hermite-Hadamard type inequalities for operator convex functions and positive maps

Abstract

In this paper we establish some inequalities of Hermite-Hadamard type for operator convex functions and positive maps. Applications for power function and logarithm are also provided.

Keywords

• jensen’s inequality
• hermite-hadamard inequality
• positive maps
• operator convex functions
• arithmetic mean-geometric mean inequality
• 47a63
• 47a30
• 15a60