Inequalities of Jensen type for \(AH\)-convex functions

Abstract

Some integral inequalities of Jensen type for AH-convex functions defined on intervals of real line are given. Applications for power and logarithm functions are provided as well. Some inequalities for functions of selfadjoint operators in Hilbert spaces are also established.

Keywords

• Convex functions
• Integral inequalities
• AH-Convex functions.