Popoviciu's type inequalityies for h-MN-convex functions

Abstract

In this work, several inequalities of Popoviciu type for h-MN-convex functions are proved, where M or N are denote to Arithmetic, Geometric and Harmonic means and $h$ is a non-negative superadditive or subadditive function.

26 pages

References in corpus (3)

• Generalized Convexity and Inequalities
• Generalizations of Popoviciu's inequality
• Some properties of h-MN-convexity and Jensen's type inequalities