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

2017/10/26 by Mohammad W. Alomari, Alomari, Mohammad W.
Mathematics · #26D15 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1710.09936

openalex publication_date 2017/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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

Related

• New extensions of Popoviciu's inequality
• Inequalities via φ_h,m-convexity
• Some properties of h-MN-convexity and Jensen's type inequalities
• On (h-m)-Convexity and Hadamard-Type Inequalities
• Definitions of h-logaritmic, h-geometric and h-multi convex functions and some inequalities related to them