Some properties of h-MN-convexity and Jensen's type inequalities

2017/10/10 by Mohammad W. Alomari, Alomari, Mohammad W. · 1 citation
Mathematics · #Mathematical Inequalities and Applications #Functional Equations Stability Results #Analytic and geometric function theory

paper · pdf · doi:10.48550/arxiv.1710.03418

Abstract

In this work, we introduce the class of h-\rmMN-convex functions by generalizing the concept of \rmMN-convexity and combining it with h-convexity. Namely, Let I,J be two intervals subset of (0,∞) such that (0,1)⊆ J and [a,b]⊆ I. Consider a non-negative function h: (0,∞)→ (0,∞) and let \rmM:[0,1]→ [a,b] (0

Citations

• On h-convexity

Cited by

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

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