A note on h-convex functions

2019/01/07 by Mohammad W. Alomari, Alomari, M. W.
Computer Science · Mathematics · #26A15 #26A16 #26A51 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1901.06255

openalex publication_date 2019/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we discuss the continuity of h-convex functions by introducing the concepts of h-convex curves (h-cord). Geometric interpretation of h-convexity is given. The fact that for a h-continuous function f, is being h-convex if and only if is h-midconvex is proved. Generally, we prove that if f is h-convex then f is h-continuous. A discussion regarding derivative characterization of h-convexity is also proposed.

Citations

• On h-convexity

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