Jensen m-Convexity on Set-Valued Function

Abstract

This paper discusses the class of Jensen m-convex functions and their properties, leading to enhancements of these functions and Jensen's inequalities for set-valued functions. It provides several characterizations and explores various algebraic properties. Additionally, it introduces a discrete Jensen-type inclusion.

Keywords

• jensen m-convex
• jensen-type inclusion
• jensen m-convex set
• set-valued function