New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions

• Published in: Journal of inequalities and applications Vol. 2018; no. 1; pp. 1 - 14
• Main Authors: Zhao, Dafang, An, Tianqing, Ye, Guoju, Liu, Wei
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 07.11.2018; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; h-convex; Hermite–Hadamard inequality; Inequalities; Interval-valued functions; Jensen inequality; Mathematics; Mathematics and Statistics; 28B20; Interval-valued functions; convex; Hermite–Hadamard inequality; Jensen inequality; 26D15; 26E25

In this paper, we introduce the h -convex concept for interval-valued functions. By using the h -convex concept, we present new Jensen and Hermite–Hadamard type inequalities for interval-valued functions. Our inequalities generalize some known results.