On Hermite–Hadamard-Type Inequalities for Coordinated h -Convex Interval-Valued Functions

Dafang Zhao, Guohui Zhao, Guoju Ye, Wei Liu and Silvestru Sever Dragomir
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Dafang Zhao: School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
Guohui Zhao: Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou 730000, China
Guoju Ye: College of Science, Hohai University, Nanjing 210098, China
Wei Liu: College of Science, Hohai University, Nanjing 210098, China
Silvestru Sever Dragomir: Mathematics, College of Engineering and Science, Victoria University, Melbourne 8001, Australia

Mathematics, 2021, vol. 9, issue 19, 1-14

Abstract: This paper is devoted to establishing some Hermite–Hadamard-type inequalities for interval-valued functions using the coordinated h -convexity, which is more general than classical convex functions. We also discuss the relationship between coordinated h -convexity and h -convexity. Furthermore, we introduce the concepts of minimum expansion and maximum contraction of interval sequences. Based on these two new concepts, we establish some new Hermite–Hadamard-type inequalities, which generalize some known results in the literature. Additionally, some examples are given to illustrate our results.

Keywords: Hermite–Hadamard inequality; interval double integral; coordinated h -convex; interval-valued functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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