On Hermite–Hadamard-Type Inequalities for Coordinated h-Convex Interval-Valued Functions
Dafang Zhao, Guohui Zhao, Guoju Ye, Wei Liu, Sever S Dragomir
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.
Topics & Concepts
ConvexityHadamard transformHermite polynomialsMathematicsConvex functionInterval (graph theory)Pure mathematicsContraction (grammar)Regular polygonType (biology)InequalityDiscrete mathematicsMathematical analysisCombinatoricsGeometryInternal medicineFinancial economicsMedicineEconomicsEcologyBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsOptimization and Variational Analysis