On the Hermite–Hadamard inequalities for interval-valued coordinated convex functions
Dafang Zhao, Muhammad Aamir Ali, Ghulam Murtaza, Zhiyue Zhang
Abstract
Abstract In this work, we introduce the notion of interval-valued coordinated convexity and demonstrate Hermite–Hadamard type inequalities for interval-valued convex functions on the co-ordinates in a rectangle from the plane. Moreover, we prove Hermite–Hadamard inequalities for the product of interval-valued convex functions on coordinates. Our results generalize several other well-known inequalities given in the existing literature on this subject.
Topics & Concepts
MathematicsHermite polynomialsRectangleConvex functionConvexityHadamard productInterval (graph theory)Pure mathematicsConvex analysisHadamard transformSubderivativeComplex planeRegular polygonMathematical analysisCombinatoricsConvex optimizationGeometryEconomicsFinancial economicsFuzzy Systems and OptimizationMathematical Inequalities and ApplicationsMulti-Criteria Decision Making