Some fractional Hermite–Hadamard-type inequalities for interval-valued coordinated functions
Fangfang Shi, Guoju Ye, Dafang Zhao, Wei Liu
Abstract
Abstract The primary objective of this paper is establishing new Hermite–Hadamard-type inequalities for interval-valued coordinated functions via Riemann–Liouville-type fractional integrals. Moreover, we obtain some fractional Hermite–Hadamard-type inequalities for the product of two coordinated h -convex interval-valued functions. Our results generalize several well-known inequalities.
Topics & Concepts
MathematicsHermite polynomialsHadamard transformType (biology)Interval (graph theory)Pure mathematicsConvex functionProduct (mathematics)Ordinary differential equationInequalityMathematical analysisRegular polygonCombinatoricsDifferential equationEcologyGeometryBiologyMathematical Inequalities and ApplicationsApproximation Theory and Sequence SpacesMathematical functions and polynomials