Hermite–Hadamard and Jensen‐Type Inequalities via Riemann Integral Operator for a Generalized Class of Godunova–Levin Functions
Xiaoju Zhang, Khurram Shabbir, Waqar Afzal, Xiao He, Dong Lin
Abstract
The generalization of Godunova–Levin interval‐valued functions has been drastically studied in last few decades, as it has a remarkable applications in both pure and applied mathematics. The goal of this study is to introduce the notion of h‐Godunova–Levin interval‐valued functions. We establish Hermite–Hadamard and Jensen‐type inequalities via Riemann integral operator.
Topics & Concepts
MathematicsHadamard transformType (biology)Class (philosophy)Pure mathematicsOperator (biology)Hermite polynomialsConvex functionAlgebra over a fieldMathematical analysisRegular polygonArtificial intelligenceRepressorComputer scienceChemistryBiochemistryGeometryBiologyEcologyTranscription factorGeneMathematical Inequalities and ApplicationsMathematical functions and polynomialsFunctional Equations Stability Results