The Properties of Harmonically cr-h-Convex Function and Its Applications
Wei Liu, Fangfang Shi, Guoju Ye, Dafang Zhao
Abstract
In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are also established. In addition, some numerical examples are given to verify the accuracy of the results.
Topics & Concepts
Convex functionMathematicsHadamard transformHermite polynomialsType (biology)Pure mathematicsJensen's inequalityFunction (biology)Regular polygonInequalityConvex combinationProper convex functionMathematical analysisConvex analysisConvex optimizationGeometryBiologyEcologyEvolutionary biologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMulti-Criteria Decision Making