Hermite-Hadamard and Jensen’s type inequalities for modified (<i>p, h</i>)-convex functions
Baoli Feng, Mamoona Ghafoor, Yu Ming Chu, Muhammad Imran Qureshi, Xue Feng, Yao Chuang, Qiao Xing
Abstract
In this study, we will derive the conception of modified (<i>p, h</i>)-convex functions which will unify <i>p</i>-convexity with modified <i>h</i>-convexity. We will investigate the fundamental properties of modified (<i>p, h</i>)-convexity. Furthermore, we will derive the Hermite-Hadamard, Fejér and Jensen's type inequalities for this generalization.
Topics & Concepts
Hadamard transformConvexityMathematicsConvex functionHermite polynomialsGeneralizationRegular polygonType (biology)Jensen's inequalityPure mathematicsCombinatoricsConvex optimizationConvex analysisMathematical analysisGeometryEconomicsEcologyFinancial economicsBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsMulti-Criteria Decision Making