The Hermite-Hadamard inequalities for $p$-convex functions
Zeynep Eken, Serap Kemali̇, Gültekin Tınaztepe, Gabil Adi̇lov
Abstract
In this paper, the Hermite-Hadamard inequality for $p-$convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of $p-$convex sets, the new functions are defined and under certain conditions, $p-$convexity of these functions are shown. Some inequalities for these functions are expressed.
Topics & Concepts
MathematicsConvex functionHadamard transformHermite polynomialsConvexityInequalityPure mathematicsRegular polygonJensen's inequalityYoung's inequalityConvex analysisMathematical analysisConvex optimizationKantorovich inequalityLinear inequalityGeometryEconomicsFinancial economicsMathematical Inequalities and Applications