The Hermite-Hadamard inequality for $ s $-Convex functions in the third sense
Sevda Sezer
Abstract
<abstract> In this paper, the Hermite-Hadamard inequality for $ s $-convex functions in the third sense is provided. In addition, some integral inequalities for them are presented. Also, the new functions based on the integral and double integral of $ s $-convex functions in the third sense are defined and under certain conditions, the third sense $ s $-convexity of these functions are shown and some inequality relations for these are expressed. </abstract>
Topics & Concepts
Convex functionMathematicsHadamard transformConvexityHermite polynomialsInequalityPure mathematicsConvex analysisJensen's inequalityMathematical analysisRegular polygonSense (electronics)Young's inequalityConvex optimizationLog sum inequalityRearrangement inequalityGeometryEngineeringFinancial economicsElectrical engineeringEconomicsMathematical Inequalities and ApplicationsFunctional Equations Stability Results