Some Hermite-Jensen-Mercer like inequalities for convex functions through a certain generalized fractional integrals and related results
Saad Ihsan Butt, Ahmet Ocak Akdemi̇r, Jamshed Nasir, Fahd Jarad
Abstract
In this article, in light of Jensen-Mercer inequality for functions whose derivatives in the absolute values are convex, some new Hermite-Jensen-Mercer inequalities have been obtained with the help of generalized types of fractional integral operators generated recently by specified local derivatives.
Topics & Concepts
MathematicsHermite polynomialsConvex functionJensen's inequalityRegular polygonPure mathematicsInequalityConvex analysisMathematical analysisConvex optimizationGeometryMathematical Inequalities and ApplicationsMathematical functions and polynomialsFunctional Equations Stability Results