New Hadamard and Fejér-Hadamard fractional inequalities for exponentially m-convex function
Sajid Mehmood, Ghulam Farid, Khuram Ali Khan, Muhammad Yussouf
Abstract
In this article, we present new fractional Hadamard and Fejr-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler function via a monotone function. To establish these inequalities we will use exponentially m-convex functions. The presented results in particular contain a number of fractional Hadamard and Fejr-Hadamard inequalities for functions deducible from exponentially m-convex functions.
Topics & Concepts
Hadamard transformHadamard's inequalityConvex functionMathematicsHadamard three-lines theoremMittag-Leffler functionPure mathematicsFunction (biology)Monotone polygonExponential growthRegular polygonMathematical analysisFractional calculusHadamard productHadamard matrixGeometryEvolutionary biologyBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability Results