Conformable fractional versions of Hermite–Hadamard-type inequalities for twice-differentiable functions
Fatih Hezenci, Hasan Kara, Hüseyin Budak
Abstract
Abstract In this paper, new inequalities for the left and right sides of the Hermite–Hadamard inequality are acquired for twice-differentiable mappings. Conformable fractional integrals are used to derive these inequalities. Furthermore, we provide our results by using special cases of obtained theorems.
Topics & Concepts
Conformable matrixDifferentiable functionMathematicsHadamard transformHermite polynomialsType (biology)Pure mathematicsInequalityOrdinary differential equationMathematical analysisApplied mathematicsDifferential equationPhysicsBiologyEcologyQuantum mechanicsMathematical Inequalities and ApplicationsNonlinear Differential Equations AnalysisFractional Differential Equations Solutions