Modification of certain fractional integral inequalities for convex functions
Pshtiwan Othman Mohammed, Thabet Abdeljawad
Abstract
Abstract We consider the modified Hermite–Hadamard inequality and related results on integral inequalities, in the context of fractional calculus using the Riemann–Liouville fractional integrals. Our results generalize and modify some existing results. Finally, some applications to special means of real numbers are given. Moreover, some error estimates for the midpoint formula are pointed out.
Topics & Concepts
MathematicsMidpointFractional calculusContext (archaeology)Convex functionHermite polynomialsApplied mathematicsHadamard transformPure mathematicsRegular polygonMathematical analysisCalculus (dental)BiologyPaleontologyMedicineDentistryGeometryMathematical Inequalities and ApplicationsMathematical functions and polynomialsFractional Differential Equations Solutions