SOME PERTURBED NEWTON TYPE INEQUALITIES FOR RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS
Fatih Hezenci, Hüseyin Budak
Abstract
We derive an identity for twice-differentiable functions whose second derivatives are convex. By using this equality, we establish some perturbed Newton type inequalities for twice-differentiable convex functions, which we investigate by using Riemann–Liouville fractional integrals. Furthermore, we present our results by using special cases of the obtained theorems.
Topics & Concepts
MathematicsDifferentiable functionType (biology)Pure mathematicsConvex functionMathematical analysisRegular polygonGeometryBiologyEcologyMathematical Inequalities and ApplicationsNonlinear Differential Equations Analysis