A NEW VERSION OF NEWTON’S INEQUALITIES FOR RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS
Fatih Hezenci, Hüseyin Budak, Pınar Kösem
Abstract
We establish some Newton’s type inequalities in the case of differentiable convex functions through the well-known Riemann–Liouville fractional integrals. Furthermore, we give an example with graph and present the validity of the newly obtained inequalities. Finally, we give some inequalities of Riemann–Liouville fractional Newton’s type for functions of bounded variation.
Topics & Concepts
MathematicsType (biology)Bounded functionDifferentiable functionGraphFractional calculusPure mathematicsConvex functionMathematical analysisApplied mathematicsRegular polygonDiscrete mathematicsBiologyGeometryEcologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsFractional Differential Equations Solutions