Riemann–Liouville Fractional Newton’s Type Inequalities for Differentiable Convex Functions
Thanin Sitthiwirattham, Kamsing Nonlaopon, Muhammad Aamir Ali, Hüseyin Budak
Abstract
In this paper, we prove some new Newton’s type inequalities for differentiable convex functions through the well-known Riemann–Liouville fractional integrals. Moreover, we prove some inequalities of Riemann–Liouville fractional Newton’s type for functions of bounded variation. It is also shown that the newly established inequalities are the extension of comparable inequalities inside the literature. Finally, we give some examples with graphs and show the validity of newly established inequalities.
Topics & Concepts
MathematicsDifferentiable functionType (biology)Convex functionBounded functionPure mathematicsExtension (predicate logic)InequalityMathematical analysisFractional calculusRegular polygonApplied mathematicsEcologyBiologyComputer scienceGeometryProgramming languageMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsFractional Differential Equations Solutions