New Simpson type inequalities for twice differentiable functions via generalized fractional integrals
Xuexiao You, Fatih Hezenci, Hüseyin Budak, Hasan Kara
Abstract
<abstract><p>Fractional versions of Simpson inequalities for differentiable convex functions are extensively researched. However, Simpson type inequalities for twice differentiable functions are also investigated slightly. Hence, we establish a new identity for twice differentiable functions. Furthermore, by utilizing generalized fractional integrals, we prove several Simpson type inequalities for functions whose second derivatives in absolute value are convex.</p></abstract>
Topics & Concepts
Differentiable functionMathematicsConvex functionType (biology)Pure mathematicsInequalityRegular polygonMathematical analysisApplied mathematicsGeometryEcologyBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsApproximation Theory and Sequence Spaces