New version of fractional Simpson type inequalities for twice differentiable functions
Fatih Hezenci, Hüseyin Budak, Hasan Kara
Abstract
Abstract Simpson inequalities for differentiable convex functions and their fractional versions have been studied extensively. Simpson type inequalities for twice differentiable functions are also investigated. More precisely, Budak et al. established the first result on fractional Simpson inequality for twice differentiable functions. In the present article, we prove a new identity for twice differentiable functions. In addition to this, we establish several fractional Simpson type inequalities for functions whose second derivatives in absolute value are convex. This paper is a new version of fractional Simpson type inequalities for twice differentiable functions.
Topics & Concepts
Differentiable functionMathematicsType (biology)Convex functionPure mathematicsInequalityMathematical analysisApplied mathematicsRegular polygonBiologyEcologyGeometryMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsNonlinear Differential Equations Analysis