On new Milne-type inequalities for fractional integrals
Hüseyin Budak, Pınar Kösem, Hasan Kara
Abstract
Abstract In this study, fractional versions of Milne-type inequalities are investigated for differentiable convex functions. We present Milne-type inequalities for bounded functions, Lipschitz functions, functions of bounded variation, etc., found in the literature. New results are established in the area of inequalities. This article is the first to study Milne-type inequalities for fractional integrals.
Topics & Concepts
MathematicsLipschitz continuityDifferentiable functionType (biology)Bounded functionInequalityPure mathematicsConvex functionRegular polygonFractional calculusMathematical analysisGeometryEcologyBiologyMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsOptimization and Variational Analysis