Hermite-Hadamard-Mercer type inequalities for fractional integrals
Hatice Öğülmüş, Zeki Sarıkay
Abstract
In the present note, we proved Hermite-Hadamard-Mercer inequalities for fractional integrals and we established some new fractional inequalities connected with the right and left-sides of Hermite-Hadamard-Mercer type inequalities for differentiable mappings whose derivatives in absolute value are convex.
Topics & Concepts
MathematicsHadamard transformHermite polynomialsDifferentiable functionType (biology)Pure mathematicsConvex functionInequalityRegular polygonMathematical analysisGeometryEcologyBiologyMathematical Inequalities and ApplicationsApproximation Theory and Sequence SpacesMathematical functions and polynomials