Some New Results on Hermite–Hadamard–Mercer-Type Inequalities Using a General Family of Fractional Integral Operators
Erhan Set, Barış Çelik, M. Emіn Özdemіr, Mücahit Aslan
Abstract
The aim of this article is to obtain new Hermite–Hadamard–Mercer-type inequalities using Raina’s fractional integral operators. We present some distinct and novel fractional Hermite–Hadamard–Mercer-type inequalities for the functions whose absolute value of derivatives are convex. Our main findings are generalizations and extensions of some results that existed in the literature.
Topics & Concepts
Hermite polynomialsHadamard transformMathematicsType (biology)Convex functionPure mathematicsRegular polygonAlgebra over a fieldMathematical analysisGeometryEcologyBiologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsApproximation Theory and Sequence Spaces