On inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional integrals
Thabet Abdeljawad, Muhammad Aamir Ali, Pshtiwan Othman Mohammed, Artion Kashuri
Abstract
<abstract> <p>The goal of this article is to establish many inequalities of Hermite-Hadamard-Mercer type involving Riemann-Liouville fractional operators. We also establish some related fractional integral inequalities connected to the left side of Hermite-Hadamard-Mercer type inequality for differentiable convex functions. Further remarks and observations for these results are given. Finally, we see the efficiency of our inequalities via some applications on special means.</p> </abstract>
Topics & Concepts
MathematicsHadamard transformDifferentiable functionHermite polynomialsType (biology)Convex functionPure mathematicsInequalityFractional calculusMathematical analysisRegular polygonGeometryBiologyEcologyMathematical Inequalities and ApplicationsMathematical functions and polynomials