Hermite–Jensen–Mercer type inequalities for conformable integrals and related results
Saad Ihsan Butt, Mehroz Nadeem, Shahid Qaisar, Ahmet Ocak Akdemi̇r, Thabet Abdeljawad
Abstract
Abstract In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose derivatives in the absolute values are convex.
Topics & Concepts
Conformable matrixMathematicsHermite polynomialsType (biology)Differentiable functionConvex functionPure mathematicsHadamard transformJensen's inequalityMathematical analysisConvex analysisRegular polygonConvex optimizationGeometryQuantum mechanicsEcologyBiologyPhysicsMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsMathematical functions and polynomials