Hermite-Hadamard type inequalities for new conditions on h-convex functions via $$\psi $$-Hilfer integral operators
Bouharket Benaissa, Noureddine Azzouz, Hüseyin Budak
Abstract
Abstract We employ a new function class called B -function to create a new version of fractional Hermite–Hadamard and trapezoid type inequalities on the right-hand side that involves h -convex and $$\psi $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ψ</mml:mi> </mml:math> -Hilfer operators. We also provide new midpoint-type inequalities using h -convex functions.
Topics & Concepts
Convex functionMathematicsMidpointHadamard transformType (biology)Hermite polynomialsPure mathematicsRegular polygonFunction (biology)Class (philosophy)Mathematical analysisComputer scienceGeometryBiologyArtificial intelligenceEvolutionary biologyEcologyMathematical Inequalities and ApplicationsFunctional Equations Stability Results