New extensions of Hermite–Hadamard inequalities via generalized proportional fractional integral
İlker Mumcu, Erhan Set, Ahmet Ocak Akdemi̇r, Fahd Jarad
Abstract
Abstract The main aim this work is to give Hermite–Hadamard inequalities for convex functions via generalized proportional fractional integrals. We also obtained extensions of Hermite–Hadamard type inequalities for generalized proportional fractional integrals.
Topics & Concepts
MathematicsHermite polynomialsHadamard transformConvex functionInequalityPure mathematicsType (biology)Regular polygonMathematical analysisApplied mathematicsGeometryBiologyEcologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsFunctional Equations Stability Results