Generalized fractional integral inequalities of Hermite–Hadamard type for harmonically convex functions
Dafang Zhao, Muhammad Aamir Ali, Artion Kashuri, Hüseyin Budak
Abstract
Abstract In this paper, we establish inequalities of Hermite–Hadamard type for harmonically convex functions using a generalized fractional integral. The results of our paper are an extension of previously obtained results (İşcan in Hacet. J. Math. Stat. 43(6):935–942, 2014 and İşcan and Wu in Appl. Math. Comput. 238:237–244, 2014). We also discuss some special cases for our main results and obtain new inequalities of Hermite–Hadamard type.
Topics & Concepts
MathematicsHadamard transformHermite polynomialsConvex functionType (biology)Pure mathematicsOrdinary differential equationInequalityRegular polygonMathematical analysisDifferential equationGeometryBiologyEcologyMathematical Inequalities and ApplicationsMathematical functions and polynomialsFunctional Equations Stability Results