Zhao, Dafang, Ali, Muhammad Aamir, Kashuri, Artion, and Budak, Hüseyin
Subjects
INTEGRAL inequalities, FRACTIONAL integrals, GENERALIZED integrals, CONVEX functions, MATHEMATICS
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. [ABSTRACT FROM AUTHOR]