New Hermite–Hadamard type integral inequalities for GA-convex functions with applications

Abstract

In this paper, some re nements of Hermite-Hadamard type inequalities for GA-convex functions are obtained. Applications of the obtained results to special means are given.

Some Fejér type integral inequalities for geometrically-arithmetically-convex functions with applications

“…For more results on GA-convex functions and s-GA-convex functions see e.g. [5], [7], [11], [13], [22], [23] and [24].…”

A weighted version of Hermite-Hadamard type inequalities for strongly GA-convex functions

“…Noor et al (2017) also established new Hermite-Hadamard type inequalities for generalized geometrically convex functions. For more details, one can refer to (Latif, 2014;Niculescu and Persson, 2006;Noor et al, 2014a;2014b;Shuang et al, 2013;Zhang et al, 2013). Recently, Obeidat and Latif (2018) established some new weighted Hermite-Hadamard type inequalities for geometrically quasi-convex functions and also showed how we can use inequalities of Hermite-Hadamard type to obtain the inequalities for special means.…”

Some Hermite-Hadamard-Fejer type inequalities for harmonically convex functions via fractional integral

“…For more results on (1) which provide new proof, significantly extensions, generalizations, refinements, counterparts, new Hermite-Hadamard-type inequalities and numerous applications, we refer the interested reader to [2,3,5,6,8,9,12,13,15,16] and the references there in.…”