eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-02-11 6 1 16 29 10.12691/tjant-6-1-3 TJANT2018613 article Artion Kashuri artionkashuri@gmail.com 1 Rozana Liko 1 Tingsong Du 2 Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, Vlora, Albania College of Science, China Three Gorges University, 443002, Yichang, P. R. China In this article, we first presented a new integral identity concerning differentiable mappings defined on m-invex sets. By using the notion of generalized relative semi-(r; m, p, q, h1, h2)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type inequalities are established. It is pointed out that some new special cases can be deduced from main results of the article. http://pubs.sciepub.com/tjant/6/1/3/tjant-6-1-3.pdf Ostrowski type inequality H?lder's inequality Minkowski inequality power mean inequality m-invex