eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2018-08-23 6 4 125 128 10.12691/tjant-6-4-5 TJANT2018645 article P. O. MOHAMMED pshtiwansangawi@gmail.com 1 Department of Mathematics, College of Education, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq In this paper, some new inequalities of the trapezoid type for h-convex functions via generalized fractional integral are given. The results also provide new estimates on these types of trapezoid inequalities for Riemann-Liouville type fractional operators. http://pubs.sciepub.com/tjant/6/4/5/tjant-6-4-5.pdf Riemann-Liouville fractional integral h-convex function Convex functions integral inequalities