eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2014 revised March 14, 2014 accepted March 16, 2014--1-4 2 1 23 28 10.12691/tjant-2-1-6 TJANT2014216 article De-Ping Shi 1 Bo-Yan Xi baoyintu78@qq.com 1 Feng Qi 1 2 3 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, China In the paper, via Riemann-Liouville fractional integration, the authors present some new inequalities of Hermite-Hadamard type for functions whose derivatives in absolute value are (m, h1, h2)-convex. http://pubs.sciepub.com/tjant/2/1/6/tjant-2-1-6.pdf Riemann-Liouville fractional integral (m h1 h2)-convex function integral inequality of Hermite-Hadamard type