eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2014-06-03 2 3 60 64 10.12691/tjant-2-3-1 TJANT2014231 article Tian-Yu Zhang zhangtianyu7010@126.com 1 Feng Qi 2 3 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin City, China In the paper, the authors introduce the concept “m-AH convex functions” and establish some inequalities of Hermite-Hadamard type for m-AH convex functions. http://pubs.sciepub.com/tjant/2/3/1/tjant-2-3-1.pdf Hermite-Hadamard‘s inequality m-AH convex function Hölder’s inequality