eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2014-09-03 2 4 140 146 10.12691/tjant-2-4-7 TJANT2014247 article Feng Qi qifeng618@gmail.com, 1 Muhammad Amer Latif 2 Wen-Hui Li 3 Sabir Hussain 4 Institute of Mathematics, Henan Polytechnic University, Jiaozuo City, Henan Province, China College of Science, Department of Mathematics, University of Hail, Hail, Saudi Arabia Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin City, China Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan In the paper, the authors find some new integral inequalities of Hermite-Hadamard type for functions whose derivatives of the n-th order are (,m)-convex and deduce some known results. As applications of the newly-established results, the authors also derive some inequalities involving special means of two positive real numbers. http://pubs.sciepub.com/tjant/2/4/7/tjant-2-4-7.pdf Hermite-Hadamard integral inequality convex function (α m)-convex function differentiable function; application; mean