Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 4 5 2016 10 17 Some Integral Inequalities of the Hermite-Hadamard Type for Strongly Quasi-convex Functions 132 134 EN Yi-Xuan Sun Jing-Yu Wang Bai-Ni Guo School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, China TJANT2016452 10.12691/tjant-4-5-2 2016 7 11 2016 8 30 2016 10 15 In the paper, the authors introduce a new notion 'strongly quasi-convex function', establish an integral identity for strongly quasi-convex functions, and establish some new integral inequalities of the Hermite-Hadamard type for strongly quasi-convex functions.