eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2016-10-17 4 5 132 134 10.12691/tjant-4-5-2 TJANT2016452 article Yi-Xuan Sun 1 Jing-Yu Wang 1 Bai-Ni Guo bai.ni.guo@gmail.com, bai.ni.guo@hotmail.com 2 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, Inner Mongolia Autonomous Region, China School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, China 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. http://pubs.sciepub.com/tjant/4/5/2/tjant-4-5-2.pdf integral identity integral inequality Hermite-Hadamard type strongly quasi-convex function H?lder inequality