eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2015-04-17 3 2 43 48 10.12691/tjant-3-2-2 TJANT2015322 article Some Generalizations of Integral Inequalities of Hermite-Hadamard Type for n-Time Differentiable Functions Tian-Yu Zhang 1 Bai-Ni Guo bai.ni.guo@hotmail.com 2 College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City, Inner Mongolia Autonomous Region, China School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, China In the paper, by establishing two integral identities and Hölder integral inequality, the authors generalize some integral inequalities of Hermite-Hadamard type for n-time differentiable functions on a closed interval. http://pubs.sciepub.com/tjant/3/2/2/tjant-3-2-2.pdf generalization Hermite-Hadamard integral inequality differentiable function H?lder integral inequality