eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2014-04-21 2 2 53 59 10.12691/tjant-2-2-5 TJANT2014225 article Shahid Qaisar 1 Sabir Hussain sabiriub@yahoo.com 1 College of Mathematics and Statistics, Chongqing University, Chongqing, P. R. China Our aim in this article to establish various inequalities for some differentiable mapping that are connected with illustrious Hermite-Hadamard integral inequality for mapping whose absolute values of derivatives are convex. The new integral inequalities are then applied to some special means and as well as numerical integration to obtain some better estimates. http://pubs.sciepub.com/tjant/2/2/5/tjant-2-2-5.pdf Hermite-Hadamard type inequality convex functions special means Hölder’s integral inequality power-mean inequality Quadrature formula