Science and Education Publishing Turkish Journal of Analysis and Number Theory 2 3 2014 07 03 On The Hermite- Hadamard-Fejér Type Integral Inequality for Convex Function 85 89 EN Mehmet Zeki Sarikaya Department of Mathematics, Faculty of Science and Arts, Düzce University, Konu-ralp Campus, Düzce-TURKEY Samet Erden TJANT2014236 10.12691/tjant-2-3-6 2014 06 17 2014 06 27 2014 07 03 In this paper, we extend some estimates of the right hand side of a Hermite- Hadamard-Fejér type inequality for functions whose first derivatives absolute values are convex. The results presented here would provide extensions of those given in earlier works.