Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 5 2 2017 4 15 Some New Integral Inequalities for n-times Differentiable s- Convex functions in the first sense 63 68 EN Mahir Kadakal Department of Mathematics, Faculty of Sciences and Arts, Giresun University-Giresun-TÜRKİYE Huriye Kadakal ?mdat ??can TJANT2017524 10.12691/tjant-5-2-4 2016 10 26 2017 2 15 2017 4 13 In this work, by using an integral identity together with both the Hölder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable -convex functions in the first sense.