Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 4 2 2016 7 29 Integral Inequalities for Mappings Whose Derivatives Are s-Convex in the Second Sense and Applications to Special Means for Positive Real Numbers 48 53 EN MEVLÜT TUNÇ Mustafa Kemal University, Faculty of Science and Arts, Department of Mathematics, Hatay, Turkey SEVIL BALGEÇTİ TJANT2016425 10.12691/tjant-4-2-5 2016 2 25 2016 6 10 2016 7 27 In this paper, the authors establish a new type integral inequalities for differentiable s-convex functions in the second sense. By the well-known Hölder inequality and power mean inequality, they obtain some integral inequalities related to the s-convex functions and apply these inequalities to special means for positive real numbers.