eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2016-07-29 4 2 48 53 10.12691/tjant-4-2-5 TJANT2016425 article Integral Inequalities for Mappings Whose Derivatives Are s-Convex in the Second Sense and Applications to Special Means for Positive Real Numbers MEVLÜT TUNÇ mevluttttunc@gmail.com 1 SEVIL BALGEÇTİ 1 Mustafa Kemal University, Faculty of Science and Arts, Department of Mathematics, Hatay, Turkey 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. http://pubs.sciepub.com/tjant/4/2/5/tjant-4-2-5.pdf s-convexity Hermite-Hadamard Inequality Bullen's inequality Special Means