Some New Integral Inequalities for Functions Whose Derivatives of Absolute Values Are s-Convex

eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2019-05-26 7 3 70 76 10.12691/tjant-7-3-3 TJANT2019733 article Some New Integral Inequalities for Functions Whose Derivatives of Absolute Values Are s-Convex M. Emin Özdemir eminozdemir@uludag.edu.tr 1 Alper Ekinci 2 Uludag University, Education Faculty, Bursa, Turkey Bandirma Onyedi Eylul University, Bandirma Vocational School, Bal?kesir, Turkey In this paper, we prove some new inequalities for the functions whose derivatives absolute values are s-convex by dividing the interval to equal even sub-intervals. We obtain some new results involving intermediate values of in by using some classical inequalities like Hermite-Hadamard, Hölder and Power-Mean. http://pubs.sciepub.com/tjant/7/3/3/tjant-7-3-3.pdf s-convex functions Hermite-Hadamard Inequality power-mean inequality h?lder inequality