TY - JOUR T1 - New Ostrowski type inequalities for GA-convex functions AU - Çoban, Hüsnü Anıl AU - Iscan, İmdat AU - Kunt, Mehmet PY - 2016 DA - December JF - New Trends in Mathematical Sciences PB - Mustafa BAYRAM WT - DergiPark SN - 2147-5520 SP - 1 EP - 11 VL - 4 IS - 4 LA - en AB - In this work, we reveal a new equality for differentiable functions. By using this equality, we have some new Ostrowki type inequalities and some error estimates for the midpoint formula for functions whose derivatives in absolute values at certain powers are GA-convex. KW - Ostrowski type inequalities KW - midpoint type inequalities CR - M. Alomari,M. Darus, Some Ostrowski’s type inequalities for convex functions with applications, RGMIA Res.Rep. Collect., 13(1) (2010), Article 3, 1-14. CR - S. S. Dragomir, T. M. Rassias, Ostrowski type inequalities and applications in numerical integration, Kluwer Academic Publishers, 2002. CR - I. Iscan, Hermite-Hadamard type inequalities for GA-s-convex functions,Le Matematiche, Vol. LXIX (2014) 129-146. CR - I. Iscan, Ostrowski type inequalities for harmonically s-convex functions, Konuralp Jurnal of Mathematics, Volume 3, No 1 (2015) 63-74. CR - I. Iscan, S. Numan, Ostrowski type inequalities for harmonically quasi-convex functions, Elect. J. Math. Anal. App., 2(2) (2014) 189-198. CR - C. P. Niculescu, Convexity according to the geometric mean, Math. Inequal. Appl. 3 (2) (2000), 155–167. CR - A. Ostrowski, ¨Uber die Absolutabweichung einer differentienbaren Funktionen von ihren Integralmittelwert. Comment. Math. Hel, 10 (1938), 226–227. CR - M. E. ¨Ozdemir, C¸ . Yıldız, New Ostrowski Type Inequalities for Geometrically Convex Functions, Int. J. Modern Math. Sci., 8(1) (2013) 27-35. CR - E. Set, M. E. ¨Ozdemir, M. Z. Sarıkaya, New inequalities of Ostrowski’s type for s-convex functions in the second sense with applications, Facta Uni. Ser. Math. Inform. 27(1) (2012) 67-82. UR - https://dergipark.org.tr/tr/pub/ntims/issue//526034 L1 - https://dergipark.org.tr/tr/download/article-file/647433 ER -