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Öğe On New Inequalities via Riemann-Liouville Fractional Integration(Hindawi Ltd, 2012) Sarıkaya, Mehmet Zeki; Öğünmez, HasanWe extend the Montgomery identities for the Riemann-Liouville fractional integrals. We also use these Montgomery identities to establish some new integral inequalities. Finally, we develop some integral inequalities for the fractional integral using differentiable convex functions.Öğe On the Weighted Ostrowski-type Integral Inequality for Double Integrals(Springer Heidelberg, 2011) Sarıkaya, Mehmet Zeki; Öğünmez, HasanIn this paper, we establish a new weighted Ostrowski-type inequality for double integrals involving functions of two independent variables by using fairly elementary analysis.Öğe Some generalized Ostrowski type inequalities for functions whose second derivatives absolute values are convex and applications(Elsevier Science Bv, 2017) Erdem, Yusuf; Budak, Hüseyin; Öğünmez, HasanWe first establish some Ostrowski type inequalities for mappings whose second derivatives absolute values are convex. Then we give some special cases of these inequalities which provide extensions of those given in earlier works. Finally, some applications of these inequalities for special means are also provided. (C) 2017 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license
