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Öğe GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI'S INEQUALITY(Turkic World Mathematical Soc, 2019) Erden, Samet; Sarıkaya, Mehmet Zeki; Dragomir, Silvestru SeverWe establish some generalizations of power Pompeiu's inequality for local fractional integral. Afterwards, these results gave some new generalized Ostrowski type inequalities. Finally, some applications of these inequalities for generalized special means are obtained.Öğe New some Hadamard's type inequalities for co-ordinated convex functions(2012) Sarıkaya, Mehmet Zeki; Set, Erhan; Özdemir, Mehmet Emin; Dragomir, Silvestru SeverIn this paper, we establish new some Hermite-Hadamard's type in-equalities of convex functions of 2-variables on the co-ordinates.Öğe Some perturbed ostrowski type inequalities for twice differentiable functions(Springer International Publishing, 2018) Budak, Hüseyin; Sarıkaya, Mehmet Zeki; Dragomir, Silvestru SeverIn this study, we first obtain an identity for twice differentiable functions. Then we establish some perturbed Ostrowski type integral inequalities for functions whose second derivatives are bounded. Moreover, some perturbed versions of Ostrowski type inequalities for mapping whose second derivatives are either of bounded variation or Lipschitzian. © 2018, Springer Nature Singapore Pte Ltd.
