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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.Öğe On the Generalized Sylvester Polynomials(Springer International Publishing, 2019) Özmen, Nejla; Duman, Esra ErkuşIn this study, we give some new properties for the generalized Sylvester polynomials. The results obtained here include various families of multilinear and multilateral generating functions and miscellaneous properties. In addition, we derive a theorem giving certain families of bilateral generating functions for the generalized Sylvester polynomials and the Lauricella functions. Finally, we get several results of this theorem. © Springer Nature Switzerland AG 2019.