Acar, TuncerAral, AliRasa, Ioan2020-06-252020-06-252014closedAccess0096-30031873-5649https://doi.org/10.1016/j.amc.2014.09.049https://hdl.handle.net/20.500.12587/5704Acar, Tuncer/0000-0003-0982-9459; Rasa, Ioan/0000-0002-5206-030XIn this paper we investigate the power series of Beta operators. We first study the convergence of this series and describe the Voronovskaya operator A and the inverse Voronovskaya operator. Then, a quantitative convergence result for the inverse Voronovskaya operator via smoothing approach is given. The power series is also related to the resolvent of A and the semigroup generated by A. (C) 2014 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessBeta operatorsPower seriesVoronovskaya operatorArticle24781582310.1016/j.amc.2014.09.0492-s2.0-84908108615Q1WOS:000344474800071Q1