Article ID Journal Published Year Pages File Type
6421016 Applied Mathematics and Computation 2014 9 Pages PDF
Abstract

In 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.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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