Published January 1, 2014
| Version v1
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Power series of Beta operators
Creators
- 1. Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey
- 2. Tech Univ Cluj Napoca, Cluj Napoca, Romania
Description
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. (C) 2014 Elsevier Inc. All rights reserved.
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