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arXiv · 1402.3216

Power series of the operators $U_n^{\varrho}$

Heiner Gonska·Ioan Raşa·Elena Dorina Stănilă
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Abstract

We study power series of members of a class of positive linear operators reproducing linear function and constituting a link between genuine Bernstein-Durrmeyer and classical Bernstein operators. Using the eigenstructure of the operators we give a non-quantitative convergence result towards the inverse Voronovskaya operators. We include a quantitative statement via a smoothing approach.

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Heiner Gonska, Ioan Raşa, Elena Dorina Stănilă. 2014-02-13. Power series of the operators $U_n^{\varrho}$. https://arxiv.org/abs/1402.3216

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