Power series of the operators $U_n^{\varrho}$
Classical Analysis and ODEs
2014-02-14 v1
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.
Keywords
Cite
@article{arxiv.1402.3216,
title = {Power series of the operators $U_n^{\varrho}$},
author = {Heiner Gonska and Ioan Raşa and Elena Dorina Stănilă},
journal= {arXiv preprint arXiv:1402.3216},
year = {2014}
}