Gr\"uss and Gr\"uss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables
Classical Analysis and ODEs
2014-01-28 v1
Abstract
The first aim of this paper is to prove a Gr\"uss-Voronovskaya estimate for Bernstein and for a class of Bernstein-Durrmeyer polynomials on . Then, Gr\"uss and Gr\"uss-Voronovskaya estimates for their corresponding operators of complex variable on compact disks are obtained. Finally, the results are extended to Bernstein-Faber polynomials attached to compact sets in the complex plane.
Keywords
Cite
@article{arxiv.1401.6824,
title = {Gr\"uss and Gr\"uss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables},
author = {Sorin Gal and Heiner Gonska},
journal= {arXiv preprint arXiv:1401.6824},
year = {2014}
}