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arXiv · 1401.6824

Grüss and Grüss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables

Sorin Gal·Heiner Gonska
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Abstract

The first aim of this paper is to prove a Grüss-Voronovskaya estimate for Bernstein and for a class of Bernstein-Durrmeyer polynomials on $[0, 1]$. Then, Grüss and Grüss-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.

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Sorin Gal, Heiner Gonska. 2014-01-27. Grüss and Grüss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables. https://arxiv.org/abs/1401.6824

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