Optimality of generalized Bernstein operators

doi:10.1016/j.jat.2010.03.003

Journal of Approximation Theory

Volume 162, Issue 7, July 2010, Pages 1407-1416

https://doi.org/10.1016/j.jat.2010.03.003 Get rights and content

Under an Elsevier user license

open archive

Abstract

We show that a certain optimality property of the classical Bernstein operator also holds, when suitably reinterpreted, for generalized Bernstein operators on extended Chebyshev systems.

Keywords

Bernstein polynomial

Bernstein operator

Extended Chebyshev space

Exponential polynomial