MMN-1136
Nonlinear Bernstein-type operators providing a better error estimation
Abstract
In this paper, when approximating a continuos nonnegative function on the unit interval, we present an alternative way to the classical Bernstein polynomials. Our new operators become nonlinear, however, for some classes of functions, they provide better error estimations than the Bernstein polynomials. Furthermore, we obtain a simultaneous approximation result for these operators.
Vol. 15 (2014), No. 2, pp. 393-400
DOI: 10.18514/MMN.2014.1136