Nonlinear Bernstein-type operators providing a better error estimation
Nonlinear Bernstein-type operators providing a better error estimation
In this paper, when approximating a continuos non-negative 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 …