关于 Bernstein 算子， Kantorovich 算子的逼近问题

On a Question of Approximation of Bernstein Operator and Kantorovich Operator

本文建立了Ｂｅｒｎｓｔｅｉｎ多项式和Ｋａｎｔｏｒｏｖｉｃｈ多项式的Ｐ阶导数对函数的Ｐ阶导数逼近的渐近度开式。

let f∈C p+1 .In this paper, we obrain the asymptotic represention of remainder of approximation of f (p) (x)by the derivatives of Bernstein polynomial and Kantorovich polynomial.