关于Bernstein算子的导数逼近

On the approximation of derivatives by Bernstein operators

研究了Bernstein算子的任意阶导数对有界变差函数的逼近,给出了点态收敛阶并证明了本文的结果是不能改进的。

Having studied the approximation by the free order derivatives of Bernstein operators to the functions with derivatives bounded variation in the close interval 0 to 1, the degree of pointwise convergence is given and the deduction proves that this results cannot be further improved.