关于Sikkema-Bernstein多项式导数的迭代极限

Iterative Limit of Sikkema--Bernstein Polynomial's Derivative

本文首先给出了Sikkema-Bernstein多项式导数的迭代极限及误差估计;然后构造一个整系数Sikkema-Bernstein型多项式,并给出了该多项式的导数逼近导函数是有界变差时的收敛阶估计式.

At first, this paper gives iterative limit of Sikkema - Bernstein polynomial's derivative as wellas error estimate. Then it constructs an integer coefficient Sikkema - Bernstein polynomial, andgives convergence order estimating form when the approximation derived function of thispolynomial's derivative is bounded veriation.