关于Bernstein型求和算子收敛阶的点态估计

Point Estimation About the Convergence Order of the Summation Operator of Bernstein Type

对以(1-x)Wn(x)的零点作为插值节点构造的Bernstein型求和算子Fn(f;x)的一致收敛性及最佳逼近阶研究的基础上,首先给出了一个Bernstein型求和算子及其相关引理,然后研究一个Bernstein型求和算子对于连续函数类一致收敛,并且在连续状态下得到了点态逼近阶。

At first, a summation operator of Bernstein type and related lemma is given in this paper; then, the summation operator of Bernstein type converge uniformly is studied on continuous functional type ,and the convergence order relative to dots is obtained.