修正的Bernstein算子及若干结论

Modified Bernstein Operators and Some Conclusions.

本文定义有界区间上的无界函数类及Ｂｅｒｎｓｔｅｉｎ修正算子，并讨论该算子的收敛性及保证收敛的最小项数．

In this paper,the convergence of modified Bernstein operators is investigated,and an exact condition to guarantee the operators to converge to f(x)∈C 0,1) (but unbound on 0,1 ) with the smallest terms is obtained.