应用概率方法证明Weierstrass逼近定理

Proof of Weierstrass' Approximation Theorem with the Probability Method

通过引入Bernstein多项式,应用概率论中的有关结论直接证明了Weierstrass逼近定理.

A new method for the proof of the Weierstrass approximation theorem with introducing Bernstein's polynomial and some results of the probability is developed in this paper.