摘要
利用随机的Bernstein多项式研究随机逼近问题具有一定的意义.借助弱收敛的概念,从分布函数的角度,讨论了随机Bernstein多项式依分布收敛问题.同时,与依概率收敛结果相比较,以此说明Bernstein多项式序列依分布收敛适用的范围更广.
It is very meaningful for studying the approximation problem of the random Bernstein polynomial. In this paper, the convergence in distribution problems of the random Bernstein polynomial is discussed in use of the weak convergence. Comparing with the convergence in probability, the convergence in distribution is more useful.
出处
《数学的实践与认识》
CSCD
北大核心
2013年第12期246-248,共3页
Mathematics in Practice and Theory
基金
辽宁省教育厅立项项目(2012411)
