Weierstrass逼近定理在多元函数中的推广  

WEIERSTRASS APPROXIMATION THEOREM IN THE PROMOTION OF MULTI-FUNCTION

作　　者：刘丽英[1] 李春宏[1] 吴中华[1] 

机构地区：[1]成都理工大学信息管理学院,四川成都610059

出　　处：《南阳理工学院学报》2009年第6期85-87,共3页Journal of Nanyang Institute of Technology

摘　　要：本文通过对有界闭区间的连续函数可用多项式序列来一致逼近的重要性质的分析,将著名的Weierstrass逼近定理推广到多元函数,并给出了详细的证明及在有些空间的验证。In this paper,the continuous function defined on bounded interval can be uniformly approximated by polynomial sequence. By this way the famous Weierstrass approximation theorem is extended to the multi-function,and the detailed proof and verification in some space are given.

关 键 词：k维方体 BERNSTEIN多项式 WEIERSTRASS逼近定理 

分 类 号：O29[理学—应用数学]