数学杂志2020，Vol.40Issue(4)：408-414,7.
Lipschitz连续函数的α-Bernstein算子
THE α-BERNSTEIN OPERATOR OF A LIPSCHITZ CONTINUOUS FUNCTION
摘要
Abstract
The relationship between the α-Bernstein operator and its approximation function is discussed in this paper.If the α-Bernstein operator belongs to the class of Lipschitz functions,then its approximation function f(x) also does,and vice versa.Moreover,the α-Bernstein operator can maintain the Lipschitz constant of the original function.关键词
函数逼近/α-Bernstein算子/Lipschitz连续/Lipschitz函数Key words
function approximation/α-Bernstein operators/Lipschitz continuity/Lipschitz functions分类
数理科学引用本文复制引用
刘植,王楚涵,陈晓彦,檀结庆..Lipschitz连续函数的α-Bernstein算子[J].数学杂志,2020,40(4):408-414,7.基金项目
Supported by National Natural Science Foundation of China (11601115). （11601115）
