B─D算子的导数对有界变差函数的收敛速度  

The convergence rate of Bernstein-Durrmeyer operator’s derivative on bounded variation functions

作　　者：李宾[1] 

机构地区：[1]长春邮电学院基础部

出　　处：《长春邮电学院学报》1995年第2期62-66,共5页Journal of Changchun Post and Telecommunication Institute

摘　　要：研究了Ｂｅｒｎｓｔｅｉｎ－Ｄｕｒｒｍｅｙｅｒ算子的任意阶导数对闭区间￣［０，１］上有界变差函数的逼近，给出了点态收敛阶，并证明了本文所得到的结果是不能改进的。Having studied the approximation of the free order derivatives of Bernstein-Dur-rmeyer operator’s to the functions with bounded variation in the open interval 0 to 1, the degree of pointwise convergence is given and the deduction proves thatthis results cannot be improved further。

关 键 词：导数 逼近 有界变差函数 B-D算子 收敛 

分 类 号：O174.41[理学—数学]