一类新型的Bernstein算子的逼近性质  

Approximation of a New Family of Generalized Bernstein Operators

作　　者：傅仙发[1] FU Xianfa(Department of Basic Course,Meizhouwan Vocational Technology College,Putian Fujian 351254,China)

机构地区：[1]湄洲湾职业技术学院基础部,福建莆田351254

出　　处：《莆田学院学报》2020年第2期9-12,共4页Journal of putian University

基　　金：湄洲湾职业技术学院教师教育科研项目(MZY1902)。

摘　　要：利用Ditzian-Totik光滑模,研究了一类新型的Bernstein算子的逼近性质。根据经典的Bojanic-Cheng分解方法,结合分析技术,讨论了该算子对一类导数为有界变差的函数类的逼近,所得结果推广了Bojanic-Cheng的研究工作。A direct approximation was established by means of the Ditzian-Totik modulus of smoothness.By using Bojanic-Cheng s method and analysis techniques,this paper studied the rate of convergence of this type operators for some absolutely continuous functions having a derivative equivalent to a bounded variation.The research promotes the work of Bojanic-Cheng.

关 键 词：新型的Bernstein算子 光滑模 有界变差 

分 类 号：O174.41[理学—数学]