关于a-Bernstein算子Voronovskaja定理的注记  

A NOTE ON THE VORONOVSKAJA THEOREM FORα-BERNSTEIN OPERATORS

作　　者：陈晓彦[1] 檀结庆[1] 刘植[1] 时军[1] Chen Xiaoyan;Tan Jieqing;Liu Zhi;Shi Jun(School of Mathematics,Hefei University of Technology,Hefei 230009)

机构地区：[1]合肥工业大学数学学院,合肥230009

出　　处：《高等学校计算数学学报》2019年第4期316-322,共7页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金(11601115).

摘　　要：The a-B ernstein operators possess similar approxim ation properties to the classic Bernstein operators.The main purpose of this note is to introduce another form of Voronovskaja theorem for the linear positive operators and provide a proof of the restricted version of the theorem,which takes very little tim e to describe.

关 键 词：Bernstein operator a-Bernstein operator Voronovskaja theorem asym ptotic error. 

分 类 号：O174.41[理学—数学]