一类推广的Bernstein算子的逼近  

Approximation for a kind of generalized Bernstein operators

作　　者：任美英[1] 

机构地区：[1]武夷学院数学与计算机系,福建武夷山354300

出　　处：《东北师大学报（自然科学版）》2013年第3期30-34,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61175055);福建省科技计划重点项目(2011Y0049);福建省教育厅A类科技项目(JA12324)

摘　　要：通过Bernstein多项式的基函数,引进一类推广的Bernstein算子序列,并借助于连续模研究该算子序列的一些逼近性质.同时,还得到一个Voronovskaja-type结果.In this paper, a kind of generalized Bernstein operators {E. }.eN is introduced through the primary function of the Bernstein polynomial, and by means of the modulus of continuity, some approximate properties of {E,, }.~N are studied. At the same time, a Voronovskaja-type result for the operators is obtained.

关 键 词：Bernstein型算子列 K-泛函 光滑模 逼近性质 Voronovskaja-type结果 

分 类 号：O174.5[理学—数学]