Pointwise Approximation for the Iterated Boolean Sums of Bernstein Operators  

作　　者：HUO Xiao-yan LI Cui-xiang YAO Qiu-mei 

机构地区：[1]Department of Mathematics, Mechanical Engineering College, Shijiazhuang 050003, China [2]College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China [3]Department of Mathematics, Hebei Women's Vocational College, Shijiazhuang 050091, China

出　　处：《Chinese Quarterly Journal of Mathematics》2013年第1期129-138,共10页数学季刊（英文版）

基　　金：Supported by the NNSF of China(10771049)

摘　　要：In this paper, with the help of modulus of smoothness ω2r(f,t), we discuss the pointwise approximation properties for the iterated Boolean sums of Bernstein operator B n and obtain direct and inverse theorems when 1-1/r ≤λ≤ 1, r ∈N.In this paper, with the help of modulus of smoothness ωφ^2r（f,t）,, we discuss thepointwise approximation properties for the iterated Boolean sums of Bernstein operator B,~ 1and obtain direct and inverse theorems when 1-1/r≤λ≤1,r∈N.

关 键 词：Bernstein operators the iterated Boolean sums modulus of smoothness 

分 类 号：O174.41[理学—数学]