Lupas算子对局部有界函数的点态逼近估计  

Pointwise approximation of Lupas operators to locally bounded functions

作　　者：王涛 WANG Tao(School of Mathematics and Statistics,Shandong University of Technology,Zibo 255049,Shandong,China)

机构地区：[1]山东理工大学数学与统计学院,山东淄博255049

出　　处：《山东大学学报（理学版）》2020年第2期9-15,共7页Journal of Shandong University(Natural Science)

摘　　要：利用概率方法并结合区间分割技术和Bojanic-Cheng方法研究了Lupas算子对局部有界函数的点态逼近估计,得到了Lupas算子的渐近估计。In this paper the approximation properties of new type Lupas operators are studied to the locally bounded functions by means of probability methods and Bojanic-Cheng methods combining with analysis technique and interval division technique.The asymptotic estimate of Lupas operators is obtained.

关 键 词：Lupas算子 局部有界函数 中心极限定理 

分 类 号：O174.41[理学—数学]