Lupas算子对局部有界函数的点态逼近估计

doi:10.6040/j.issn.1671-9352.0.2019.067

《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (2): 9-15.doi: 10.6040/j.issn.1671-9352.0.2019.067

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Lupas算子对局部有界函数的点态逼近估计

王涛

山东理工大学数学与统计学院, 山东淄博 255049

发布日期:2020-02-14
作者简介:王涛(1976— ),男,硕士,讲师,研究方向为算子逼近. E-mail:ht_wangtao76@163.com

Pointwise approximation of Lupas operators to locally bounded functions

WANG Tao

School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, Shandong, China

Published:2020-02-14

摘要/Abstract

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。

关键词: Lupas算子, 局部有界函数, 中心极限定理

Abstract: 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.

Key words: Lupas operator, locally bounded function, central limited theorem

中图分类号:

O174.41

王涛. Lupas算子对局部有界函数的点态逼近估计[J]. 《山东大学学报(理学版)》, 2020, 55(2): 9-15.

WANG Tao. Pointwise approximation of Lupas operators to locally bounded functions[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(2): 9-15.

参考文献

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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

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