Lupas-King型算子列的逼近性质

doi:10.6040/j.issn.1671-9352.0.2021.152

《山东大学学报(理学版)》 ›› 2021, Vol. 56 ›› Issue (12): 72-77.doi: 10.6040/j.issn.1671-9352.0.2021.152

• • 上一篇

Lupas-King型算子列的逼近性质

王涛

山东理工大学数学与统计学院, 山东淄博 255049

发布日期:2021-11-25
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

Approximation properties of Lupas-King type operators

WANG Tao

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

Published:2021-11-25

摘要/Abstract

摘要： 利用分析方法和技巧研究了Lupas-King型算子列的渐近性质,同时利用函数的分解技巧并结合区间分割技术研究了Lupas-King型算子列对导函数为局部有界函数的点态估计。

关键词: Lupas-King型算子, 局部有界函数, 渐近估计, 点态估计

Abstract: The asymptotic approximation properties of Lupas-King operators are studied by means of analysis methods and techniques. This paper studies pointwise approximation properties of Lupas-King operators for functions with locally bounded derivatives by combining with decomposition technique of functions and interval division technique.

Key words: Lupas-King operator, locally bounded function, asymptotic estimate, pointwise approximation

中图分类号:

O174.41

王涛. Lupas-King型算子列的逼近性质[J]. 《山东大学学报(理学版)》, 2021, 56(12): 72-77.

WANG Tao. Approximation properties of Lupas-King type operators[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(12): 72-77.

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Lupas-King型算子列的逼近性质

Approximation properties of Lupas-King type operators

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