Lupas-King型算子列的逼近性质  

Approximation properties of Lupas-King type operators

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）》2021年第12期72-77,共6页Journal of Shandong University(Natural Science)

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。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.

关 键 词：Lupas-King型算子 局部有界函数 渐近估计 点态估计 

分 类 号：O174.41[理学—数学]