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《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   

  1. 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   

  1. School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, Shandong, China
  • Published:2021-11-25

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
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[1] 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.
[2] 王 涛,耿红玲 . Lupas-Bezier型算子列对局部有界函数的点态逼近估计[J]. J4, 2007, 42(8): 83-85 .
[3] 王 涛 . Post-Gamma算子关于导数为局部有界函数的点态逼近估计[J]. J4, 2007, 42(4): 75-78 .
[4] 周运明 . 广义LupasBaskakov算子关于导数为局部有界函数的点态逼近估计[J]. J4, 2006, 41(1): 69-73 .
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