移动紧圆盘上Bernstein-Durrmeyer型算子的逼近

数学物理学报 ›› 2020, Vol. 40 ›› Issue (3): 545-555.

• 论文 • 下一篇

移动紧圆盘上Bernstein-Durrmeyer型算子的逼近

庞兆鋆¹,虞旦盛^1,*(),周平²

¹ 杭州师范大学数学系杭州 310036
² Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, NS B2G 2W5, Canada

收稿日期:2019-05-15 出版日期:2020-06-26 发布日期:2020-07-15
通讯作者: 虞旦盛 E-mail:dsyu@hznu.edu.cn

On Approximation by Bernstein-Durrmeyer-Type Operators in Movable Compact Disks

Zhaojun Pang¹,Dansheng Yu^1,*(),Ping Zhou²

¹ Department of Mathematics, HangZhou Normal University, Hangzhou 310036
² Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, NS B2G 2W5, Canada

Received:2019-05-15 Online:2020-06-26 Published:2020-07-15
Contact: Dansheng Yu E-mail:dsyu@hznu.edu.cn

摘要/Abstract

摘要：

为了逼近移动圆盘上的解析函数，构造了一种新的Bernstein-Durrmeyer型算子，并给出其在移动圆盘上同时逼近的一致逼近速度估计.

关键词: 复Bernstein-Durrmeyer型算子, 可移动紧圆盘, 逼近估计

Abstract:

To approximate analytic functions in movable compact disks, we introduce a new kind of Bernstein-Durrmeyer-Type polynomials. The order of simultaneous approximation rate of the new polynomials in the movable compact disks is given.

Key words: Complex Bernstein-Durrmeyer type operators, Movable compact disks, Approximation rates

中图分类号:

O174

庞兆鋆,虞旦盛,周平. 移动紧圆盘上Bernstein-Durrmeyer型算子的逼近[J]. 数学物理学报, 2020, 40(3): 545-555.

Zhaojun Pang,Dansheng Yu,Ping Zhou. On Approximation by Bernstein-Durrmeyer-Type Operators in Movable Compact Disks[J]. Acta mathematica scientia,Series A, 2020, 40(3): 545-555.

参考文献 21

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移动紧圆盘上Bernstein-Durrmeyer型算子的逼近

On Approximation by Bernstein-Durrmeyer-Type Operators in Movable Compact Disks

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