Baskakov-Kantorovich算子在紧圆盘上的复逼近性质

数学物理学报 ›› 2018, Vol. 38 ›› Issue (4): 641-648.

Baskakov-Kantorovich算子在紧圆盘上的复逼近性质

李文霞¹, 齐秋兰^1,2

1 河北师范大学数学与信息科学学院石家庄 050024;
2 河北省计算数学与应用重点实验室石家庄 050024

收稿日期:2017-04-24 修回日期:2017-09-29 出版日期:2018-08-26 发布日期:2018-08-26
通讯作者: 齐秋兰,E-mail:qiqiulan@163.com E-mail:qiqiulan@163.com
作者简介:李文霞,E-mail:liwenxiaabc@163.com
基金资助:
国家自然科学基金（10571040）

Complex Approximation Properties of the Baskakov-Kantorovich Operators in Compact Disks

Li Wenxia¹, Qi Qiulan^1,2

1 College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024;
2 Hebei Key Laboratory of Computational Mathematics and Applications, Shijiazhuang 050024

Received:2017-04-24 Revised:2017-09-29 Online:2018-08-26 Published:2018-08-26
Supported by:
Supported by the NSFC (10571040)

摘要/Abstract

摘要： 改进了Baskakov-Kantorovich算子在复空间的定义，研究了该算子的性质及对复空间解析函数的逼近，得到了Baskakov-Kantorovich型算子在紧圆盘上的逼近速度刻画.

关键词: Baskakov-Kantorovich型算子, 复逼近, Voronovskaja型结果

Abstract: In this paper, the approximation properties of the modified Baskakov-Kantorovich operators are studied according to the definition and properties in the complex space. We obtain the approximation order for the modified complex Baskakov-Kantorovich operators attached to entire functions or to analytic functions in compact disks.

Key words: Baskakov-Kantorovich-type operators, Complex approximation, Voronovskajatype results

中图分类号:

O175.41

李文霞, 齐秋兰. Baskakov-Kantorovich算子在紧圆盘上的复逼近性质[J]. 数学物理学报, 2018, 38(4): 641-648.

Li Wenxia, Qi Qiulan. Complex Approximation Properties of the Baskakov-Kantorovich Operators in Compact Disks[J]. Acta mathematica scientia,Series A, 2018, 38(4): 641-648.