Pointwise simultaneous approximation by combinations of Baskakov operators

被引：3
|
作者：
Sen Xie, Lin [1 ]
Shi, Zhong Rui
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Lishui Univ, Dept Math, Lishui 323000, Peoples R China
[3] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Baskakov operator; combination; simultaneous approximation; modulus of smoothness;
D O I：
10.1007/s10114-005-0827-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the relation between the rate of convergence for the derivatives of the combinations of Baskakov operators and the smoothness for the derivatives of the functions approximated. We give some direct and inverse results on pointwise simultaneous approximation by the combinations of Baskakov operators. We also give a new equivalent result on pointwise approximation by these operators.
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页码：935 / 944
页数：10
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