Pointwise Simultaneous Approximation by Combinations of Baskakov Operators

被引：0
作者：
Lin Sen Xie
Zhong Rui Shi
机构：
[1] Shanghai University,Department of Mathematics
[2] Lishui University,Department of Mathematics
[3] Shanghai University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2007年 / 23卷
关键词：
Baskakov operator; combination; simultaneous approximation; modulus of smoothness; 41A36;
D O I：
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学科分类号：
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：9
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共 10 条
[1]  
Becker undefined(1978)undefined Indiana Univ. Math. J. 27 127-undefined
[2]  
Totik undefined(1983)undefined Periodica Math. Hungar 14 209-undefined
[3]  
Felten undefined(1998)undefined J. Approx. Theory 94 396-undefined
[4]  
Xie undefined(2000)undefined Chin. Ann. of Math. 21A 253-undefined
[5]  
Ditzian undefined(1992)undefined Canad. J. Math. 44 924-undefined
[6]  
Ditzian undefined(1993)undefined SIAM J. Math. Anal. 24 1652-undefined
[7]  
Xie undefined(2002)undefined Approx. Theory and Its Appl. 18 76-undefined
[8]  
Zhang undefined(2003)undefined Math. Appl. 16 54-undefined
[9]  
Xie undefined(2001)undefined J. Nanjing Univ. Math. Biquarterly 18 251-undefined
[10]  
Berens undefined(1972)undefined Indiana Univ. Math. J. 21 693-undefined
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