| APPROXIMATION OF A KIND OF NEVAI-DURRMEYER OPERATORS IN Lω^p SPACES |
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| 作者姓名： | Guanzhen Zhou |
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| 基金项目： | Supported by Scientific Research Fund of Zhejiang Provincial Education Department（No. 20030431）, the Young College Teachers Program of Zhejiang Province, and the Young Doctor Foundation of City of Ningbo （No. 2004A620017, 2005A620032）. |
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| 摘 要： | The present paper introduces a kind of Nevai-Durrmeyer operators which can be used to approximate functions in Lω^p, spaces with the weight ω（x）=1/√（1-x^2） and the approximate rate is also estimated.
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| 关 键 词： | Nevai-Durrmeyer算子 Lω^p空间 Jackson估计 近似函数 |
| 收稿时间： | 2005-04-25 |
| 修稿时间： | 2005-05-02 |
Approximation of a kind of Nevai-Durrmeyer operators inL
w
p
spaces |
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| Guanzhen Zhou.Approximation of a kind of Nevai-Durrmeyer operators inL
w
p
spaces[J].Analysis in Theory and Applications,2005,21(3):294-300. |
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| Authors: | Guanzhen Zhou |
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| Institution: | (1) Department of Mathematics, Ningbo University, 315211 Ningbo, P.R. China |
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| Abstract: | The present paper introduces a kind of Nevai-Durrmeyer operators which can be used to approximate functions in L
w
p
spaces with the weight ω(x)=1/∝1−x
2, and the approximate rate is also estimated.
Supported by Scientific Research Fund of Zhejiang Provincial Education Department (No. 20030431), the Young College Teachers
Program of Zhejiang Province, and the Young Doctor Foundation of City of Ningbo (No. 2004A620017, 2005A620032). |
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| Keywords: | Nevai-Durrmeyer operator weighted Lp space Jackson estimate |
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