| Bernstein算子的导数加Jacobi权逼近的正逆定理 |
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| 引用本文： | 李景斌.Bernstein算子的导数加Jacobi权逼近的正逆定理[J].兰州大学学报(自然科学版),2006,42(4):111-113. |
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| 作者姓名： | 李景斌 |
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| 作者单位： | 西北第二民族学院,经济管理系,宁夏,银川,750021 |
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| 摘 要： | 利用加权K-泛函与加权光滑模的等价关系,得到了加权意义下Bernstein算子的导数与它所逼近函数的光滑性之间关系的等价定理.
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| 关 键 词： | Bernstein算子 加权K-泛函 加权光滑模 加权逼近 |
| 文章编号： | 0455-2059（2006）04-0111-03 |
| 收稿时间： | 2005-02-28 |
| 修稿时间： | 2005-02-282005-12-02 |
The direct and the inverse approximated theorem of the derivatives of the Bernstein operators with Jacobi weights |
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| LI Jing-bin.The direct and the inverse approximated theorem of the derivatives of the Bernstein operators with Jacobi weights[J].Journal of Lanzhou University(Natural Science),2006,42(4):111-113. |
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| Authors: | LI Jing-bin |
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| Institution: | Department of Economics and Management, The Second Northwest Institute for Ethnic Minorities Yinchuan 750021, China |
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| Abstract: | Using the equivalence relation between weighted K-functional and weighted modula of smoothness, a direct theorem and inverse theorem of the relation connected with deriwtives of the Bernstein operators and the smoothness of functions are obtained. |
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| Keywords: | Bernstein operator weighted K-functional weighted moduli of smoothness weighted approximation |
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