| 多项式逐点逼近的一个注记 |
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| 引用本文： | 杜英芳.多项式逐点逼近的一个注记[J].天津师范大学学报(自然科学版),2014(3):21-23. |
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| 作者姓名： | 杜英芳 |
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| 作者单位： | 天津师范大学生命科学学院,天津300387 |
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| 摘 要： | 讨论连续函数利用代数多项式的逐点逼近问题.对于Sobolev空间中的函数,利用Legendre多项式的正交性给出了其利用多项式逼近的2个逐点逼近结果.
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| 关 键 词： | Sobolev空间 Legendre多项式 正交性 逐点逼近 |
A note about pointwise approximation by algebraic polynomials |
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| DU Yingfang.A note about pointwise approximation by algebraic polynomials[J].Journal of Tianjin Normal University(Natural Science Edition),2014(3):21-23. |
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| Authors: | DU Yingfang |
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| Institution: | DU Yingfang (College of Life Science, Tianjin Normal University, Tianjin 300387, China) |
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| Abstract: | The pointwise approximation problem of continuous functions by algebraic polynomials is considered. For the functions in the Sobolev spaces, two pointwise approximation results are given by using the orthogonality of Legendre polynomials. |
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| Keywords: | Sobolev spaces Legendre polynomials orthogonality pointwise approximation |
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