| 函数的广义α -多项式插值与优化 |
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| 引用本文： | 侯再恩,王海宾.函数的广义α -多项式插值与优化[J].西北轻工业学院学报,2003,21(5):1-4. |
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| 作者姓名： | 侯再恩 王海宾 |
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| 作者单位： | [1]西安交通大学理学院，陕西西安710049 [2]陕西科技大学理学院，陕西咸阳712081 |
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| 摘 要： | 研究了用一种广义α-多项式插值及其优化的问题，给出了在一定条件下这种多项式的存在唯一性及其误差估计，在此基础上证明了最优广义α-插值多项式的存在性，并说明了其数值求法。
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| 关 键 词： | 广义α-多项式 优化 误差估计 函数插值 存在唯一性 |
| 文章编号： | 1000-5811(2003)05-0001-04 |
| 修稿时间： | 2003年3月8日 |
INTERPOLATING WITH GENERALIZED α-POLYNOMIAL AND ITS OPTIMIZING |
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| HOU Zai-en,WANG Hai-bin.INTERPOLATING WITH GENERALIZED α-POLYNOMIAL AND ITS OPTIMIZING[J].Journal of Northwest University of Light Industry,2003,21(5):1-4. |
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| Authors: | HOU Zai-en WANG Hai-bin |
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| Abstract: | The problem of generalize a -polynomial interpolation is studied by using the concept of relative derivative and the Langrange interpolation. The main results are which with the given condition there exists unique interpolation polyunomial, the construction of the interpolation polynomial and the expression of estimation of error of it are given. The method and the numerical example for solving the optimization generalize a -polynomial are listed at the end. |
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| Keywords: | interpolation polynomial estimation of error optimization |
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