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| 摘要: |
| 本文研究了Newman型有理算子逼近∣x∣的收敛速度,插值结点组X取调整的第二类Chebyshev结点组.利用上界估计得到确切的逼近阶为O((1)/(n2)).这个结果优于结点组取作第一、二类Chebyshev结点组、等距结点组和正切结点组. |
| 关键词: 调整的第二类Chebyshev结点 有理插值 Newman型有理算子 逼近阶 |
| DOI： |
| 分类号:O174.41 |
| 基金项目: |
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| ON RATIONAL INTERPOLATION TO ∣x∣ AT THE ADJUSTEDCHEBYSHEV NODES OF THE SECOND KIND |
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ZHANG Hui-ming,LI Jian-jun,DUAN Ji-guang
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| Abstract: |
| In this paper, we consider the rate of convergence of Newman-type rational operator approximation to ∣x∣, it is based on the adjusted Chebyshev nodes of the second kind. The upper bound estimation are used to obtain the exact order of approximation to be O((1)/(n2)). The result is better than which of the nodes taking for the Chebyshev nodes of the flrst kind, the Chebyshev nodes of the second kind, equidistant nodes and the tangent nodes. |
| Key words: the adjusted Chebyshev nodes of the second kind rational interpolation Newman-type rational operators order of approximation |
