| 基于第四类Chebyshev多项式零点的Lagrange插值多项式逼近 |
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| 引用本文： | 张艳艳,闫超.基于第四类Chebyshev多项式零点的Lagrange插值多项式逼近[J].山东大学学报(理学版),2017,52(8):10-16. |
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| 作者姓名： | 张艳艳 闫超 |
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| 作者单位： | 天津师范大学数学科学学院, 天津 300387 |
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| 基金项目： | 国家自然科学基金青年科学基金项目(11401436) |
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| 摘 要： | 给出了最大框架下基于第四类Chebyshev结点组的Lagrange插值多项式在最大范数下逼近一类解析函数时的精确误差。又针对Lp(p>1)范数,给出了插值函数对该类解析函数类的逼近误差的强渐近阶。
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| 关 键 词： | Lagrange插值 最大框架 Chebyshev多项式 函数逼近 |
| 收稿时间： | 2016-07-04 |
Approximation of lagrange interpolation polynomials based on the fourth Chebyshev nodes |
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| ZHANG Yan-yan,YAN Chao.Approximation of lagrange interpolation polynomials based on the fourth Chebyshev nodes[J].Journal of Shandong University,2017,52(8):10-16. |
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| Authors: | ZHANG Yan-yan YAN Chao |
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| Institution: | School of Mathematical Science, Tianjin Normal University, Tianjin 300387, China |
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| Abstract: | This paper first provides the exact approximation errors for an analytic function class under the maximum norm based on the Lagrange interpolation polynomials with the fourth Chebyshev nodes in the worst setting. As for the norm of Lp(p>1), the corresponding strong asymptotic order for that kind of analytic function class is obtained. |
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| Keywords: | Lagrange interpolation worst case setting function approximation Chebyshev polynomial |
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