| Lagrange插值于Wiener空间下的平均误差 |
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| 引用本文： | 张政,崔然,许贵桥.Lagrange插值于Wiener空间下的平均误差[J].天津师范大学学报(自然科学版),2012,32(1):17-21. |
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| 作者姓名： | 张政 崔然 许贵桥 |
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| 作者单位： | 1. 天津师范大学数学科学学院,天津,300387
2. 武警后勤学院基础部,天津,300162 |
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| 摘 要： | 在加权Lp范数逼近意义下讨论基于第二类Chebyshev多项式零点的Lagrange插值序列在Wiener空间下的少平均误差，得到了相应量的值或强渐近阶．
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| 关 键 词： | Chebyshev多项式 Lagrange插值 加权Lp范数 Wiener空间 |
Average errors for Lagrange interpolation on Wiener space |
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| ZHANG Zheng
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CUI Ran
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XU Gui-qiao.Average errors for Lagrange interpolation on Wiener space[J].Journal of Tianjin Normal University(Natural Science Edition),2012,32(1):17-21. |
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| Authors: | ZHANG Zheng CUI Ran XU Gui-qiao |
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| Institution: | 1.College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China; 2.Department of Basic Courses,Logistics University of CAPF,Tianjin 300162,China |
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| Abstract: | For the weighted approximation in Lp-norm,the p-average errors of Lagrange interpolation sequence based on the extended Chebyshev nodes of the second kind on the Wiener space are discussed.The strongly asymptotic orders and the values in some special cases are determined. |
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| Keywords: | Chebyshev polynomials Lagrange interpolation weighted Lp-norm Wiener space |
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