| Lagrange插值在一重积分Wiener空间下的平均误差 |
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| 引用本文： | 宁靖蕊,许贵桥.Lagrange插值在一重积分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):22-25. |
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| 作者姓名： | 宁靖蕊 许贵桥 |
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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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| 摘 要： | 在加权L2范数逼近意义下确定了基于扩充的第一类Chebyshev结点组的Lagrange插值多项式列在一重积分Wiener空间下平均误差的强渐近阶．
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| 关 键 词： | Lagrange插值 加权L2范数 一重积分Wiener空间 平均误差 Chebyshev结点组 |
Average errors for Lagrange interpolation on 1-fold integrated Wiener space |
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| NING Jing-rui
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XU Gui-qiao.Average errors for Lagrange interpolation on 1-fold integrated Wiener space[J].Journal of Tianjin Normal University(Natural Science Edition),2012,32(1):22-25. |
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| Authors: | NING Jing-rui XU Gui-qiao |
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| Institution: | College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China |
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| Abstract: | For the weighted approximation in L2-norm,the strongly asymptotic order for the average errors of Lagrange interpolation sequence based on the extended Chebyshev nodes of the first kind on the 1-fold integrated Wiener space is determined. |
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| Keywords: | Lagrange interpolation weighted L2-norm 1-fold integrated Wiener space average errors Chebyshev nodes |
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