| 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： | 胡增周.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(4):1-5. |
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| 作者姓名： | 胡增周 |
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| 作者单位： | 河北省城乡建设学校,石家庄,050031 |
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| 摘 要： | 在加权L2-范数下,讨论了基于第二类Chebyshev多项式零点的Lagrange插值多项式列在一重积分Wiener空间下的平均误差,得到了相应量的弱渐近阶.
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| 关 键 词： | 平均误差 Chebyshev多项式 Lagrange插值 L2-范数 一重积分Wiener空间 |
Average errors of Lagrange interpolation on 1-fold integrated Wiener space |
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| HU Zeng-zhou.Average errors of Lagrange interpolation on 1-fold integrated Wiener space[J].Journal of Tianjin Normal University(Natural Science Edition),2012,32(4):1-5. |
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| Authors: | HU Zeng-zhou |
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| Institution: | HU Zeng-zhou (Hebei Urban and Countryside Construction School, Shijiazhuang 050031, China) |
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| Abstract: | In the L2-norm, the average errors of Lagrange interpolation sequence based on the Chebyshev nodes of the second kind on the 1-fold integrated Wiener space are discussed.The weakly asymptotic order is determined. |
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| Keywords: | average errors Chebyshev polynomials Lagrange interpolation L 2 -norm 1-fold integrated Wiener space |
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