| 各向异性Besov-Wiener类由多重样本的最优恢复 |
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| 引用本文： | 李跃武.各向异性Besov-Wiener类由多重样本的最优恢复[J].应用数学,2007,20(4):711-716. |
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| 作者姓名： | 李跃武 |
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| 作者单位： | 呼伦贝尔学院数学系,内蒙古,呼伦贝尔,021008;北京师范大学数学科学学院,北京,100875 |
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| 摘 要： | 研究各向异性Besov-Wiener类SrpqθB（R^n）在Lq（R^n）,（1＜q≤P＜∞）中由其函数和它们的导数样本的最优恢复问题,确定了误差界的精确阶.
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| 关 键 词： | 网格宽度 最优恢复 本性误差 Besov-Wiener类 多重样本 |
| 文章编号： | 1001-9847（2007）04-0711-06 |
| 修稿时间： | 2007-05-28 |
Optimal Recovery of Anisotropic Multivariate Besov-Wiener Classes by Multiple Samples |
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| LI Yue-wu.Optimal Recovery of Anisotropic Multivariate Besov-Wiener Classes by Multiple Samples[J].Mathematica Applicata,2007,20(4):711-716. |
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| Authors: | LI Yue-wu |
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| Institution: | Department of Mathematics,Hulunbeier University,Hulunbeier 021008,China;School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China |
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| Abstract: | In this paper,we study the problem of optimal recovery of some anisotropic Besov-Wiener classes SpqθB(Rn)in Lq(Rn),(1＜q≤p＜∞)using the functions and their partial derivatives samples.The exact order of error bound is determined for corresponding quantities. |
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| Keywords: | Net width Optimal recovery Intrinsic error Besov-Wiener class Mutiplesamples |
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