| 关于多元函数最佳逼近精确阶的Timan问题 |
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| 引用本文： | 康淑瑰,刘永平. 关于多元函数最佳逼近精确阶的Timan问题[J]. 数学研究及应用, 2001, 21(2): 177-184 |
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| 作者姓名： | 康淑瑰 刘永平 |
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| 作者单位： | 北京师范大学数学系, |
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| 基金项目： | Supported by the National Natrual Science Foundation of China (No.19671012)and by the Doctoral Programme Foundation of Institu |
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| 摘 要： | 关于找一个充分必要条件使Ωk(f，1/σ)Lp(Rn)=O(Aσ(f)Lp(Rn))，σ→∞,成立的Timan问题被解决.这个条件是Qk(f，δ)Lp(Rn)=O(Ωk+1(f，δ)Lp(Rn))，δ→0.
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| 关 键 词： | modulus of continuity best appraximation entire function of exponential sphesrical type σ. |
| 文章编号： | 1000-341X(2001)02-0177-08 |
| 收稿时间： | 1997-10-23 |
| 修稿时间： | 1997-10-23 |
The Problem of Timan on the Precise Order of the Best Approximations of Multivariate Functions |
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| KANG Shu-gui and LIU Yong-ping. The Problem of Timan on the Precise Order of the Best Approximations of Multivariate Functions[J]. Journal of Mathematical Research with Applications, 2001, 21(2): 177-184 |
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| Authors: | KANG Shu-gui and LIU Yong-ping |
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| Affiliation: | Dept. of Math., Beijing Normal University, 100875, China;Dept. of Math., Beijing Normal University, 100875, China |
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| Abstract: | The problem of Timan on finding a necessary and sufficient condition for is solved. The condition is that |
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