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Estimates of Alexandrov’s $ n $ -Width of the Compact Set of $ C^{\infty} $ -Smooth Functions on a Finite Segment
Siberian Mathematical Journal ( IF 0.5 ) Pub Date : 2024-02-07 , DOI: 10.1134/s0037446624010014
V. N. Belykh

We obtain two-sided estimates for Alexandrov’s \( n \)-width of the compact set of infinitely smooth functions boundedly embedded into the space of continuous functions on a finite segment.



中文翻译:

Alexandrov 的估计 $ n $ -$ C^{\infty} $ - 有限段上的平滑函数的紧集宽度

我们获得了有界嵌入到有限段上的连续函数空间中的无限平滑函数的紧凑集的Alexandrov's \( n \)宽度的两侧估计 。

更新日期:2024-02-08
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