Abstract
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.
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Acknowledgment
The author is particularly grateful to the referee for the useful remarks and suggestions that helped to improve the final version of this article.
Funding
The research was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0008).
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Translated from Sibirskii Matematicheskii Zhurnal, 2024, Vol. 65, No. 1, pp. 3–14. https://doi.org/10.33048/smzh.2024.65.101
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Belykh, V.N. Estimates of Alexandrov’s \( n \)-Width of the Compact Set of \( C^{\infty} \)-Smooth Functions on a Finite Segment. Sib Math J 65, 1–10 (2024). https://doi.org/10.1134/S0037446624010014
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DOI: https://doi.org/10.1134/S0037446624010014