On Approximation Characteristics of Some Classes of Functions of Small Smoothness
- 作者: Radomskii A.O.1
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隶属关系:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- 期: 卷 59, 编号 3 (2018)
- 页面: 486-493
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171879
- DOI: https://doi.org/10.1134/S0037446618030114
- ID: 171879
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详细
We find the exact order of the entropy numbers and the Kolmogorov widths of a class of functions defined by a condition on the uniform norm of blocks of the Fourier series taken over a lacunar sequence of indices. This result generalizes a result by B. S. Kashin and V. N. Temlyakov.
作者简介
A. Radomskii
Steklov Mathematical Institute of the Russian Academy of Sciences
编辑信件的主要联系方式.
Email: artrad@list.ru
俄罗斯联邦, Moscow
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