Email this article On Approximation Characteristics of Some Classes of Functions of Small Smoothness
- Authors: Radomskii A.O.1
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Affiliations:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- Issue: Vol 59, No 3 (2018)
- Pages: 486-493
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171879
- DOI: https://doi.org/10.1134/S0037446618030114
- ID: 171879
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Abstract
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.
About the authors
A. O. Radomskii
Steklov Mathematical Institute of the Russian Academy of Sciences
Author for correspondence.
Email: artrad@list.ru
Russian Federation, Moscow
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