On Approximation Characteristics of Some Classes of Functions of Small Smoothness
- Авторы: Radomskii A.1
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Учреждения:
- Steklov Mathematical Institute of the Russian Academy of Sciences
- Выпуск: Том 59, № 3 (2018)
- Страницы: 486-493
- Раздел: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171879
- DOI: https://doi.org/10.1134/S0037446618030114
- ID: 171879
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Аннотация
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.
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Об авторах
A. Radomskii
Steklov Mathematical Institute of the Russian Academy of Sciences
Автор, ответственный за переписку.
Email: artrad@list.ru
Россия, Moscow