Order Estimates of Approximation Characteristics of Functions From the Anisotropic Nikol'skii–Besov Classes
- Autores: Yanchenko S.1
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Afiliações:
- Institute of Mathematics of the NASU
- Edição: Volume 234, Nº 1 (2018)
- Páginas: 98-105
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241766
- DOI: https://doi.org/10.1007/s10958-018-3984-9
- ID: 241766
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Resumo
We obtained the exact order estimates of deviations of functions from the anisotropic Nikol’skii–Besov classes \( {B}_{p,\theta}^r\left({\mathrm{\mathbb{R}}}^d\right) \) from their sections of the Fourier integral. The error of the approximation is evaluated in the metric of the Lebesgue space L∞(ℝd).
Sobre autores
Sergii Yanchenko
Institute of Mathematics of the NASU
Autor responsável pela correspondência
Email: Yan.Sergiy@gmail.com
Ucrânia, Kyiv