Email this article Order Estimates of Approximation Characteristics of Functions From the Anisotropic Nikol'skii–Besov Classes
- Authors: Yanchenko S.Y.1
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Affiliations:
- Institute of Mathematics of the NASU
- Issue: Vol 234, No 1 (2018)
- Pages: 98-105
- Section: 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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Abstract
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).
About the authors
Sergii Ya. Yanchenko
Institute of Mathematics of the NASU
Author for correspondence.
Email: Yan.Sergiy@gmail.com
Ukraine, Kyiv
