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arXiv · 1709.04650

Order estimates of approximation characteristics of functions from anisotropic Nikol'skii-Besov classes

S. Ya. Yanchenko
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Abstract

We obtained exact order estimates of the deviation of functions from anisotropic Nikol'skii-Besov classes $B^{\boldsymbol{r}}_{p,\theta}(\mathbb{R}^d)$ from their sections of the Fourier integral. The error of the approximation is estimated in the metric of Lebesgue space $L_{\infty}(\mathbb{R}^d)$.

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S. Ya. Yanchenko. 2017-09-14. Order estimates of approximation characteristics of functions from anisotropic Nikol'skii-Besov classes. https://arxiv.org/abs/1709.04650

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