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

Abstract

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

9 pages, in Ukrainian