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 $B^{\boldsymbol{r}}_{p,\theta}(\mathbb{R}^d)$ from their sections of the Fourier integral. The error of the approximation is estimated in the metric of Lebesgue space $L_{\infty}(\mathbb{R}^d)$.