  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 $L_{\infty}(\mathbb{R}^d)$.
