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

摘要

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