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

摘要

We obtained the exact order estimates of deviations of functions from the anisotropic Nikol’skii–Besov classes B p , θ r ℝ d $$ {B}_{p,heta}^rleft({mathrm{mathbb{R}}}^dight) $$ from their sections of the Fourier integral. The error of the approximation is evaluated in the metric of the Lebesgue space L ~( ∞ )(ℝ_( d )).