Order Estimates of Approximation Characteristics of Functions From the Anisotropic Nikol'skii–Besov Classes

Аннотация

We obtained the exact order estimates of deviations of functions from the anisotropic Nikol’skii–Besov classes \( {B}_{p,\theta}^r\left({\mathrm{\mathbb{R}}}^d\right) \) from their sections of the Fourier integral. The error of the approximation is evaluated in the metric of the Lebesgue space L_∞(ℝ^d).