Апроксимативні характеристики класів функцій Нікольського – Бєсова $S_{1, θ}^r B(\mathbb{R}^d)$
Abstract
UDC 517.51 We establish the exact-order estimates for the approximation of the classes $S^{\boldsymbol{r}}_{1,\theta}B \left(\mathbb{R}^d\right)$ by entire functions of exponential type with supports of their Fourier transforms lying in a step hyperbolic cross. The error of approximation is estimated in the metric of the Lebesgue space $L_q\left(\mathbb{R}^d\right),\; 1 < q \leq \infty.$
Fields of Study & Subjects
Approximation Theory and Sequence Spaces
Mathematical Approximation and Integration
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Ukrains’kyi Matematychnyi Zhurnal
- Volume
- 71
- Issue
- 10
- Pages
- 1405–1421
- Publication date
- 9 February 2026
- Language
- UK