Approximation of the Nikol'skii-Besov functional classes by entire functions of a special form

We establish the exact-order estimates for the approximation of functions from the Nikol'skii-Besov classes $S^{\boldsymbol{r}}_{1,\theta}B(\mathbb{R}^d)$, $d\geq 1$, by entire functions of exponential type with some restrictions for their spectrum. The error of the approximation is estimated i...

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Bibliographic Details
Main Author: S.Ya. Yanchenko
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2020-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/3895