TY - JOUR AU - Yanchenko, S.Ya. PY - 2020/06/12 Y2 - 2024/03/28 TI - Approximation of the Nikol'skii-Besov functional classes by entire functions of a special form: Array JF - Carpathian Mathematical Publications JA - Carpathian Math. Publ. VL - 12 IS - 1 SE - Scientific articles DO - 10.15330/cmp.12.1.148-156 UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3895 SP - 148-156 AB - <p>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 in the metric of the Lebesgue space $L_{\infty}(\mathbb{R}^d)$.</p> ER -