@article{Radchenko_Yanchenko_2019, title={Approximative characteristics of the Nikol’skii – Besov classes of functions $S_{1, θ}^r B(\mathbb{R}^d)$}, volume={71}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1523}, abstractNote={UDC 517.51 <br&gt; 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 $L_q\left(\mathbb{R}^d\right),\; 1 &lt; q \leq \infty.$}, number={10}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Radchenko, O. Ya. and Yanchenko, S. Ya.}, year={2019}, month={Oct.}, pages={1405-1421} }