@article{Romanyuk_2015, title={Estimation of the Entropy Numbers and Kolmogorov Widths for the Nikol’skii–Besov Classes of Periodic Functions of Many Variables}, volume={67}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2088}, abstractNote={We establish order estimates for the entropy numbers of the Nikol’skii–Besov classes $B_{p,θ}^r$ of periodic functions of many variables in the space $L_q$ with certain relations between the parameters $p$ and $q$. By using the obtained lower estimates of the entropy numbers, we establish the exact-order estimates for the Kolmogorov widths of the same classes of functions in the space $L_1$.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Romanyuk, A. S.}, year={2015}, month={Nov.}, pages={1540-1556} }