TY - JOUR AU - A. S. Romanyuk AU - V. S. Romanyuk PY - 2016/09/25 Y2 - 2024/03/29 TI - Estimates for the best bilinear approximations of the classes $B^r_{p,\theta}$ and singular numbers of integral operators JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 68 IS - 9 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/1917 AB - We obtain the exact-order estimates for the best bilinear approximations of the Nikol‘ski–Besov classes $B^r_{p,\theta}$ of periodicfunctions of several variables. We also find the orders for singular numbers of the integral operators with kernels from theclasses $B^r_{p,\theta}$. ER -