@article{Romanyuk_Romanyuk_2010, title={Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables}, volume={62}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2886}, abstractNote={We obtain exact order estimates for the best $M$-term trigonometric approximations of the Besov classes $B_{∞,θ}^r$ in the space $L_q$. We also determine the exact orders of the best bilinear approximations of the classes of functions of $2d$ variables generated by functions of d variables from the classes $B_{∞,θ}^r$ with the use of translation of arguments.}, number={4}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Romanyuk, A. S. and Romanyuk, V. S.}, year={2010}, month={Apr.}, pages={536–551} }