@article{Babich_Michaylova_2018, title={Approximation of periodic functions of many variables by
functions of smaller number of variables in Orlicz metric spaces}, volume={70}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1624}, abstractNote={For periodic functions of many variables, the method of their approximation is offered in the Orlicz spaces $L_{\varphi} (T^m)$. In this method, the functions are approximated by the sums of functions of smaller number of variables, each of which is piecewiswe-constant in one of variables for fixed values of the other variables. A Jackson-type inequality is investigated
for these approximations in terms of the mixed module of continuity.}, number={8}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Babich, Yu. A. and Michaylova, T. F.}, year={2018}, month={Aug.}, pages={1143-1148} }