Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative

K. V. Pozharska, A. S. Romanyuk, S. Ya. Yanchenko

We established exact in order estimates an approximation of the Sobolev classes $W_{p,\mathbf{\alpha }}^{\mathbf{r}}({\mathbb{T}}^d)$ of periodic functions of many variables with a b…