Approximation of functions of many variables from the generalization Nikol'skii-Besov type classes in the uniform and integral metrics

M. I. Gromyak, O. Ya. Radchenko, S. Ya. Yanchenko

We obtain the exact order estimates of the approximation of the functions of many variables from the generalized Nikol'skii-Besov classes $B_{p,\theta }^{\Omega }({\mathbb{R}}^d)$ by sums of de la…