The cross-sections of some sets of differentiable functions

Evaluated Babenko and Kolmogorov widths of functional sets $Q^u_{r,\gamma}$ and $\bar{Q}^u_{r,\gamma}$, where $\Omega[-1,1]^l, l=1,2,...$, $r$ and $u$ are natural numbers, $\gamma$ is a real nonnegative number. Constructed local splines which are the optimal in order methods for approximation of functional classes $Q^u_{r,\gamma}$ and $\bar{Q}^u_{r,\gamma}$.