Аннотация
The article establishes the exact order of the optimal recovery error for functions in the anisotropic Sobolev class $$W_2^{\mathbf r}$$ for the case in which the values of linear functionals defined on the class $$W_2^{\mathbf r}$$ are used as numerical information about the function. The limiting error of the computing unit that realizes the exact order of recovery is found.