Kolmogorov widths between the anisotropic space and the space of functions with mixed smoothness Original Research Article

The Kolmogorov width of the classes of functions with mixed smoothness in the anisotropic space and that of the anisotropic class in the space of functions with mixed smoothness are considered. The asymptotic order of the widths and weakly asymptotic optimal approximation subspaces which realize the order of widths are also given.