On relative widths of classes of differentiable functions. III

A lower estimate is established for the minimum value of the factor $M$ for which the Kolmogorov width $d_n(W_C^r,C)$ and the relative width $K_n(W_C^r,MW_C^j,C)$ of the class of functions $W_C^r$ with respect to the class $MW^j_C$ coincide for $j>r$. The order of this estimate with respect to $n$ is the same as in the upper estimate obtained earlier.