In the space $L_2$, we determine the exact values of some $n$-widths for the classes of functions such that the generalized
moduli of continuity of their $(\psi, \beta)$ - derivatives or their averages with weight do not exceed the values of the majorants $\Phi$
satisfying certain conditions. Specific examples of realization of the obtained results are also analyzed.
Citation Example:Vakarchuk S. B. Jackson-type inequalities with generalized modulus of continuity and exact values of the $n$-widths of the classes of $(ψ,β)$-differentiable functions in $L_2$. II // Ukr. Mat. Zh. - 2016. - 68, № 8. - pp. 1021-1036.