Diameters of some classes of differentiable periodic functions in the space $L$

In this paper, diameters in the sense of A. N. Kolmogorov are found for the class of $2\pi$-periodic functions $W^{(r)}H_\omega$ in the space $L$, that is, $d_{2n-1}(W^{(r)}H_\omega, L)$, where $\omega(t)$ is an upper-convex regular modulus of continuity ($r,n=1,2,\dots$). An estimate from below is found for diameters in the sense of I. M. Gel'fand, that is, $d^{2n-1}(W^{(r)}H_\omega, L)$