Widths of Classes of Periodic Differentiable Functions in the Space $L_{2}[0,2\pi]$

We obtain exact values of different $n$-widths for classes of differentiable periodic functions in the space $L_{2}[0,2\pi]$ satisfying the constraint
$$ \biggl(\int_{0}^{h}\omega_{m}^{p}(f^{(r)};t)\,dt\biggr)^{1/p}\le\Phi(h), $$
where $0<h<\infty$, $1/r<p\le2$, $r\in\mathbb{N}$, and $\omega_{m}(f^{(r)};t)$ is the modulus of continuity of $m$th order of the derivative $f^{(r)}(x)\in L_{2}[0,2\pi]$.