Best linear approximation methods for functions of Taikov classes in the Hardy spaces H q,ρ , q ≥ 1, 0 < ρ ≤ 1

For the Hardy spaces H _q,ρ , q ≥ 1, 0 < ρ ≤ 1, we develop best linear approximation methods for classes of analytic functions W ^r H _q Φ, r ∈ ?, in the unit disk (studied by L. V. Taikov) whose averaged second-order moduli of continuity of the angular boundary values of the rth derivatives are majorized by a given function ? satisfying certain constraints.