A measure μ on the unit circle T belongs to Steklov class S if its density w with respect to the Lebesgue measure on T is strictly positive: essinfTw>0. Let μ, μ_{- 1} be measures on the unit circle T with real recurrence coefficients { α_k} , { - α_k} , correspondingly. If μ∈ S and μ_{- 1}∈ S, then partial sums s_k= α₀+ … + α_k satisfy the discrete Muckenhoupt condition supn0(1n-ℓ∑k=ℓn-1e2sk)(1n-ℓ∑k=ℓn-1e-2sk)<∞.