Probabilistic linear(N,δ)-widths and p-average linear N-widths of Sobolev space W2τ(T),equipped with a Gaussian probability measure μ,are studied in the metric of Sq(T)(1 < q < oo),and determined the asymptotic equalities:and where 0l,and Sq(T) is a subspace of L1(T),in which the Fourier series is absolutely convergent in lq sense.