Abstract
In this paper, we studied the Kolmogorov and the linear widths on the generalized Besov classes \(B^\Omega_{p,\theta}\) in the norm of L q in the Monte Carlo setting. Applying the discretization technique and some properties of pseudo-s-scale, we determined the exact asymptotic orders of the Kolmogorov and the linear widths for certain values of the parameters p, q, θ.
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