Abstract
The concept of Gel'fand width plays an important role in the theory of information complexity and compressed sensing. In this paper, we study the approximation problems on the generalized Besov classesBΩΡ,θ in the norm of Lq by the Gel'fand methods in the deterministic and the Monte Carlo settings. Applying the Maiorov's discretization technique and some properties of pseudo-s-scale, we determine the asymptotic orders of this problem for some values of parameters p, q, θ.
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