Kolmogorov and Linear Widths on Generalized Besov Classes in the Monte Carlo Setting

Liqin Duan,Peixin Ye

doi:10.1007/978-3-642-24999-0_10

Kolmogorov and Linear Widths on Generalized Besov Classes in the Monte Carlo Setting

Liqin Duan, Peixin Ye

https://doi.org/10.1007/978-3-642-24999-0_10

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Publication Date: Jan 1, 2011

Citations: 6

Affiliation: Hangzhou Dianzi University, Nankai University

#Monte Carlo Setting #Linear Widths + Show 5 more

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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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