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$N$-Widths and Average Widths of Besov Classes in the Sobolev Spaces
Besov class $n$-width Sobolev space Average width
2007/12/12
In this paper, we consider the $n$-widths and average widths of Besov classes in the usual Sobolev spaces. The weak asymptotic results concerning the Kolmogorov $n$-widths, the linear $n$-widths, the ...
The Average Widths and Non-linear Widths of the Classes of Multivariate Functions with Bounded Moduli of Smoothness
multivariate function classes average width non-linear width
2007/12/11
The classes of the multivariate functions with bounded moduli on R~d and T~d are given and their average σ-widths and non-linear n-widths are discussed. The weak asymptotic behaviors are established f...