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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...