Relative widths of smooth functions determined by fractional order derivatives
نویسندگان
چکیده
منابع مشابه
Relative widths of smooth functions determined by fractional order derivatives
For two subsetsW and V of a normed space X. The relative Kolmogorov n-width ofW relative to V in X is defined by Kn(W,V )X := inf Ln sup f∈W inf g∈V∩Ln ‖f − g‖X , where the infimum is taken over all n-dimensional subspaces Ln of X. For ∈ R+, defineW p (1 p ∞) to be the collection of 2 -periodic and continuous functions f representable as a convolution f (t)= c + (B ∗ g)(t), where g ∈ Lp(T ), T ...
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ژورنال
عنوان ژورنال: Journal of Complexity
سال: 2008
ISSN: 0885-064X
DOI: 10.1016/j.jco.2006.12.001