NDLI: L 1-Approximation and Finding Solutions with Small Support

Content Provider	Springer Nature Link
Author	Kroó, A. Benyamini, Y. Pinkus, A.
Copyright Year	2012
Abstract	In this paper, we study an interesting property of L 1-approximation. For many subspaces M, there exist α ∗(M)>0 with the following property: if f vanishes off a set of measure at most α ∗(M), then the zero function is a best L 1-approximant to f from M. We explain this phenomenon, provide estimates for α ∗(M) in many cases, and present some open questions.
Ending Page	431
Page Count	33
Starting Page	399
File Format	PDF
ISSN	01764276
e-ISSN	14320940
Journal	Constructive Approximation
Issue Number	3
Volume Number	36
Language	English
Publisher	Springer-Verlag
Publisher Date	2012-01-12
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Inequalities in approximation (Bernstein, Jackson, Nikol'skiÄ-type inequalities) Best approximation, Chebyshev systems Numerical Analysis Analysis Nikolskii-type inequalities Sparsest solutions Best approximation Minimal support L 1-approximation
Content Type	Text
Resource Type	Article
Subject	Analysis Computational Mathematics

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L 1-Approximation and Finding Solutions with Small Support