Uniqueness of periodic best L1-approximations

In this paper we give a characterization of the finite-dimensional subspaces of periodic, real-valued and continuous functions which admit uniqueness of best L 1-approximations. Our investigations are based on the well-known Property A which characterizes a finite-dimensional subspace of continuous...

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Bibliographic Details
Published in:Journal of approximation theory 2003-07, Vol.123 (1), p.89-109
Main Author: Sommer, Manfred
Format: Article
Language:English
Subjects:
Periodic functions
Property A
Spline functions
Uniqueness of best L1-approximations
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Online Access:Get full text
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Summary:In this paper we give a characterization of the finite-dimensional subspaces of periodic, real-valued and continuous functions which admit uniqueness of best L 1-approximations. Our investigations are based on the well-known Property A which characterizes a finite-dimensional subspace of continuous functions to be a unicity subspace with respect to a class of weighted L 1-norms.
ISSN:0021-9045
1096-0430
DOI:10.1016/S0021-9045(03)00066-2