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Uniqueness of an algebraic polynomial of best approximation in the L1metric

โœ Scribed by V. N. Poroshenko


Publisher
SP MAIK Nauka/Interperiodica
Year
1981
Tongue
English
Weight
437 KB
Volume
29
Category
Article
ISSN
0001-4346

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Uniqueness of periodic best L1-approxima
โœ Manfred Sommer ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 245 KB

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