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On Characterization of Best Approximation with Certain Constraints

โœ Scribed by Shu-Sheng Xu

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
286 KB
Volume
92
Category
Article
ISSN
0021-9045

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๐Ÿ“œ SIMILAR VOLUMES

A Characterization of Best Simultaneous
A Characterization of Best Simultaneous Approximations
โœ G.A. Watson ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 165 KB

The problem of approximating a finite number of functions simultaneously is considered. For a general class of norms, a characterization of best approximations is given. The result generalizes recent work concerned specifically with the Chebyshev norm. 1993 Academic Press, Inc.

On Complex Valued Functions with Strongl
On Complex Valued Functions with Strongly Unique Best Chebyshev Approximation
โœ C. Spagl ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 281 KB

In contrast to the complex case, the best Chebyshev approximation with respect to a finite-dimensional Haar subspace \(V \subset C(Q)\) ( \(Q\) compact) is always strongly unique if all functions are real valued. However, strong uniqueness still holds for complex valued functions \(f\) with a so-cal