✦ LIBER ✦

On Best Simultaneous Approximation

✍ Scribed by Chong Li; G.A Watson

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 258 KB
Volume: 91
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1996.3102

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✦ Synopsis

The problem is considered of best approximation of finite number of functions simultaneously. For a very general class of norms, characterization results are derived. The main part of the paper is concerned with proving uniqueness and strong uniqueness theorems. For a particular subclass, which includes the important special case of the Chebyshev norm, a characterization is given of a uniqueness element.

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