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On best restricted range approximation in continuous complex-valued function spaces

โœ Scribed by Chong Li; K.F. Ng

Book ID
108158986
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
327 KB
Volume
136
Category
Article
ISSN
0021-9045

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๐Ÿ“œ SIMILAR VOLUMES

On best uniform restricted range approxi
On best uniform restricted range approximation in complex-valued continuous function spaces
โœ Chong Li ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 173 KB

We investigate the problem of best restricted range approximation of complex-valued continuous functions for a very general system of restrictions. Our results, including the characterizations, uniqueness and strong uniqueness, extend all recent results due to Smirnovs.

Error estimates and Lipschitz constants
Error estimates and Lipschitz constants for best approximation in continuous function spaces
โœ M. Bartelt; W. Li ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 771 KB

We use a structural characterization of the metric projection PG(f), from the continuous function space to its one-dimensional subspace G, to derive a lower bound of the Hausdorff strong unicity constant (or weak sharp minimum constant) for PG and then show this lower bound can be attained. Then the