Lipschitz continuity of best approximations and Chebyshev centers
β Scribed by Chong Li; Xinghua Wang
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 265 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1001-6538
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π SIMILAR VOLUMES
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
In a central paper on smoothness of best approximation in 1968 R. Holmes and B. Kripke proved among others that on β«ήβ¬ n , endowed with the l -norm, 1p -Ο±, p the metric projection onto a given linear subspace is Lipschitz continuous where the Lipschitz constant depended on the parameter p. Using Hof