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Uniform Lipschitz Continuity of Bestlp-Approximations by Polyhedral Sets

✍ Scribed by Martina Finzel; Wu Li


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
70 KB
Volume
228
Category
Article
ISSN
0022-247X

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Hoffman's Error Bounds and Uniform Lipsc
✍ H Berens; M Finzel; W Li; Y Xu 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 272 KB

In a central paper on smoothness of best approximation in 1968 R. Holmes and B. Kripke proved among others that on ‫ޒ‬ n , endowed with the l -norm, 1p -ϱ, p the metric projection onto a given linear subspace is Lipschitz continuous where the Lipschitz constant depended on the parameter p. Using Hof