Uniform Lipschitz continuity of best \(l_p\)-approximations by polyhedral sets

DOI10.1006/jmaa.1998.6120zbMath0915.41019OpenAlexW1492318323MaRDI QIDQ1276375

Wu Li, Martina Finzel

Publication date: 5 July 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6120

zbMATH Keywords

Lipschitz continuitymetric projectionuniformly Lipschitz continuousnatural best approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Cites Work

• The convergence of the best discrete linear \(L_ p\) approximation as p\(\to 1\)
• The Polya algorithm on cylindrical sets
• Natural choice of \(L_ 1-\)approximants
• Continuity of metric projection, Pólya algorithm, strict best approximation, and tubularity of convex sets
• Linear approximation in \(l_ n^ \infty\)
• Hoffman's error bounds and uniform Lipschitz continuity of best \(l_ p\)-approximations
• Smoothness of approximation
• Tchebycheff approximation in a compact metric space
• Approximations in $L^p $ and Chebyshev Approximations
• Convex Analysis

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