Modulus of continuity and Lipschitz approximation

DOI10.1016/j.jmaa.2017.11.029zbMath1380.41012OpenAlexW2775258995MaRDI QIDQ1688833

Yan Jiang, Luofei Liu

Publication date: 11 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.029

zbMATH Keywords

modulus of continuitysubadditivitydoubling metric spaceLipschitz approximationuniformly continuous map

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Rate of convergence, degree of approximation (41A25)

Related Items (1)

Converting uniform homotopies into Lipschitz homotopies via moduli of continuity

Cites Work

• Smoothing of uniformly continuous mappings in \(L_ p\) spaces
• Bilipschitz embeddings of metric spaces into Euclidean spaces
• Locally Lipschitz functions, cofinal completeness, and UC spaces
• Lipschitz-type functions on metric spaces
• Plongements lipschitziens dans ${\bbfR}\sp n$
• Methods of Geometric Analysis in Extension and Trace Problems
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