Best approximation by integer-valued functions

DOI10.1016/j.aml.2004.02.011zbMath1076.41016OpenAlexW2002532547MaRDI QIDQ2484641

Vasant A. Ubhaya

Publication date: 1 August 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.02.011

zbMATH Keywords

best approximationLipschitz operatorinteger-valud functions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

An \(O(n)\) algorithm for weighted least squares regression by integer quasi-convex and unimodal or umbrella functions

Cites Work

• Lipschitzian selections in approximation from nonconvex sets of bounded functions
• An algorithm for discrete approximation by quasi-convex functions on \(R^m\)
• A survey of metric selections
• Least-Squares Fitting by Monotonic Functions Having Integer Values
• Integer Isotone Optimization
• Another Proof that Convex Functions are Locally Lipschitz
• Applications of the Hahn-Banach Theorem in Approximation Theory

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