A minimizing property of best monotone approximants on their level surfaces

DOI10.1016/j.jat.2006.10.002zbMath1113.41033OpenAlexW1983044963MaRDI QIDQ885269

Fernando D. Mazzone

Publication date: 8 June 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.10.002

zbMATH Keywords

isotonic regression\(\varphi\)-approximantsisotonic approximationmonotone best approximants

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (1)

Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\)

Cites Work

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• \(L_ \phi\)-approximation by nondecreasing functions on the interval
• A characterization of best \(\varphi\)-approximants with applications to multidimensional isotonic approximation
• Isotonic approximation in \(L_{1}\)
• Best approximants in modular function spaces
• Monotone L 1 -Approximation on the Unit n-Cube

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