Best \(L_ 1\)-approximation of quasi continuous functions on [0,1] by nondecreasing functions

DOI10.1016/0021-9045(85)90093-0zbMath0583.41024OpenAlexW2037253089MaRDI QIDQ1070146

Robert Huotari

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90093-0

zbMATH Keywords

examplebest \(L_ 1\)-approximation

Mathematics Subject Classification ID

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

Related Items (4)

Consistency of \(L_ p\)-best monotone approximations ⋮ On the monotone simultaneous approximation on [0, 1] ⋮ Best \(L_ 1\)-approximation of bounded, approximately continuous functions on [0,1 by nondecreasing functions] ⋮ Monotone approximation in several variables

Cites Work

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• The Polya algorithm in \(L_ \infty\) approximation
• L//infinity-approximation in probability spaces
• Isotone optimization. I
• Best \(L_ 1\)-approximation of bounded, approximately continuous functions on [0,1 by nondecreasing functions]
• Best L_∞-approximation of measurable, vector-valued functions
• Convergence of L p Approximations as p →∞
• Convergence of Best Best L ∞ -Approximations
• On the 1-1 Sum of Two Borel Sets

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