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Best monotone approximations in \(L_ 1[0,1]\)

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Publication:1080102
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DOI10.1016/0021-9045(86)90048-1zbMath0599.41044OpenAlexW2008696186MaRDI QIDQ1080102

Michael Sheard, Aaron D. Meyerowitz, Robert Huotari

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90048-1


zbMATH Keywords

extreme pointbest \(L_ 1\)-approximations


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Spline approximation (41A15)


Related Items (8)

Simultaneous monotone approximation in low-order mean ⋮ The natural best \(L^ 1\)-approximation by nondecreasing functions ⋮ A family of natural bestL1-approximants by nondecreasing functions ⋮ Sets of best \(L_ 1\) approximants ⋮ Best Simultaneous Monotone Approximants in Orlicz Spaces ⋮ Best constant approximants in Lorentz spaces ⋮ The error in discrete \(\Phi\)-approximation ⋮ Isotonic approximation in \(L_{1}\)



Cites Work

  • Natural choice of \(L_ 1-\)approximants
  • Best approximants in L 1 space
  • A Note on End-Sets


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