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Monotone approximation in several variables

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Publication:1072041
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DOI10.1016/0021-9045(86)90030-4zbMath0587.41026OpenAlexW2009002026MaRDI QIDQ1072041

Robert Huotari, David A. Legg

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)90030-4


zbMATH Keywords

best \(L_ 1\)-approximation


Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)


Related Items (4)

Best \(L_ 1\) approximation by convex functions ⋮ The natural best \(L^ 1\)-approximation by nondecreasing functions ⋮ Construction of the best monotone approximation on \(L_ p[0,1\)] ⋮ Strong consistency of multiple isotonic median estimation



Cites Work

  • Best \(L_ 1\)-approximation of quasi continuous functions on [0,1 by nondecreasing functions]
  • Isotonic approximation in \(L_ s\).
  • Natural choice of \(L_ 1-\)approximants
  • Best \(L_ 1\)-approximation of bounded, approximately continuous functions on [0,1 by nondecreasing functions]
  • Weak-Star Convergence in the Dual of The Continuous Functions on the n-cube, 1 n ∞
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