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Best monotone approximation in \(L_{\infty}[0,1]\)

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Publication:797069
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DOI10.1016/0021-9045(84)90053-4zbMath0545.41022OpenAlexW2046049166MaRDI QIDQ797069

David A. Legg, Douglas W. Townsend

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9045(84)90053-4


zbMATH Keywords

Polya algorithmbest best \(L_{\infty}\)-approximant


Mathematics Subject Classification ID

Approximation by other special function classes (41A30)


Related Items (6)

Shape preserving approximations by polynomials and splines ⋮ Weighted \(L_{\infty}\) isotonic regression ⋮ A strict best approximant by non-decreasing functions ⋮ Strict \(L_{\infty }\) isotonic regression ⋮ Isotonic regression via partitioning ⋮ Isotonic regression for multiple independent variables



Cites Work

  • The Polya algorithm in \(L_ \infty\) approximation
  • On projections and monotony in \(L_p\)-spaces


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