Simultaneous monotone approximation in low-order mean

DOI10.1017/S000497270003032XzbMath0751.41016OpenAlexW2049912895MaRDI QIDQ3987902

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Publication date: 28 June 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270003032x

zbMATH Keywords

\(L_ p\)-approximationbest simultaneous approximationsChebyshev centrediscrete simultaneous approximationssimultaneous monotone

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Convergence and divergence of series and sequences of functions (40A30) Simultaneous approximation (41A28) Approximation by other special function classes (41A30)

Related Items (1)

Best Simultaneous Monotone Approximants in Orlicz Spaces

Cites Work

• Unnamed Item
• Sets of best \(L_ 1\) approximants
• Best monotone approximations in \(L_ 1[0,1\)]
• The natural best \(L^ 1\)-approximation by nondecreasing functions
• Natural choice of \(L_ 1-\)approximants
• On projections and monotony in \(L_p\)-spaces
• Best \(L_ 1\)-approximation of bounded, approximately continuous functions on [0,1 by nondecreasing functions]
• Best Monotone Approximation in L 1 [ 0, 1 ]
• On Best Simultaneous Approximation in Normed Linear Spaces

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