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Best \(L_ 1\) approximation by convex functions

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Publication:1893532
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DOI10.1007/BF02143929zbMath0823.41025MaRDI QIDQ1893532

Robert Huotari, David K. Gifford

Publication date: 4 July 1995

Published in: Numerical Algorithms (Search for Journal in Brave)


zbMATH Keywords

best approximation by convex functions


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)




Cites Work

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  • The convergence of the best discrete linear \(L_ p\) approximation as p\(\to 1\)
  • Monotone approximation in several variables
  • The Polya algorithm on cylindrical sets
  • Natural choice of \(L_ 1-\)approximants
  • \(L_p\) convergence of generalized convex functions and their uniform convergence
  • Continuity of metric projection, Pólya algorithm, strict best approximation, and tubularity of convex sets
  • Metric projection onto a lattice in \(L_ 1\)
  • The Polya algorithm for convex approximation
  • Best \(L_ 1\)-approximation of bounded, approximately continuous functions on [0,1 by nondecreasing functions]
  • Approximation in the mean by convex functions
  • Best Monotone Approximation in L 1 [ 0, 1 ]
  • Convex Analysis
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