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Chebyshev approximation, focal points

  • Hubertus Th. Jongen
  • Peter Jonker
  • Frank Twilt
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 47)

Abstract

A Chebyshev approximation problem is (usually) a problem of uniform approximation -with respect to a compact set M — of a continuous function f by means of a family of continuous functions. Under certain assumptions such a problem may be reduced locally to the minimization of a function of maximum type, the maximum being taken over a finite set of functions. This will be the subject of the present section.

Keywords

Local Minimum Focal Point Global Minimum Homotopy Equivalent Maximum Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Hubertus Th. Jongen
    • 1
  • Peter Jonker
    • 2
  • Frank Twilt
    • 2
  1. 1.Department of MathematicsAachen University of TechnologyAachenGermany
  2. 2.Department of Mathematical SciencesUniversity of TwenteEnschedeThe Netherlands

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