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Part of the book series: Nonconvex Optimization and Its Applications ((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.

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© 2001 Springer Science+Business Media Dordrecht

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Jongen, H.T., Jonker, P., Twilt, F. (2001). Chebyshev approximation, focal points. In: Nonlinear Optimization in Finite Dimensions. Nonconvex Optimization and Its Applications, vol 47. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0017-9_4

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  • DOI: https://doi.org/10.1007/978-1-4615-0017-9_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4887-0

  • Online ISBN: 978-1-4615-0017-9

  • eBook Packages: Springer Book Archive

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