External estimation of a segment function by a polynomial strip



The problem is considered of constructing a least-width strip with a polynomial axis that contains the graph of a given continuous segment function. Convex analysis methods are used to obtain a criterion for solving the problem in a form comparable to the Chebyshev alternance. Sufficient conditions for the uniqueness of a solution are given, including those taking into account the differential properties of the segment function to be estimated.

Key words

estimation of a segment function polynomial strip subdifferential alternance snake problem 


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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  • I. Yu. Vygodchikova
    • 1
  • S. I. Dudov
    • 1
  • E. V. Sorin
    • 1
  1. 1.Saratov State UniversitySaratovRussia

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