External estimation of a segment function by a polynomial strip |
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Authors: | I Yu Vygodchikova S I Dudov E V Sorin |
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Institution: | (1) Saratov State University, ul. Astrakhanskaya 42, Saratov, 410012, Russia |
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Abstract: | 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. |
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Keywords: | estimation of a segment function polynomial strip subdifferential alternance snake problem |
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