Geodesic
External estimation of a segment function by a polynomial strip
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1175-1183 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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I. Yu. Vygodchikova; S. I. Dudov; E. V. Sorina. External estimation of a segment function by a polynomial strip. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1175-1183. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a4/

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