# External estimation of a segment function by a polynomial strip

Article

- First Online:

- Received:

DOI: 10.1134/S0965542509070057

- Cite this article as:
- Vygodchikova, I.Y., Dudov, S.I. & Sorin, E.V. Comput. Math. and Math. Phys. (2009) 49: 1119. doi:10.1134/S0965542509070057

## 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.

### Key words

estimation of a segment functionpolynomial stripsubdifferentialalternancesnake problem## Copyright information

© Pleiades Publishing, Ltd. 2009