Computation of generalized Chebyshev polynomials by computer. (Russian) Zbl 0892.41017

Matiyasevich, Yu. V.

Vestn. Mosk. Univ., Ser. I 1996, No. 6, 59-61 (1996).

The author proposes the description of a computer program for automatic computation of a generalized Chebyshev polynomial for the tree, i.e. the polynomial \(P\) is such that the equality \(P'(z) = 0\) yields \(P(z) = \pm1\) and the tree \(T\) is a pre-image of the interval \([-1,1]\) on the complex plane.

Reviewer: V.G.Miladzhanov (Andizhan)

MSC:

41A50

Best approximation, Chebyshev systems

Keywords:

generalized Chebyshev polynomials