Polynomials of the best uniform approximation to sgn(x) on two intervals

Details Polynomials of the best uniform approximation to sgn(x) on two intervals Polynomials of the best uniform approximation to sgn(x) on two intervals

2010-08-23

arxiv.org/abs/1008.3765v1

J. d'Analyse math., 114 (2011) 285-315

Mathematics

Complex Variables

32 pages, 13 figures

Scientific paper

We describe polynomials of the best uniform approximation to sgn(x) on the
union of two intervals in terms of special conformal mappings. This permits us
to find the exact asymptotic behavior of the error of this approximation.

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