On the convergence of Chebyshev--Padé approximations to real-valued algebraic functions

Details On the convergence of Chebyshev--Padé approximations to real-valued algebraic functions On the convergence of Chebyshev--Padé approximations to real-valued algebraic functions

2010-09-24

arxiv.org/abs/1009.4813v1

Mathematics

Complex Variables

Scientific paper

We announce some new results on the convergence of Chebyshev--Pad\'e
approximations to real-valued algebraic function given on the segment $[-1,1]$.
The rate of convergence on the segment and in the corresponding maximal domain
of meromorphity of a given function is charactirized in terms of a theoretical
potential equilibrium problem.

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