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arXiv · 1009.4813

On the convergence of Chebyshev--Pad\'e approximations to real-valued algebraic functions

Andrei A. Gonchar·Evgenii A. Rakhmanov·Sergey P. Suetin
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Abstract

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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Andrei A. Gonchar, Evgenii A. Rakhmanov, Sergey P. Suetin. 2010-09-24. On the convergence of Chebyshev--Pad\'e approximations to real-valued algebraic functions. https://arxiv.org/abs/1009.4813

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