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

Autor: Gonchar, Andrei A., Rakhmanov, Evgenii A., Suetin, Sergey P.
Rok vydání: 2010
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv