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

الأصل · EN

We announce some new results on the convergence of Chebyshev--Padé 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.