On the convergence on nonlinear Padé--Chebyshev approximations to the multivalued analytic functions, variation of equilibrium energy and $S$-property of stationary compacts

Andrei A. Gonchar, Evguenii A. Rakhmanov, Sergey P. Suetin

Some new results on the convergence of nonlinear diagonal Padé--Chebyshev approximations to multivalued analytic function given on the segment $[-1,1]$, are proved. We show that th…