Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials
The \([n- 1/n ]\)-type two-point (at \(z=0\) and at \(z= \infty\)) Padé approximants to the Stieltjes-type meromorphic functions are studied. The rate of convergence of the above approximation is estimated by using the logarithmic asymptotics of Laurent-type orthogonal polynomials, when the interpolation conditions are proportionally distributed at 0 and \(\infty\).
scientific article; zbMATH DE number 792819
scientific article