Paper detail

Logarithmic asymptotic of multi-level Hermite-Padé polynomials

We study the logarihtnmic asymptotic of multiple orthogonal polynomials arising in a mixed type Hermite-Padé approximation problem associated with the rational perturbation of a Nikishin system of functions. The formulas obtained allow to give exact estimates of the rate of convergence of the corresponding Hermite-Padé approximants.

preprint2020arXivOpen access
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