论文标题

对数渐近造型多项式padé多项式

Logarithmic asymptotic of multi-level Hermite-Padé polynomials

论文作者

Ricardo, L. G. González, Lagomasino, G. López, Peralta, S. Medina

论文摘要

我们研究了在混合型Hermite-Padé近似问题中产生的多个正交多项式的次数渐近线,与尼基敏蛋白功能系统的合理扰动有关。获得的公式允许准确估计相应的Hermite-Padé近似值的收敛速率。

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.

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