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
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.