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Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation
Journal of Approximation Theory ( IF 0.9 ) Pub Date : 2021-01-18 , DOI: 10.1016/j.jat.2021.105540
Amadeo Irigoyen

We first give a method to get multidimensional Leja sequences by considering intertwining sequences from one-dimensional ones. An application is the existence of explicit Leja sequences for the closed unit polydisc.

Next, we deal with some applications in bidimensional Lagrange interpolation with intertwining Leja sequences. These results also require an explicit formula for the associated fundamental Lagrange polynomials with uniform estimates.



中文翻译:

多维交织的Leja序列及其在二维Lagrange插值中的应用

我们首先给出一种方法,该方法通过考虑一维序列中的交织序列来获得多维Leja序列。一个应用是封闭单元多碟的显式Leja序列的存在。

接下来,我们处理交织的Leja序列在二维Lagrange插值中的一些应用。这些结果还需要具有统一估计的关联基本Lagrange多项式的显式公式。

更新日期:2021-01-19
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