Estimates of Lebesgue constants for Lagrange interpolation processes by rational functions under mild restrictions to their fixed poles

被引：0
作者：
Kalmykov, Sergei [1 ,2 ]
Lukashov, Alexey [3 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, CMA Shanghai, Shanghai, Peoples R China
[2] Keldysh Inst Appl Math, Moscow 125047, Russia
[3] Natl Res Univ, Moscow Inst Phys & Technol, Moscow, Russia
来源：
JOURNAL OF APPROXIMATION THEORY | 2023年 / 291卷
关键词：
Interpolation; Lebesgue constant; Inverse polynomial images; Chebyshev-Markov fractions;
D O I：
10.1016/j.jat.2023.105909
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We estimate the Lebesgue constants for Lagrange interpolation processes on one or several intervals by rational functions with fixed poles. We admit that the poles have finitely many accumulation points on the intervals. To prove it we use an analog of the inverse polynomial image method for rational functions with fixed poles. (c) 2023 Elsevier Inc. All rights reserved.
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页数：15
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