Lebesgue Constants for Rational Interpolation Processes and Inverse Rational Functions Mappings

被引：0
|
作者：
Kalmykov, Sergei [1 ,2 ]
Lukashov, Alexey [3 ,4 ]
机构：
[1] Shanghai Jiao Tong Univ, Sch Math Sci, 800 Dongchuan RD, Shanghai 200240, Peoples R China
[2] Inst Appl Math FEB RAS, 7 Radio Str, Vladivostok 690041, Russia
[3] Natl Res Univ, Moscow Inst Phys & Technol, 9 Inst Skiy Per, Dolgoprudnyi 141701, Moscow Region, Russia
[4] Saratov NG Chernyshevskii State Univ, Astrakhanskaya 83, Saratov 410012, Russia
来源：
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020) | 2021年 / 2325卷
关键词：
D O I：
10.1063/5.0040354
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We estimate the Lebesgue constants of interpolation by rational functions on one or several intervals with fixed poles having accumulation points on the interval(s). To prove it we use an analogue of the inverse polynomial image method for rational functions with fixed poles.
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页数：4
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