Lebesgue Constants for Cantor Sets

被引：0
|
作者：
Goncharov, Alexander [1 ]
Paksoy, Yaman [1 ]
机构：
[1] Bilkent Univ, Dept Math, TR-06800 Ankara, Turkiye
来源：
EXPERIMENTAL MATHEMATICS | 2024年
关键词：
Lebesgue constants; Cantor sets;
D O I：
10.1080/10586458.2024.2381676
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We evaluate the values of the Lebesgue constants in polynomial interpolation for three types of Cantor sets. In all cases, the sequences of Lebesgue constants are not bounded. This disproves the statement by Mergelyan.
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页数：11
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