Optimal Birkhoff Interpolation and Birkhoff Numbers in Some Function Spaces
ACTA MATHEMATICA SCIENTIA(2022)
摘要
This paper investigates the optimal Birkhoff interpolation and Birkhoff numbers of some function spaces in space L ∞ [−1, 1] and weighted spaces L p,ω [−1,1], 1 ≤ p < ∞, with ω being a continuous integrable weight function in (−1,1). We proved that the Lagrange interpolation algorithms based on the zeros of some polynomials are optimal. We also show that the Lagrange interpolation algorithms based on the zeros of some polynomials are optimal when the function values of the two endpoints are included in the interpolation systems.
更多查看译文
关键词
optimal Birkhoff interpolation,Birkhoff number,Sobolev space,worst case setting
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要