期刊文献+

OPTIMAL BIRKHOFF INTERPOLATION AND BIRKHOFF NUMBERS IN SOME FUNCTION SPACES 被引量:1

下载PDF
导出
摘要 This paper investigates the optimal Birkhoff interpolation and Birkhoff numbers of some function spaces in space L∞[-1,1]and weighted spaces Lp,ω[-1,1],1≤p<∞,with w 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.
作者 许贵桥 刘永平 郭丹丹 Guiqiao XU;Yongping LIU;Dandan GUO(Department of Mathematics,Tianjin Normal University,Tianjin,300387,China;Department of Mathematics,Beijing Normal University,Beijing,100875,China)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2023年第1期125-142,共18页 数学物理学报(B辑英文版)
基金 supported by National Natural Science Foundation of China(11871006,11671271)。
  • 相关文献

同被引文献10

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部