Hermite插值在最大框架下的逼近误差  

Approximation error of Hermite polynomial interpolation in the worst case setting

作　　者：于晓晨 黄蓉[1] YU Xiaochen;HUANG Rong(College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《天津师范大学学报（自然科学版）》2023年第1期1-5,共5页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11871006)。

摘　　要：在最大框架下研究Hermite插值算子在加权L_(p)(1≤p≤+∞)范数下对一类解析函数类的逼近问题,得到了逼近误差的显式表达式,利用此结果研究基于第二类Chebyshev节点组的2种Hermite插值算子,得到了相应量的强渐近阶或值.The approximation error of a class of analytic functions by Hermite polynomial interpolation operators in the worst case setting under weighted L_(p)-norm(1≤p≤+∞)is studied,and the explicit expression of the approximation error is obtained.By using obtained result,two kinds of Hermite polynomial interpolation operators based on Chebyshev nodes of the second kind are considered,and the strong asymptotic order or its value of the corresponding quantities are obtained.

关 键 词：HERMITE插值 最大框架 解析函数类 Chebyshev节点组 

分 类 号：O174.41[理学—数学]