数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (1): 9-20.

• 论文 • 上一篇    下一篇

TRUNCATED HERMITE INTERPOLATION ON AN ARBITRARY SYSTEM OF NODES

 史应光   

  1. Department of Mathematics, Hunan Normal University, Changsha 410081, China
    Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China
  • 出版日期:2001-01-06 发布日期:2001-01-06
  • 基金资助:

    1Project 19671082 Supported by National Natural Science Foundation of China

TRUNCATED HERMITE INTERPOLATION ON AN ARBITRARY SYSTEM OF NODES

 SHI Ying-Guang   

  1. Department of Mathematics, Hunan Normal University, Changsha 410081, China
    Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, China
  • Online:2001-01-06 Published:2001-01-06
  • Supported by:

    1Project 19671082 Supported by National Natural Science Foundation of China

摘要:

The criteria of convergence, including a theorem of Gr?unwald-type, and the rate of convergence in terms of the modulus !'(f, t) of Ditzian and Totik for truncated Hermite interpolation on an arbitrary system of nodes are given.

关键词: Truncated Hermite interpolation, convergence, rate of convergence

Abstract:

The criteria of convergence, including a theorem of Gr?unwald-type, and the rate of convergence in terms of the modulus !'(f, t) of Ditzian and Totik for truncated Hermite interpolation on an arbitrary system of nodes are given.

Key words: Truncated Hermite interpolation, convergence, rate of convergence

中图分类号: 

  • 41A05