Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (1): 9-20.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 41A05
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