Hermite插值及Scaling函数的稳定性

HERMITE INTERPOLATION AND STABILITY ASSOCIATED WITH SCALING FUNCTIONS

本文考虑多测度分析中基本空间Ｖ０上的Ｈｅｒｍｉｔｅ插值问题。并给出了相应Ｈｅｒｍｉｔｅ插值基的稳定性条件。最后，考察了一个实例．

In this paper, the Hermite interpolation of the fundamental successive approximation space V. of a multiresolution analysis is considered. The Hermite interpolation basis is showed to be stable under some approximate condition. An example is used to illustrate the above results.