THE WAVELET APPROXIMATION IN REPRODUCING KERNEL SPACES H~1(I)

摘要

In this paper, we use the isomorphic relationship between Hilbert space and the reproducing kernel space to have finished the wavelet approximation in the reproducing kernel space. This provides a new method for solving number approximation in the reproducing kernel spaces. Meantime, we give an expression of first degree spline wavelet approximation in H~1(I) that is convenience for calculating.