Coapproximation Wavelet Using Hermite Wavelets and Haar Wavelets

Abstract

In this paper, we consider wavelet coapproximation in Hermite wavelets and Haar wavelets. At first, we define wavelet coapproximation of a function with concerning a set. We show that if the series \(\sum _{n=0}^{\infty }\sum _{m=0}^{\infty }|t_{n,m}|^2\) is convergent, then there exists a wavelet coapproximation for a set.