On Convergence of Wavelet Expansion in Weighted Sobolev Space
Cao Huai-xin · Journal of Southwest China Normal University · 2013
Convergence and convergence rate of wavelet expansion in weighted Sobolev space have been researched.By means of Parseval equality of Fourier series,it's proved that wavelet expansion in weighted Sobolev space converges in norm.Based on this,the remainder of wavelet expansion is estimated and exact estimation of convergence rate of wavelet expansion in norm obtained.