Convergence and Convergence Rates of Wavelet Expansion
Zhao Shu-gai · Gongcheng shuxue xuebao · 2012
Uniform convergence and convergence rates of wavelet expansion are considered in this paper.It is shown that the wavelet expansion converges to the inverse Fourier transform of f uniformly as m tends to positive infinity and converges to 0 uniformly as m tends to negative infinity,when the support of the scale function is bounded.Moreover,by means of approximation,the estimations of their convergence rates in Sobolev space are established,respectively.