Uniform convergence of partial sum of wavelet expansions
Cao Huai-xin · Journal of Lanzhou University of Technology · 2012
The uniform convergence of the partial sum of wavelet expansions was discussed.By introducing a functional space L2r(R),the problem of uniform approximation of partial sum f(r)m of wavelet expansions of its r-th derivative f(r) to f(r) was studied.If f(r) were continuous on(a,b),an exact estimation of approximation rate of f(r)m to f(r) would be established,so that the result of related uniform convergence would be obtained.