Convergence rate of wavelet expansion of periodic functions
Cao Huai-xin · Basic Sciences Journal of Textile Universities · 2009
Convergence rate of wavelet expansions of periodic functions is discussed.By studying the partial sum sN(f) of wavelet expansion of f∈L1(T) and the construction ∑v∈Z(m,n)ψ(2mx+v)ψ(2mt+v),the convergence and convergence rate of partial sum of f ≤L1(T) are characterized.And then an exact estimation of convergence rate of sN(f) to f ≤L1(T) in the sense of p-norm is established.