Wavelets Approximation in Functional Spaces
Liu Xingwe · Journal of Sichuan Normal University · 2015
Starting with approximation of functions in Sobolev spaces,by using the decomposition of orthonormal series to estimate the modulus in a functional space and constructing the characters of the approximation by multi- resolution analysis,an equivalent description of wavelet approximation in Sobolev spaces and the equivalent form of the modulus are obtained. Similar discussion in Besov spaces gives the equivalent theorem of the functions and the form of the modulus in these spaces. The conclusions provide another efficient tool for us to describe functional space.