Convergence of Wavelet Expansions at Generalized Continuous Points
Shu Gai Zhao, Gen Tian · Advanced materials research · 2013
Convergence of wavelet expansions of a function f at generalized continuous points is discussed. By approximation method, its proved that the wavelet expansions of f converge to the mean value of the left and the right limits of f at a generalized continuous point. As an application, the result that the wavelet expansions of a function f converge at a continuous point is generalized.