小波级数在广义连续点处的收敛性

Convergence of Wavelet Expansions at Generalized Continuous Point

通过引入广义连续点的定义,利用逼近论的思想,建立f的小波级数在广义连续点收敛于f的左右极限的算术平均值的定理,推广了小波级数在连续点的收敛的结论.

By introducing the generalized continuous point,the wavelet expansion of f converges to the mean value of the left limit and the right limit of f at the generalized continuous point is established.Then the result of the convergence of wavelet expansion at continuous point is generalized.