Construction of Quasi Interval Wavelet Based on Constrained Variational Principle

A construction method of the interval wavelet is proposed based on constrained variational principle, and a quasi-Shannon interval wavelet is constructed by this method. The linear, the conic, the quartic and the sine function are approximated using quasi interval wavelet, the affection of width parameter r and the number of external collocation points L on the computation precision is discussed, and the appropriate value domains of the parameters are given out. The numerical result shows that quasi-Shannon interval wavelet is better than quasiShannon wavelet in numeric methods.