An analysis of best wavelet approximation problem of a function using Hermite wavelet

Abstract

In this paper, we introduce two novel wavelet approximations tailored for functions exhibiting a restricted second derivative and a bounded derivative. Employing the Hermite wavelet method, we derive these approximations to address the need for effective representations of such functions. Our findings reveal that these new wavelet approximations offer enhanced accuracy and efficiency in capturing the underlying structure of , making them valuable tools in various applications requiring precise function approximations with limited derivative constraints.