Using Gaussian Function to Construct the Appropriate Wavelet Function for Accurate Computation of Derivative

Abstract

Maurice Hasson has constructed wavelet function using maxican hat function and richardson extrapolation technique has been used in his work. In this paper the author have constructing the appropriate wavelet function by using gaussian function. This wavelet is usfull for accurate computation of derivative. we also use Richardson Extrapolation technique in our construction. We present many vanishing moment condition in our construction when being convolved in a precise manner.