ON THE APPROXIMATION OF THE HAAR SCALING FUNCTION BY SIGMOIDAL SCALING FUNCTIONS

In this article we study the Hausdorff approximation of the Haarscaling function by sigmoidal scaling functions. We prove upper and lower estimatesfor the value of the Hausdorff distance d. A simple dynamic software module usingCAS Mathematica and Wolfram Cloud Open Access is developed. Numerical examplesare given to illustrate our results.