On the Approximation of the Cut and Step Functions by Logistic and Gompertz Functions
Anton I. Iliev, Nikolay V. Kyurkchiev, Svetoslav Marinov Markov · BIOMATH · 2015
We study the uniform approximation of the sigmoid cut function by smooth sigmoid functions such as the logistic and the Gompertz functions. The limiting case of the interval-valued В step function is В discussed В using В Hausdorff metric. В Various expressions for the error estimates of the corresponding uniform and Hausdorff approximations are obtained. Numerical examples are presented using CAS MATHEMATICA.