On the approximation of the step function by some sigmoid functions

A. Iliev, N. Kyurkchiev and S. Markov

Mathematics and Computers in Simulation (MATCOM), 2017, vol. 133, issue C, 223-234

Abstract: In this note the Hausdorff approximation of the Heaviside step function by several sigmoid functions (log–logistic, transmuted log–logistic and generalized logistic functions) is considered and precise upper and lower bounds for the Hausdorff distance are obtained. Numerical examples, that illustrate our results are given, too.

Keywords: Step function; Log–logistic function; Transmuted log–logistic function; Fisk and Richards models; Hausdorff distance (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:133:y:2017:i:c:p:223-234

DOI: 10.1016/j.matcom.2015.11.005

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