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Approximation of the Cut Function by Some Generic Logistic Functions and Applications
Advances in Applied Sciences
Volume 1, Issue 2, October 2016, Pages: 24-29
Received: Aug. 17, 2016; Accepted: Aug. 27, 2016; Published: Sep. 12, 2016
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Authors
Nikolay Kyurkchiev, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Svetoslav Markov, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
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Abstract
In this paper we study the uniform approximation of the cut function by smooth sigmoid functions such as Nelder and Turner–Blumenstein–Sebaugh growth functions. To illustrate the use of one of the models we have fitted the model to the “classical Verhulst data”. Several numerical examples are presented throughout the paper using the contemporary computer algebra system MATHEMATICA.
Keywords
Sigmoid Functions, Cut Function, Step Function, Nelder Growth Function,Turner–Blumenstein–Sebaugh Generic Function, Uniform Approximation
To cite this article
Nikolay Kyurkchiev, Svetoslav Markov, Approximation of the Cut Function by Some Generic Logistic Functions and Applications, Advances in Applied Sciences. Vol. 1, No. 2, 2016, pp. 24-29. doi: 10.11648/j.aas.20160102.11
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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