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On the Hausdorff distance between the Heaviside step function and Verhulst logistic function

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Abstract

In this note we prove more precise estimates for the approximation of the step function by sigmoidal logistic functions. Numerical examples, illustrating our results are given, too.

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Acknowledgments

The authors greatly appreciate the referee’s suggestions.

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Authors and Affiliations

  1. Sofia, Bulgaria

    Nikolay Kyurkchiev & Svetoslav Markov

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  1. Nikolay Kyurkchiev
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  2. Svetoslav Markov
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Correspondence to Nikolay Kyurkchiev.

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Kyurkchiev, N., Markov, S. On the Hausdorff distance between the Heaviside step function and Verhulst logistic function. J Math Chem 54, 109–119 (2016). https://doi.org/10.1007/s10910-015-0552-0

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