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Iliev, A.; Kyurkchiev, N.; Markov, S.
Mathematics and computers in simulation, March 2017, 2017-03-00, Volume: 133Journal Article
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.
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