On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function

Anton Iliev Iliev, Nikolay Kyurkchiev, Svetoslav Markov

Abstract


In this paper we study the one-sided Hausdorff distance between the shifted Heaviside step--function and the transmuted Stannard growth function. Precise upper and lower bounds for the Hausdorff distance have been obtained. We present a software module (intellectual property) within the programming environment CAS Mathematica for the analysis of the growth curves. Numerical examples, illustrating our results are given, too.


Keywords


Transmuted Stannard growth function; Heaviside step function; Hausdorff distance; Upper and lower bounds.

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DOI: http://dx.doi.org/10.11145/j.biomath.2016.09.041

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ISSN 1314-7218 (online)
ISSN 1314-684X (print)

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