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

Authors

  • Anton Iliev Iliev Plovdiv University
  • Nikolay Kyurkchiev
  • Svetoslav Markov

DOI:

https://doi.org/10.11145/j.biomath.2016.09.041

Keywords:

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

Abstract

In this paper we study the one-sided Hausdorff distance betweenВ 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 MathematicaВ for the analysis of the growth curves. Numerical examples, illustrating our results are given, too.

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Published

2016-09-17

Issue

Vol. 5 No. 2 (2016)

Section

Original Articles

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