On the Hausdorff Distance Between the Shifted Heaviside Function and Some Generic Growth Functions

Volume 2016

On the Hausdorff Distance Between the Shifted Heaviside Function and Some Generic Growth Functions
(International Journal of Engineering Works)

Vol. 3, Issue 10, PP. 73-77, October 2016

Keywords: Sigmoid functions, Heaviside function, Turner– Bradley–Kirk–Pruitt generic function, Hausdorff distance, Upper and lower bounds

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Abstract

In this paper we study the one–sided Hausdorff distance between the shifted Heaviside function and some generic growth function such as Turner–Bradley–Kirk–Pruitt function. Numerical examples are presented using CAS MATHEMATICA

Author
1. Nikolay Kyurkchiev, nkyurk@math.bas.bg, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 8, 1113 Sofia, Bulgaria
2. Anton Iliev, aii@uni-plovdiv.bg, Faculty of Mathematics and Informatics, Paisii Hilendarski University of Plovdiv, 24 Tsar Assen Str., 4000 Plovdiv, Bulgaria
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Nikolay Kyurkchiev and Anton Iliev,"On the Hausdorff Distance Between the Shifted Heaviside Function and Some Generic Growth Functions", International Journal of Engineering Works, Vol. 3, Issue 10, PP. 73-77, October 2016.

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