On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2016-09-01
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| Series: | Biomath |
| Subjects: | |
| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/711 |
| _version_ | 1797727000445583360 |
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| author | Anton Iliev Iliev Nikolay Kyurkchiev Svetoslav Markov |
| author_facet | Anton Iliev Iliev Nikolay Kyurkchiev Svetoslav Markov |
| author_sort | Anton Iliev Iliev |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T10:53:35Z |
| format | Article |
| id | doaj.art-7c4d56d2cebb4d9cb316c2f02c06469b |
| institution | Directory Open Access Journal |
| issn | 1314-684X 1314-7218 |
| language | English |
| last_indexed | 2024-03-12T10:53:35Z |
| publishDate | 2016-09-01 |
| publisher | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics |
| record_format | Article |
| series | Biomath |
| spelling | doaj.art-7c4d56d2cebb4d9cb316c2f02c06469b2023-09-02T06:41:07ZengBulgarian Academy of Sciences, Institute of Mathematics and InformaticsBiomath1314-684X1314-72182016-09-015210.11145/j.biomath.2016.09.041534On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth functionAnton Iliev Iliev0Nikolay KyurkchievSvetoslav MarkovPlovdiv UniversityIn 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.http://www.biomathforum.org/biomath/index.php/biomath/article/view/711Transmuted Stannard growth functionHeaviside step functionHausdorff distanceUpper and lower bounds. |
| spellingShingle | Anton Iliev Iliev Nikolay Kyurkchiev Svetoslav Markov On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function Biomath Transmuted Stannard growth function Heaviside step function Hausdorff distance Upper and lower bounds. |
| title | On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function |
| title_full | On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function |
| title_fullStr | On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function |
| title_full_unstemmed | On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function |
| title_short | On the Hausdorff distance between the shifted Heaviside step function and the transmuted Stannard growth function |
| title_sort | on the hausdorff distance between the shifted heaviside step function and the transmuted stannard growth function |
| topic | Transmuted Stannard growth function Heaviside step function Hausdorff distance Upper and lower bounds. |
| url | http://www.biomathforum.org/biomath/index.php/biomath/article/view/711 |
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