A NOTE ON THE LOG-LOGISTIC AND TRANSMUTED LOG-LOGISTIC MODELS. SOME APPLICATIONS

被引：15
|
作者：
Markov, Svetoslav [1 ]
Kyurkchiev, Nikolay [2 ]
Iliev, Anton [2 ]
Rahnev, Asen [2 ]
机构：
[1] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev Str,Bl 8, BU-1113 Sofia, Bulgaria
[2] Univ Plovdiv Paisii Hilendarski, Fac Math & Informat, Plovdiv, Bulgaria
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2018年 / 27卷 / 03期
关键词：
log-logistic model; quadratic transmuted log-logistic model; shifted Heaviside function h(t)(0)(t); Hausdorff approximation; upper and lower bounds; debugging theory; RELIABILITY;
D O I：
10.12732/dsa.v27i3.9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Hausdorff approximation of the shifted Heaviside function by Log-logistic and quadratic transmuted Log-logistic sigmoid functions is investigated and an expression for the error of the best approximation is obtained. The results of numerical examples performed in the programming environment Mathematica confirm our theoretical conclusions. Some applications in the field of biochemical processes and debugging theory are also explored.
引用
收藏
页码：593 / 607
页数：15
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