On the approximation of the step function by some sigmoid functions

被引：66

作者：

Iliev, A. ^{[1
]}

Kyurkchiev, N.

Markov, S.

机构：

[1] Paisii Hilendarski Univ Plovdiv, Fac Math & Informat, 24 Tsar Assen Str, Plovdiv 4000, Bulgaria

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2017年 / 133卷

关键词：

Step function; Log-logistic function; Transmuted log-logistic function; Fisk and Richards models; Hausdorff distance;

D O I：

10.1016/j.matcom.2015.11.005

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this note the Hausdorff approximation of the Heaviside step function by several sigmoid functions (log-logistic, transmuted log-logistic and generalized logistic functions) is considered and precise upper and lower bounds for the Hausdorff distance are obtained. Numerical examples, that illustrate our results are given, too. (C) 2015 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：223 / 234

页数：12

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