| Autor: |
Bagul Yogesh J., Chesneau Christophe |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Moroccan Journal of Pure and Applied Analysis, Vol 7, Iss 1, Pp 12-19 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2351-8227 |
| DOI: |
10.2478/mjpaa-2021-0002 |
| Popis: |
We present smooth approximations to the absolute value function |x| using sigmoid functions. In particular, x erf(x/μ) is proved to be a better smooth approximation for |x| than x tanh(x/μ) and x2+μ\sqrt {{x^2} + \mu } with respect to accuracy. To accomplish our goal we also provide sharp hyperbolic bounds for the error function. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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