On the Hausdorff distance between the Heaviside step function and Verhulst logistic function

On the Hausdorff distance between the Heaviside step function and Verhulst logistic function

In this note we prove more precise estimates for the approximation of the step function by sigmoidal logistic functions. Numerical examples, illustrating our results are given, too.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of mathematical chemistry 2016-01, Vol.54 (1), p.109-119
Hauptverfasser: Kyurkchiev, Nikolay, Markov, Svetoslav
Format: Artikel
Sprache:eng
Schlagworte:
Chemistry
Chemistry and Materials Science
Math. Applications in Chemistry
Original Paper
Physical Chemistry
Theoretical and Computational Chemistry
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this note we prove more precise estimates for the approximation of the step function by sigmoidal logistic functions. Numerical examples, illustrating our results are given, too.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-015-0552-0