Newton and Bouligand derivatives of the scalar play and stop operator
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Date
2020
Authors
Volume
15
Issue
Journal
Mathematical modelling of natural phenomena : MMNP
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Book Title
Publisher
Les Ulis : EDP Sciences
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Abstract
We prove that the play and the stop operator possess Newton and Bouligand derivatives, and exhibit formulas for those derivatives. The remainder estimate is given in a strengthened form, and a corresponding chain rule is developed. The construction of the Newton derivative ensures that the mappings involved are measurable. © The authors. Published by EDP Sciences, 2020.
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Citation
Brokate, M. (2020). Newton and Bouligand derivatives of the scalar play and stop operator (Les Ulis : EDP Sciences). Les Ulis : EDP Sciences. https://doi.org//10.1051/mmnp/2020013
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License
CC BY 4.0 Unported