Daniilidis, A., & Drusvyatskiy, D. (2023). The slope robustly determines convex functions. Proceedings of the American Mathematical Society, 151(11), 4751–4756. https://doi.org/10.1090/proc/16503
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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Journal:
Proceedings of the American Mathematical Society
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ISSN:
0002-9939
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Date (published):
14-Jul-2023
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Number of Pages:
6
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Publisher:
AMER MATHEMATICAL SOC
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Peer reviewed:
Yes
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Keywords:
Convex function; Slope; Stability.; Subgradient
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Abstract:
We show that the deviation between the slopes of two convex functions controls the deviation between the functions themselves. This result reveals that the slope-A one dimensional construct-robustly determines convex functions, up to a constant of integration.
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Project title:
Unilateralität und Asymmetrie in der Variationsanalyse: P 36344N (FWF Fonds zur Förderung der wissenschaftlichen Forschung (FWF))
