Convex analysis on polyhedral spaces

We introduce notions of concavity for functions on balanced polyhedral spaces, and we show that concave functions on such spaces satisfy several strong continuity properties.

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Bibliographic Details
Published in:Mathematische Zeitschrift 2022, Vol.301 (2), p.1631-1674
Main Authors: Botero, Ana María, Ignacio Burgos Gil, José, Sombra, Martín
Format: Article
Language:English
Subjects:
Concavity
Mathematics
Mathematics and Statistics
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Description
Summary:We introduce notions of concavity for functions on balanced polyhedral spaces, and we show that concave functions on such spaces satisfy several strong continuity properties.
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-021-02869-6