Convex analysis on polyhedral spaces
Ana Mar\'ia Botero, Jos\'e Ignacio Burgos Gil, Mart\'in Sombra
TL;DR
This paper introduces a new framework for analyzing concavity on balanced polyhedral spaces, establishing key continuity properties for such functions.
Contribution
It presents novel notions of concavity tailored to polyhedral spaces and demonstrates their strong continuity properties.
Findings
Concave functions on balanced polyhedral spaces are strongly continuous.
New notions of concavity are developed for polyhedral spaces.
Abstract
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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