Functions with strictly convex epigraph
St\'ephane Simon (LAMA), Patrick Verovic (LAMA)
TL;DR
This paper characterizes functions whose epigraphs are strictly convex, providing a complete and simple description for functions defined on topological real vector spaces.
Contribution
It offers a new, comprehensive characterization of functions with strictly convex epigraphs in topological vector spaces.
Findings
Provides a complete characterization of such functions.
Simplifies understanding of functions with strictly convex epigraphs.
Applicable to functions in topological real vector spaces.
Abstract
The aim of this paper is to provide a complete and simple characterization of functions with domain in a topological real vector space whose epigraph is strictly convex.
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Taxonomy
TopicsOptimization and Variational Analysis · Advanced Banach Space Theory · Functional Equations Stability Results