Functions with strictly convex epigraph

Stéphane Simon (1) , Patrick Verovic (1)

1 LAMA - Laboratoire de Mathématiques

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.

Mots clés: Convexity; Affine geometry; Strict convexity; Topological vector spaces

Domaines: Mathématiques générales [math.GM]

Stéphane Simon, Patrick Verovic. Functions with strictly convex epigraph. 2016. ⟨hal-01295380⟩