In this note we provide a simple proof of some properties enjoyed by convex functions having the engulfing property. In particular, making use only of results peculiar to convex analysis, we prove that differentiability and strict convexity are conditions intrinsic to the engulfing property.

Calogero, A., Pini, R. (2020). The engulfing property from a convex analysis viewpoint. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 187(2), 408-420 [10.1007/s10957-020-01755-1].

The engulfing property from a convex analysis viewpoint

Calogero, AG;Pini, R
2020

Abstract

In this note we provide a simple proof of some properties enjoyed by convex functions having the engulfing property. In particular, making use only of results peculiar to convex analysis, we prove that differentiability and strict convexity are conditions intrinsic to the engulfing property.
Articolo in rivista - Articolo scientifico
Engulfing property; soft engulfing property; convex function;
English
28-set-2020
2020
187
2
408
420
none
Calogero, A., Pini, R. (2020). The engulfing property from a convex analysis viewpoint. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 187(2), 408-420 [10.1007/s10957-020-01755-1].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/278604
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