The conjugate of the pointwise maximum of two convex functions revisited

In this paper we use the tools of the convex analysis in order to give a suitable characterization for the epigraph of the conjugate of the pointwise maximum of two proper, convex and lower semicontinuous functions in a normed space. By using this characterization we obtain, as a natural consequence, the formula for the biconjugate of the pointwise maximum of two functions, provided the so-called Attouch-Br

• Type: Journal
• Year: 2008
• Where: JGO
• Authors: Radu Ioan Bot, Gert Wanka
• Keywords: Attouch-Br´ezis Regularity Condition, JGO 2008, Lower Semicontinuous Functions, Pointwise Maximum