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Author

A. Hantoute

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2 papers indexed here

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Open access 2023

Lebesgue Infinite Sums of Convex Functions: Subdifferential Calculus

<jats:p> We present a subdifferential analysis for a general concept of infinite sum <jats:inline-formula> <jats:alternatives> <jats:tex-math notation="LaTeX">f:=\sum_{i\in I}f_{i}</jats:tex-math> <mml:math xml...

A. Hantoute, A. Jourani, J. Vicente-Pérez · 1 citation
Open access 2008

A Complete Characterization of the Subdifferential Set of the Supremum of an Arbitrary Family of Convex Functions

Starting with some analysis of the support function of an arbitrary set, we obtain a formula for the subdifferential set of the supremum function of an arbitrary (possibly infinite) family of proper convex functions at each point of its effective domain, not necessarily at a continuity point. In this sense, our formula...

A. Hantoute, Marco A. López · 20 citations

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