New formulas for the Legendre-Fenchel transform

J. B. Hiriart-Urruty, J. E. Martínez-Legaz

Research output: Contribution to journalArticleResearchpeer-review

17 Citations (Scopus)

Abstract

We present new formulas for the Legendre-Fenchel transform of functions. They concern the following three operations: inverting a strictly monotone convex function, post-composing an arbitrary function with a strictly monotone concave function, multiplying two positively valued strictly monotone convex functions. © 2003 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)544-555
JournalJournal of Mathematical Analysis and Applications
Volume288
DOIs
Publication statusPublished - 15 Dec 2003

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