New formulas for the Legendre-Fenchel transform

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

doi:10.1016/j.jmaa.2003.09.012

New formulas for the Legendre-Fenchel transform

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

Department of Economics and Economic History

Research output: Contribution to journal › Article › Research › peer-review

19 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 language	English
Pages (from-to)	544-555
Journal	Journal of Mathematical Analysis and Applications
Volume	288
DOIs	https://doi.org/10.1016/j.jmaa.2003.09.012
Publication status	Published - 15 Dec 2003

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title = "New formulas for the Legendre-Fenchel transform",

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AB - 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.

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DO - 10.1016/j.jmaa.2003.09.012

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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New formulas for the Legendre-Fenchel transform

Abstract

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