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

Departamento de Economía y de Historia Económica

Producción científica: Contribución a una revista › Artículo › Investigación › revisión exhaustiva

19 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	544-555
Publicación	Journal of Mathematical Analysis and Applications
Volumen	288
DOI	https://doi.org/10.1016/j.jmaa.2003.09.012
Estado	Publicada - 15 dic 2003

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

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. {\textcopyright} 2003 Elsevier Inc. All rights reserved.",

author = "Hiriart-Urruty, \{J. B.\} and Mart{\'i}nez-Legaz, \{J. E.\}",

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doi = "10.1016/j.jmaa.2003.09.012",

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AU - Hiriart-Urruty, J. B.

AU - Martínez-Legaz, J. E.

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N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0347604046

U2 - 10.1016/j.jmaa.2003.09.012

DO - 10.1016/j.jmaa.2003.09.012

M3 - Article

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VL - 288

SP - 544

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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

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