Integration of the Fenchel Subdifferentials Revisited

Juan Enrique Martínez-Legaz

doi:https://doi.org/10.1007/s10013-014-0101-3

Integration of the Fenchel Subdifferentials Revisited

Juan Enrique Martínez-Legaz

Department of Economics and Economic History

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

Abstract

© 2014, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore. We obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences. For functions defined on locally convex spaces, we present a similar result in terms of є-subdifferentials.

Original language	English
Pages (from-to)	533-542
Journal	Vietnam Journal of Mathematics
Volume	42
Issue number	4
DOIs	https://doi.org/10.1007/s10013-014-0101-3
Publication status	Published - 1 Apr 2014

Keywords

Convex functions
Fenchel subdifferential
Rockafellar integration formula

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https://ddd.uab.cat/record/184527

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title = "Integration of the Fenchel Subdifferentials Revisited",

abstract = "{\textcopyright} 2014, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore. We obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences. For functions defined on locally convex spaces, we present a similar result in terms of є-subdifferentials.",

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AB - © 2014, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore. We obtain a simple integration formula for the Fenchel subdifferentials on Euclidean spaces and analyze some of its consequences. For functions defined on locally convex spaces, we present a similar result in terms of є-subdifferentials.

KW - Convex functions

KW - Fenchel subdifferential

KW - Rockafellar integration formula

U2 - https://doi.org/10.1007/s10013-014-0101-3

DO - https://doi.org/10.1007/s10013-014-0101-3

M3 - Article

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SP - 533

EP - 542

JO - Vietnam Journal of Mathematics

JF - Vietnam Journal of Mathematics

SN - 2305-221X

IS - 4

ER -

Integration of the Fenchel Subdifferentials Revisited

Abstract

Keywords

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