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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KW - Rockafellar integration formula

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