Integration of the Fenchel Subdifferentials Revisited

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© 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 languageEnglish
Pages (from-to)533-542
JournalVietnam Journal of Mathematics
Issue number4
Publication statusPublished - 1 Apr 2014


  • Convex functions
  • Fenchel subdifferential
  • Rockafellar integration formula


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