Conjugates of integral functionals on continuous functions

This article gives necessary and sufficient conditions for the dual representation of Rockafellar (1971) [12] for integral functionals on the space of continuous functions.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 459; no. 1; pp. 124 - 134
Main Author Perkkiö, Ari-Pekka
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.03.2018
Subjects
Convex conjugate
Inner semicontinuity
Integral functional
Set-valued mapping
Integral functional
Convex conjugate
Set-valued mapping
Inner semicontinuity
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Summary:This article gives necessary and sufficient conditions for the dual representation of Rockafellar (1971) [12] for integral functionals on the space of continuous functions.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2017.10.066