Convex integral functionals

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:12:43Z
dc.date.available	2014-03-01T01:12:43Z
dc.date.issued	1997	en
dc.identifier.issn	0002-9947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12213
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-21744450403&partnerID=40&md5=faa71358d2baa41386099301e22f8233	en
dc.subject	Conditional expectation	en
dc.subject	E-subdifferential	en
dc.subject	Multifunction	en
dc.subject	Normal convex integrand	en
dc.subject	Singular functional	en
dc.subject	Souslin space subdifferential	en
dc.subject	Support function	en
dc.subject.classification	Mathematics	en
dc.subject.other	CONVERGENCE	en
dc.title	Convex integral functionals	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	We study nonlinear integral functionals determined by normal convex integrands. First we obtain expressions for their convex conjugate, their epsilon-subdifferential (epsilon greater than or equal to 0) and their epsilon-directional derivative. Then we derive a necessary and sufficient condition for the existence of an approximate solution for the continuous infimal convolution. We also obtain general conditions which guarantee the interchangeability of the conditional expectation and subdifferential operators. Finally we examine the conditional expectation of random sets.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	Transactions of the American Mathematical Society	en
dc.identifier.isi	ISI:A1997WX39300006	en
dc.identifier.volume	349	en
dc.identifier.issue	4	en
dc.identifier.spage	1421	en
dc.identifier.epage	1436	en