Integrals which are convex functionals
R. TYRRELL ROCKAFELLAR · Pacific Journal of Mathematics · 1968
This paper examines numerical functionals defined on function spaces by means of integrals having certain convexity properties.The functionals are themselves convex, so they can be analysed in the light of the theory of conjugate convex functions, which has recently undergone extensive development.The results obtained are applicable to Orlicz space theory and in the study of various extremum problems in control theory and the calculus of variations.