Integrals which are convex functionals.
R. T. Rockafellar
Source: Pacific J. Math. Volume 24, Number 3 (1968), 525-539.
Related Works:
Primary Subjects: 46.35
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102986512
Zentralblatt MATH identifier:
0159.43804
Mathematical Reviews number (MathSciNet):
MR0236689
References
[1] A. Br^ndsted, Conjugate convex functionsin topological vector spaces, Mat.-fys. Medd. Dansk. Vid. Selsk. 34 (1964).
Mathematical Reviews (MathSciNet):
MR29:3853
Zentralblatt MATH:
0119.10004
[2] W. Fenchel, On conjugate convex functions,Canad. J. Math. 1 (1949), 73-77.
Mathematical Reviews (MathSciNet):
MR10:435b
Zentralblatt MATH:
0038.20902
[3] W. Fenchel, Convex cones, sets and functions, lecture notes, Princeton University, 1953.
[4] P. Halmos, Measure Theory, van Nostrand, Princeton, 1950.
Mathematical Reviews (MathSciNet):
MR11:504d
[5] M. A. Krasnosel'skii and Ya. B. Rutickii, Convex Functionsand Orlicz Spaces, Noordhoff, Groningen, 1961.
Zentralblatt MATH:
0095.09103
[6] J.-J. Moreau, Fonctions convexes en dualite, Seminaire de Mathematiques de la Faculte des Sciences de Montpellier, no. 1, 1962.
[7] J.-J. Moreau, Sur la fonction polaire d'une fonction semi-continue superiurement,C. R. Acad. Sci 258 (1964), 1128-1130.
Mathematical Reviews (MathSciNet):
MR28:3307
[8] J.-J. Moreau, Les liaisons unilaterals et le principe de Gauss, C. R. Acad. Sci. 256 (1963), 871-874.
Mathematical Reviews (MathSciNet):
MR30:5527
[9] J.-J. Moreau, Proximite et dualite dans un espace hilbertien, Bull. Soc. Math. France 93 (1965), 273-299.
Mathematical Reviews (MathSciNet):
MR34:1829
Zentralblatt MATH:
0136.12101
[10] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze and E. F. Mishchenko, The Mathematical Theory of Optimal Processes, Interscience, New York, 1962.
Mathematical Reviews (MathSciNet):
MR29:3316b
Zentralblatt MATH:
0102.32001
[11] R. T. Rockafellar, Duality and stability in extemum problems involving convex functions,Pacific J. Math. 21 (1967), 167-187.
Mathematical Reviews (MathSciNet):
MR35:2636
Zentralblatt MATH:
0154.44902
[12] R. T. Rockafellar, Level sets and continuityof conjugate convex functionsTrans. Amer. Math. Soc. 123 (1966), 46-63. 13#fConvex analysis, lecture notes, Princeton University, 1966.
Mathematical Reviews (MathSciNet):
MR33:544
Zentralblatt MATH:
0145.15802
Pacific Journal of Mathematics