INTEGRALS WHICH ARE CONVEX FUNCTIONALS

被引：251
作者：
ROCKAFELLAR, RT
机构：
来源：
PACIFIC JOURNAL OF MATHEMATICS | 1968年 / 24卷 / 03期
关键词：
D O I：
10.2140/pjm.1968.24.525
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. © 1968 by Pacific Journal of Mathematics.
引用
收藏
页码：525 / +
页数：1
相关论文
共 13 条
[1]  
BRONDSTED A, 1964, MATFYS MEDD DANSK VI, V34
[2]   ON CONJUGATE CONVEX FUNCTIONS [J].
FENCHEL, W .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1949, 1 (01) :73-77
[3]  
Fenchel W., 1953, CONVEX CONES SETS FU
[4]  
Halmos P.R., 1950, MEASURE THEORY
[5]  
Krasnoselskii M. A., 1961, CONVEX FUNCTIONS ORL
[6]  
Moreau J. J., 1965, B SOC MATH FR, V93, P273
[7]  
MOREAU JJ, 1963, CR HEBD ACAD SCI, V256, P871
[8]  
MOREAU JJ, 1964, CR HEBD ACAD SCI, V258, P1128
[9]  
MOREAU JJ, 1962, SEMINAIRE MATHEMATIQ
[10]  
Pontryagin L., 1962, MATH THEORY OPTIMAL
12