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Verallgemeinerte konvexe funktionen1

 

作者: Jügen Schrader,  

 

期刊: Mathematische Operationsforschung und Statistik. Series Optimization  (Taylor Available online 1977)
卷期: Volume 8, issue 1  

页码: 41-53

 

ISSN:0323-3898

 

年代: 1977

 

DOI:10.1080/02331937708842404

 

出版商: Akademic-Verlag

 

数据来源: Taylor

 

摘要:

Several authors generalized the conjugation in the sense of Fenchel so that it is not realized with respect to the (component-wise) continuous bilinear form (x, y) overX×Y(a – dual – topological pair), but that this is replaced by an arbitrary coupling functional ϕ ∈ RX×Y. Properties of such functionalsjhave been studied, which, by means of a twofold conjugation with respect to ϕ, are transformed into themselves. The aim of this paper is to give a set-theoretic description by means of the epigraph of these functionals, which proves to be equivalent to the analytical one.

 

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