Zur theorie der polarfunktionale
- 1 January 1974
- journal article
- research article
- Published by Taylor & Francis in Mathematische Operationsforschung und Statistik
- Vol. 5 (1) , 3-21
- https://doi.org/10.1080/02331887408801144
Abstract
In this paper a generalization of FENCHEL's conjugate functions is given. We introduce both the upper and lower polar functionals, respectively, using the upper addition and lower addition (as done by MOREAU). Then we give a few general results. Moreover, a weak duality theorem for certain dual optimization problems is proveci. Finally me generalize FALK's investigations and obtain some properties of the upper and lower convex envelope of a functional.Keywords
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