Two Semiconic Duality Theorems
Journal of convex analysis, Tome 14 (2007) no. 4, pp. 855-867
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This paper continues the study of semiconic duality of sets and functions that was started in the previous papers by the author. We obtain formulas for negative polars of intersections of n closed convex semiconic sets and for dual functions of sums of n convex lower semicontinuous semihomogeneous functions. Particular attention will be paid to the case of polyhedral sets and functions.
@article{JCA_2007_14_4_JCA_2007_14_4_a8,
author = {V. L. Levin},
title = {Two {Semiconic} {Duality} {Theorems}},
journal = {Journal of convex analysis},
pages = {855--867},
publisher = {mathdoc},
volume = {14},
number = {4},
year = {2007},
url = {http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a8/}
}
V. L. Levin. Two Semiconic Duality Theorems. Journal of convex analysis, Tome 14 (2007) no. 4, pp. 855-867. http://geodesic.mathdoc.fr/item/JCA_2007_14_4_JCA_2007_14_4_a8/