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Journal of Convex Analysis 14 (2007), No. 4, 855--867
Copyright Heldermann Verlag 2007

Two Semiconic Duality Theorems

Vladimir L. Levin
Central Economics and Mathematics Institute, Russian Academy of Sciences, 47 Nakhimovskii Prospect, 117418 Moscow, Russia

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.

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