Generalized convexity cones and their duals

Dan Amir, Zvi Ziegler

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The structure of the intersections and unions of generalized convexity cones is analysed. The main results involve on the one hand denseness properties of sums of two distinct generalized convexity cones and on the other hand the availability of a decomposition for measures of the cones dual to intersections of generalized convexity cones. As an application an integration scheme which converges for all convex functions is found.

Original languageEnglish
Pages (from-to)425-440
Number of pages16
JournalPacific Journal of Mathematics
Issue number3
StatePublished - Dec 1968


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