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VARIATION ON A THEOREM BY CARATHÉODORY
Author(s) -
Schulman Leonard J.
Publication year - 2010
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579309000515
Subject(s) - mathematics , variation (astronomy) , pure mathematics , mathematical analysis , astrophysics , physics
Carathéodory's theorem on small witnesses for convex hulls of sets is shown to have a natural analogue for finitely supported measures. Contrast is drawn with the much larger witnesses required for multisets, as shown by Bárány and Perles.