Coverings of Convex Sets and Volume Inequalities |
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| Authors: | B. Carl D. Edmunds |
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| Affiliation: | Fakult?t für Mathematik und Informatik, Universit?t Jena, D-07740 Jena, Germany carl@minet.uni-jena.de, DE
School of Mathematical Sciences, University of Sussex, Brighton, Sussex BN1 9QH, England d.e.edmunds@sussex.ac.uk, UK
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| Abstract: | We give diverse coverings of convex sets and sections of convex sets in R n by balls and cylinder sets, and establish volume inequalities which generalize the famous Santalo and inverse Santalo inequalities. The tools which we use are developed from the viewpoint of geometric and functional analysis. Received May 27, 1998, and in revised form January 25, 1999. |
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