Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-25T18:00:43.619Z Has data issue: false hasContentIssue false

Volume inequalities using sections of convex sets

Published online by Cambridge University Press:  17 April 2009

Paul R. Scott
Affiliation:
Department of Pure Mathematics, The University of Adelaide, Adelaide SA 5000, Australia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We give a general result for the lower bound of the volume of a compact convex set K in Ed in terms of the volumes of orthogonal sections of K.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Leichtweiss, K., Konvexe Mengen (Springer, Berlin, 1980).CrossRefGoogle Scholar
[2]Meyer, M., ‘A volume inequality concerning sections of convex sets’, Bull. Lond. Math. Soc. 20 (1988), 151155.Google Scholar
[3]Scott, P.R., ‘Properties of axial diameters’, Bull. Austral. Math. Soc. 39 (1989), 329333.Google Scholar