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Volume inequalities using sections of convex sets

Published online by Cambridge University Press:  17 April 2009

Paul R. Scott
Paul R. Scott
Affiliation:
Department of Pure Mathematics, The University of Adelaide, Adelaide SA 5000, Australia
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Abstract

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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.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 43 , Issue 3 , June 1991 , pp. 393 - 397
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), 151–155.Google Scholar
[3]Scott, P.R., ‘Properties of axial diameters’, Bull. Austral. Math. Soc. 39 (1989), 329–333.Google Scholar