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An addition to a note of mine

Published online by Cambridge University Press:  17 April 2009

Kurt Mahler
Kurt Mahler
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra, ACT.
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Abstract

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A recent improvement by H. Guggenheimer of the lower bound for the product of the volumes of a pair of polar reciprocal convex bodies is used to replace one of the results of Kurt Mahler, “Polar analogues of two theorems by Minkowski”, Bull. Austral. Math. Soc. 11 (1974), 121–129 by a best possible one. A similar improvement can be made for the other theorems in my note.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 14 , Issue 3 , June 1976 , pp. 397 - 398
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Guggenheinner, H., “Polar reciprocal convex bodies”, Israel J. Math. 14 (1973), 309–316.CrossRefGoogle Scholar
[2]Mahler, Kurt, “Polar analogues of two theorems by Minkowski”, Bull. Austral. Math. Soc. 11 (1974), 121–129.CrossRefGoogle Scholar