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Steinhardt's inequality in the Minkowski plane

Published online by Cambridge University Press:  17 April 2009

Mostafa Ghandehari
Mostafa Ghandehari
Affiliation:
Department of MathematicsNaval Postgraduate School Monterey, CA 93943United States of America
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Abstract

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In a Minkowski plane with unit circle E, the product of the positive circumference of a plane convex body K and that of its polar dual is greater than or equal to the square of the Euclidean length of the polar dual of E. Equality holds if and only if K is a Euclidean unit circle.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 2 , April 1992 , pp. 261 - 266
Copyright
Copyright © Australian Mathematical Society 1992

References

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