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An elementary proof of the Ambartzumian–Pleijel identity

Published online by Cambridge University Press:  24 October 2008

A. J. Cabo
A. J. Cabo
Affiliation:
CWI, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands
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Extract

In [5], Pleijel proved an identity relating the area A of a convex plane domain and the length L of its boundary (of class C1). In particular, it contains the isoperimetric inequality L2 –4πA ≥ 0.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 3 , November 1992 , pp. 535 - 538
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

REFERENCES

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