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An elementary proof of the Ambartzumian–Pleijel identity
Published online by Cambridge University Press: 24 October 2008
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