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Hlawka's Inequality


Hlawka's inequality for x,y,z in V in an inner product space V states that

 ||x+y||+||y+z||+||z+x||<=||x||+||y||+||z||+||x+y+z||,

where the norm ||z|| denotes the norm induced by the inner product.


This entry contributed by Rasmus Hedegaard

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Cite this as:

Weisstein, Eric W., with contributions by Rasmus Hedegaard. "Hlawka's Inequality." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HlawkasInequality.html

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