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Hlawka's Inequality


Let V be an inner product space and let x,y,z in V. Hlawka's inequality 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:

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

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