Lipschitz Function

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September 24th 2008, 08:28 PM
rufioxxpunkie

Lipschitz Function

So my prof asked us to prove that f(x)=x2 is Lipschitz on the interval [-N, N] but didn't explain what that even means. Help!
September 24th 2008, 09:08 PM
ThePerfectHacker

Quote:

Originally Posted by rufioxxpunkie

So my prof asked us to prove that f(x)=x2 is Lipschitz on the interval [-N, N] but didn't explain what that even means. Help!

You need to show $|f(x)-f(y)| \leq K|x-y|$ for some $K$ .

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