Fuctional inequality

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nayel
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Fuctional inequality

Unread post by nayel » Thu Mar 10, 2011 6:21 am

Find all functions $f:\mathbb R \to \mathbb R$ such that $|f(x)-f(y)|\le |x-y|^2$ for all $x,y\in\mathbb R$.
"Everything should be made as simple as possible, but not simpler." - Albert Einstein
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zadid xcalibured
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Re: Fuctional inequality

Unread post by zadid xcalibured » Sat Feb 02, 2013 12:07 am

Telescoping yields an elegant solution. :D
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