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Re: Lipschitz and Locally Lipschitz

Subject: Re: Lipschitz and Locally Lipschitz
From: The World Wide Wade
Date: Fri, 29 Sep 2006 10:22:01 -0700
Newsgroups: sci.math
In article 
<1159542238.788430.263750@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
 "Jason Pawloski" <jpawloski@xxxxxxxxx> wrote:

> Let f:(0,1] -> R be defined as f(x) = 1/x, and g:[-1,1] -> R be defined
> as g(x) = (x)^(1/3). Am I right in saying neither of these functions is
> Lipschitz, f(x) is locally Lipschitz, and g(x) is not even locally
> Lipschitz?

Yes.

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