List questions from lipschitz-functions

Published on 26 Mar 2026 - 12:42

92

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Bound on function increment

Published on 23 Jul 2015 - 16:02

123

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"continuously differentiable $\subseteq$ Lipshitz continuous" with $f(x) = x^2$

Published on 27 Jul 2015 - 15:56

8.4k

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How to show square root of absolute of x, $\sqrt{|x|}$, is not Lipschitz continuous?

Published on 27 Jul 2015 - 17:08

976

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How is Lipschitz continuity for Fréchet derivatives defined?

Published on 29 Jul 2015 - 10:58

456

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Normal curvature of geodesic spheres

Published on 28 Mar 2026 - 2:10

1.7k

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If $f:\mathbb R^n\to\mathbb R$ is twice continuously differentiable, then $\nabla f$ is Lipschitz continuous

Published on 10 Aug 2015 - 13:58

865

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Lipschitz space-filling maps

Published on 28 Mar 2026 - 0:06

1.2k

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A k-lipschitz function

Published on 17 Aug 2015 - 2:52

820

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Prove the following function is Lipschitz with constant less than 1.

Published on 20 Aug 2015 - 12:53

1.1k

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Prove the Lipschitz constant must be less than 1.

Published on 21 Aug 2015 - 9:53

229

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The image of the interval $(a , b)$ under a lipschitz continuous function

Published on 28 Aug 2015 - 2:33

1.8k

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Is $\sqrt{x}$ Lipschitz continuous on $(0,\infty)$?

Published on 02 Sep 2015 - 14:56

878

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Uniform convergence of Lipschitz functions to characteristic function of a compact set

Published on 04 Sep 2015 - 14:17

65

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Let $f(x,y)=2x-4\frac{y}{x}$, $f(0,0)=0$. Show that $f$ is not Lipschitz.

Published on 04 Sep 2015 - 14:55

List Question

Lipschitz maps on locally compact groups

Bound on function increment

"continuously differentiable $\subseteq$ Lipshitz continuous" with $f(x) = x^2$

How to show square root of absolute of x, $\sqrt{|x|}$, is not Lipschitz continuous?

How is Lipschitz continuity for Fréchet derivatives defined?

Normal curvature of geodesic spheres

If $f:\mathbb R^n\to\mathbb R$ is twice continuously differentiable, then $\nabla f$ is Lipschitz continuous

Lipschitz space-filling maps

A k-lipschitz function

Prove the following function is Lipschitz with constant less than 1.

Prove the Lipschitz constant must be less than 1.

The image of the interval $(a , b)$ under a lipschitz continuous function

Is $\sqrt{x}$ Lipschitz continuous on $(0,\infty)$?

Uniform convergence of Lipschitz functions to characteristic function of a compact set

Let $f(x,y)=2x-4\frac{y}{x}$, $f(0,0)=0$. Show that $f$ is not Lipschitz.

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