List questions from lipschitz-functions

Published on 26 Mar 2026 - 22:27

183

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A variant of Lipschitz inequality

Published on 01 Apr 2020 - 14:09

52

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Where is the error in the following proof that $f\colon[-1, 1] \to \mathbb{R}$ given by $f(x)= \cos(x)$ is not a contraction.

Published on 07 Apr 2020 - 20:06

73

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Errors in incorrect proof that a function is lipschitz continuous iff it is uniformly continuous.

Published on 07 Apr 2020 - 20:27

274

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A matrix function is Lipschitz

Published on 11 Apr 2020 - 21:55

914

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Mean Value Theorem gives Lipschitz?

Published on 13 Apr 2020 - 13:30

2.4k

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Is the Gaussian density Lipschitz continuous?

Published on 18 Apr 2020 - 1:39

25

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Proving $\sup_{\|z\|_2\leq 1}\|[f(y)-f(y')]z\|_2\leq M \|y-y'\|_2$

Published on 20 Apr 2020 - 10:13

58

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Prove that $\alpha f + \beta g$ is Lipschitz-continuous

Published on 20 Apr 2020 - 19:27

453

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A step in the proof of Characterization of $W^{1,\infty}$

Published on 21 Apr 2020 - 3:58

618

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Convergence of gradient descent without global Lipschitz gradient assumption

Published on 22 Apr 2020 - 18:48

73

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Integral equation has unique solution. Trying to prove Lipschitz continuity?

Published on 27 Apr 2020 - 11:21

45

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Trying to understand proof that continuity of a function is sufficient to show local Lipschitz, and choice of notation for the Jacobian

Published on 28 Apr 2020 - 8:29

206

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Smoothness constant of $f$

Published on 29 Apr 2020 - 18:12

91

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Relationship between a compact space and lipschitz function?

Published on 29 Apr 2020 - 19:15

List Question

Find out whether the following IVP satisfy the Picard-Lindelöf theorem

A variant of Lipschitz inequality

Where is the error in the following proof that $f\colon[-1, 1] \to \mathbb{R}$ given by $f(x)= \cos(x)$ is not a contraction.

Errors in incorrect proof that a function is lipschitz continuous iff it is uniformly continuous.

A matrix function is Lipschitz

Mean Value Theorem gives Lipschitz?

Is the Gaussian density Lipschitz continuous?

Proving $\sup_{\|z\|_2\leq 1}\|[f(y)-f(y')]z\|_2\leq M \|y-y'\|_2$

Prove that $\alpha f + \beta g$ is Lipschitz-continuous

A step in the proof of Characterization of $W^{1,\infty}$

Convergence of gradient descent without global Lipschitz gradient assumption

Integral equation has unique solution. Trying to prove Lipschitz continuity?

Trying to understand proof that continuity of a function is sufficient to show local Lipschitz, and choice of notation for the Jacobian

Smoothness constant of $f$

Relationship between a compact space and lipschitz function?

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