List questions from lipschitz-functions

Published on 19 Apr 2019 - 14:35

1.2k

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Why $f(x)=x^2$ is local Lipschitz, general question about local/global Lipschitz.

Published on 24 Apr 2019 - 19:59

417

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Show $f(x)=\frac{x}{1+x^{2}}$ is lipschitz continuous.

Published on 29 Apr 2019 - 13:38

29

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Lipschitz Functions: Basics

Published on 29 Apr 2019 - 14:17

207

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Space of All Smooth Lipschitz Functions

Published on 02 May 2019 - 11:59

586

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Quotient of Lipschitz functions is lipschitz

Published on 02 May 2019 - 20:35

89

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Lipschitz function $f^p$

Published on 02 May 2019 - 22:24

70

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Continuity of map from Lipschitz functions to rough paths

Published on 25 Mar 2026 - 5:15

100

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If $f'$ is Lipschitz continuous with constant $c$, then $f(y)-f(x)-f'(x)(y-x)\ge-\frac c2(y-x)^2$

Published on 04 May 2019 - 8:19

1.2k

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Prove a function is Hölder continuous but not Lipschitz continuous

Published on 25 Mar 2026 - 2:58

1.4k

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Is log-sum-exp a contraction

Published on 25 Mar 2026 - 9:24

720

Views

How to show $\frac{1}{L}\|\nabla f(y)-\nabla f(x)\|_2^2 \leq \langle \nabla f(y) - \nabla f(x) ,y-x \rangle$ for strongly convex function?

Published on 05 May 2019 - 2:34

689

Views

Does the boundary of a level set of a Lipschitz continuous function have Lebesgue measure $0$?

Published on 05 May 2019 - 16:07

657

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Equivalence of statements regarding convex function with Lipschitz continuous gradient

Published on 08 May 2019 - 5:26

1k

Views

What is the intuition behind having upperbound on eigenvalues of Hessian?

Published on 25 Mar 2026 - 12:19

List Question

Continuity and Lipschitz Property of Infimal Convolution

Why $f(x)=x^2$ is local Lipschitz, general question about local/global Lipschitz.

Show $f(x)=\frac{x}{1+x^{2}}$ is lipschitz continuous.

Lipschitz Functions: Basics

Space of All Smooth Lipschitz Functions

Quotient of Lipschitz functions is lipschitz

Lipschitz function $f^p$

Continuity of map from Lipschitz functions to rough paths

If $f'$ is Lipschitz continuous with constant $c$, then $f(y)-f(x)-f'(x)(y-x)\ge-\frac c2(y-x)^2$

Prove a function is Hölder continuous but not Lipschitz continuous

Is log-sum-exp a contraction

How to show $\frac{1}{L}\|\nabla f(y)-\nabla f(x)\|_2^2 \leq \langle \nabla f(y) - \nabla f(x) ,y-x \rangle$ for strongly convex function?

Does the boundary of a level set of a Lipschitz continuous function have Lebesgue measure $0$?

Equivalence of statements regarding convex function with Lipschitz continuous gradient

What is the intuition behind having upperbound on eigenvalues of Hessian?

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