Question

For which $a\in\mathbb{R}$ is $f: (0,\infty)\to\mathbb{R}$, $f(x)=x^a$ Lipschitz-continuous?

score 250 · Answer 1 · 2018-08-01 02:40:39

250

Views

For which $a\in\mathbb{R}$ is $f: (0,\infty)\to\mathbb{R}$, $f(x)=x^a$ Lipschitz-continuous?

Published on 01 Aug 2018 - 2:40

score 138 · Answer 2 · 2018-08-02 19:14:03

138

Views

Doubt about how to find a Lipschitz constant

Published on 02 Aug 2018 - 19:14

score 98 · Answer 3 · 2018-08-03 04:35:38

98

Views

Intuition behind Lipschitz cutoff functions making a nonlinear term Lipschitz

Published on 03 Aug 2018 - 4:35

score 3.3k · Answer 4 · 2018-08-03 17:39:42

3.3k

Views

Pointwise Convergence of Lipschitz Functions is Uniform

Published on 03 Aug 2018 - 17:39

score 95 · Answer 5 · 2018-08-05 19:23:06

95

Views

Proof explanation: Prove or disprove that $\exists\;K$ such that $|f(x)-f(y)|\leq K|x-y|,\;\;\forall\; x,y\in [0,1]$

Published on 05 Aug 2018 - 19:23

score 328 · Answer 6 · 2026-03-22 11:07:14

328

Views

Does $f(x) = \frac{1}{2}x^TAx$ have an L-Lipschitz continuous gradient

Published on 22 Mar 2026 - 11:07

score 245 · Answer 7 · 2018-08-14 23:54:58

245

Views

Lipschitz Continuity in one variable of a several variable function

Published on 14 Aug 2018 - 23:54

score 210 · Answer 8 · 2026-03-19 14:18:26

210

Views

Regarding convolution of Fejér kernel with a Lipschitz function

Published on 19 Mar 2026 - 14:18

score 349 · Answer 9 · 2018-08-15 18:45:07

349

Views

Proof function mapping from standard normals to standard normal is lipschitz-1

Published on 15 Aug 2018 - 18:45

score 191 · Answer 10 · 2018-08-16 09:59:46

191

Views

Sign change for a continuous Lipschitz function

Published on 16 Aug 2018 - 9:59

score 397 · Answer 11 · 2018-08-16 10:44:50

397

Views

Is the derivative of a nonconstant Lipschitz functions non-zero almost everywhere?

Published on 16 Aug 2018 - 10:44

score 2k · Answer 12 · 2026-03-22 07:38:16

2k

Views

Addition of two L-smooth function is also L-smooth?

Published on 22 Mar 2026 - 7:38

score 2.3k · Answer 13 · 2018-08-22 16:43:54

2.3k

Views

If $f$ is locally Lipschitz, then for any compact set $K$, $f \mid_K$ is globally Lipschitz

Published on 22 Aug 2018 - 16:43

score 156 · Answer 14 · 2018-08-27 08:08:47

156

Views

Lipschitz map from $L^p$ to $L^q$

Published on 27 Aug 2018 - 8:08

score 1k · Answer 15 · 2018-08-28 19:36:41

1k

Views

Bound of derivative of Lipschitz continuous function

Published on 28 Aug 2018 - 19:36

List Question

For which $a\in\mathbb{R}$ is $f: (0,\infty)\to\mathbb{R}$, $f(x)=x^a$ Lipschitz-continuous?

Doubt about how to find a Lipschitz constant

Intuition behind Lipschitz cutoff functions making a nonlinear term Lipschitz

Pointwise Convergence of Lipschitz Functions is Uniform

Proof explanation: Prove or disprove that $\exists\;K$ such that $|f(x)-f(y)|\leq K|x-y|,\;\;\forall\; x,y\in [0,1]$

Does $f(x) = \frac{1}{2}x^TAx$ have an L-Lipschitz continuous gradient

Lipschitz Continuity in one variable of a several variable function

Regarding convolution of Fejér kernel with a Lipschitz function

Proof function mapping from standard normals to standard normal is lipschitz-1

Sign change for a continuous Lipschitz function

Is the derivative of a nonconstant Lipschitz functions non-zero almost everywhere?

Addition of two L-smooth function is also L-smooth?

If $f$ is locally Lipschitz, then for any compact set $K$, $f \mid_K$ is globally Lipschitz

Lipschitz map from $L^p$ to $L^q$

Bound of derivative of Lipschitz continuous function

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