Question

$f:[a,b] \to \mathbb{R}$ lipschitz continuous $\Leftrightarrow$ $\exists \ g:\|g\|_\infty<+\infty$ so that $f(x)=\int_{[a,x]}g \ d \lambda$

score 43 · Answer 1 · 2018-11-11 09:37:04

43

Views

$f:[a,b] \to \mathbb{R}$ lipschitz continuous $\Leftrightarrow$ $\exists \ g:\|g\|_\infty<+\infty$ so that $f(x)=\int_{[a,x]}g \ d \lambda$

Published on 11 Nov 2018 - 9:37

score 311 · Answer 2 · 2018-11-11 16:48:36

311

Views

Determining whether the function is Lipschitz continuous

Published on 11 Nov 2018 - 16:48

score 83 · Answer 3 · 2018-11-12 15:39:07

83

Views

To verify Lipschitz continuity of the given function $f$.

Published on 12 Nov 2018 - 15:39

score 46 · Answer 4 · 2018-11-14 20:36:34

46

Views

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Published on 14 Nov 2018 - 20:36

score 32 · Answer 5 · 2018-11-14 21:18:27

32

Views

Lipschitz Continuity-Function

Published on 14 Nov 2018 - 21:18

score 328 · Answer 6 · 2018-11-17 00:04:03

328

Views

Show that $|f(x)-L|\leq K|x-c| \implies\lim_{x\to c} f(x)=L$

Published on 17 Nov 2018 - 0:04

score 150 · Answer 7 · 2018-11-17 14:04:29

150

Views

Is the unique solution of autonomous ODE infinitely differentiable

Published on 17 Nov 2018 - 14:04

score 54 · Answer 8 · 2018-11-18 16:24:51

54

Views

Picard theorem for $u' = \sqrt{\lvert u^2 -1 \rvert}$ if we know $ u(\pi / 2)= 0$

Published on 18 Nov 2018 - 16:24

score 34 · Answer 9 · 2018-11-18 18:24:16

34

Views

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Published on 18 Nov 2018 - 18:24

score 62 · Answer 10 · 2018-11-19 00:25:06

62

Views

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Published on 19 Nov 2018 - 0:25

score 915 · Answer 11 · 2018-11-22 14:30:26

915

Views

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Published on 22 Nov 2018 - 14:30

score 56 · Answer 12 · 2018-11-23 21:32:11

56

Views

Show $T(x) := x+sf(x)$ is a bijection with $f$ Lipschitz and $\vert s \vert \lt \frac{1}{L}$

Published on 23 Nov 2018 - 21:32

score 494 · Answer 13 · 2018-11-25 10:03:03

494

Views

Multidimensionally Lipschitz continuous iff Lipschitz continuous in every coordinate

Published on 25 Nov 2018 - 10:03

score 5.3k · Answer 14 · 2018-11-25 21:13:53

5.3k

Views

How to show that the natural logarithm is Lipschitz on $[\beta, \infty)$

Published on 25 Nov 2018 - 21:13

score 4.2k · Answer 15 · 2018-11-26 00:48:42

4.2k

Views

Trying to understand Lipschitz condition and some examples

Published on 26 Nov 2018 - 0:48

List Question

$f:[a,b] \to \mathbb{R}$ lipschitz continuous $\Leftrightarrow$ $\exists \ g:\|g\|_\infty<+\infty$ so that $f(x)=\int_{[a,x]}g \ d \lambda$

Determining whether the function is Lipschitz continuous

To verify Lipschitz continuity of the given function $f$.

Lipschitzness of derivatives

Lipschitz Continuity-Function

Show that $|f(x)-L|\leq K|x-c| \implies\lim_{x\to c} f(x)=L$

Is the unique solution of autonomous ODE infinitely differentiable

Picard theorem for $u' = \sqrt{\lvert u^2 -1 \rvert}$ if we know $ u(\pi / 2)= 0$

Lipschitz-Like Condition on Continuously Differentiable, Multivariable Function

Find Lipschtiz constant for a function in matrix

Is this function involving indicator function Lipschitz?

Show $T(x) := x+sf(x)$ is a bijection with $f$ Lipschitz and $\vert s \vert \lt \frac{1}{L}$

Multidimensionally Lipschitz continuous iff Lipschitz continuous in every coordinate

How to show that the natural logarithm is Lipschitz on $[\beta, \infty)$

Trying to understand Lipschitz condition and some examples

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