Question

Hölder continuous functions are uniformly continuous

score 3.3k · Answer 1 · 2026-03-22 17:08:29

3.3k

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Hölder continuous functions are uniformly continuous

Published on 22 Mar 2026 - 17:08

score 472 · Answer 2 · 2026-03-22 10:01:36

472

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Is $\ln(x)+1$ contractive?

Published on 22 Mar 2026 - 10:01

score 282 · Answer 3 · 2018-05-01 22:17:03

282

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Finding an $\alpha$-Hölder continuous function $f_{\alpha}$ at $0$, but not $\beta$-Hölder.

Published on 01 May 2018 - 22:17

score 196 · Answer 4 · 2026-03-23 07:28:07

196

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Showing a function is in Holder space for some $a \in (0,1] $

Published on 23 Mar 2026 - 7:28

score 1k · Answer 5 · 2026-03-22 17:08:41

1k

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Hölder continuity of Weierstrass Function

Published on 22 Mar 2026 - 17:08

score 966 · Answer 6 · 2018-05-19 00:12:35

966

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If a function is log-lipschitz, then it is $\alpha$-Hölder for all 0<$\alpha$<1 and isn't Lipschitz continuous

Published on 19 May 2018 - 0:12

score 43 · Answer 7 · 2018-05-22 16:03:34

43

Views

Fréchet space of Hölder continuous differentiable functions

Published on 22 May 2018 - 16:03

score 77 · Answer 8 · 2018-05-24 22:28:53

77

Views

Under which circumstances is the space of Hölder continuous functions a Banach space?

Published on 24 May 2018 - 22:28

score 271 · Answer 9 · 2026-03-17 16:56:45

271

Views

Best regularity for elliptic PDE with Neumann data

Published on 17 Mar 2026 - 16:56

score 103 · Answer 10 · 2018-05-25 13:00:47

Why are in the definition of the Hölder space $C^{k+\gamma}$ only the partial derivatives of order $k$ assumed to be $\gamma$-Hölder continuous?

score 76 · Answer 11 · 2026-03-17 03:20:29

76

Views

Show that the integral of a two-parameter function is Hölder continuous

Published on 17 Mar 2026 - 3:20

score 586 · Answer 12 · 2018-06-06 16:12:46

586

Views

Proof of strict inclusion of Holder continuous spaces

Published on 06 Jun 2018 - 16:12

score 112 · Answer 13 · 2018-06-12 19:42:12

112

Views

Continuity of a Hölder continuous function depending on a temporal parameter

Published on 12 Jun 2018 - 19:42

score 129 · Answer 14 · 2018-06-21 13:18:50

129

Views

If $f$ is Hölder continuous, are we able to conclude that $(t,x)\mapsto\int_0^tf(x+sh)\:{\rm d}s$ is Hölder continuous?

Published on 21 Jun 2018 - 13:18

score 77 · Answer 15 · 2018-06-25 09:38:12

77

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Class of functions that satisfy $\frac{f(x+th)-f(x)}{t^{\alpha}} \to d \text{ as $t \to 0$}$

Published on 25 Jun 2018 - 9:38

List Question

Hölder continuous functions are uniformly continuous

Is $\ln(x)+1$ contractive?

Finding an $\alpha$-Hölder continuous function $f_{\alpha}$ at $0$, but not $\beta$-Hölder.

Showing a function is in Holder space for some $a \in (0,1] $

Hölder continuity of Weierstrass Function

If a function is log-lipschitz, then it is $\alpha$-Hölder for all 0<$\alpha$<1 and isn't Lipschitz continuous

Fréchet space of Hölder continuous differentiable functions

Under which circumstances is the space of Hölder continuous functions a Banach space?

Best regularity for elliptic PDE with Neumann data

Why are in the definition of the Hölder space $C^{k+\gamma}$ only the partial derivatives of order $k$ assumed to be $\gamma$-Hölder continuous?

Show that the integral of a two-parameter function is Hölder continuous

Proof of strict inclusion of Holder continuous spaces

Continuity of a Hölder continuous function depending on a temporal parameter

If $f$ is Hölder continuous, are we able to conclude that $(t,x)\mapsto\int_0^tf(x+sh)\:{\rm d}s$ is Hölder continuous?

Class of functions that satisfy $\frac{f(x+th)-f(x)}{t^{\alpha}} \to d \text{ as $t \to 0$}$

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