Question

Hölder continuous functions are uniformly continuous

score 3.4k · Answer 1 · 2026-04-11 00:44:22

3.4k

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Hölder continuous functions are uniformly continuous

Published on 11 Apr 2026 - 0:44

score 479 · Answer 2 · 2026-05-10 12:22:07

479

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

Published on 10 May 2026 - 12:22

score 285 · Answer 3 · 2026-04-09 09:23:50

285

Views

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

Published on 09 Apr 2026 - 9:23

score 197 · Answer 4 · 2026-03-24 22:12:47

197

Views

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

Published on 24 Mar 2026 - 22:12

score 1k · Answer 5 · 2026-04-11 14:05:58

1k

Views

Hölder continuity of Weierstrass Function

Published on 11 Apr 2026 - 14:05

score 969 · Answer 6 · 2026-04-15 13:20:59

969

Views

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

Published on 15 Apr 2026 - 13:20

score 46 · Answer 7 · 2026-04-10 23:23:23

46

Views

Fréchet space of Hölder continuous differentiable functions

Published on 10 Apr 2026 - 23:23

score 81 · Answer 8 · 2026-04-15 23:31:11

81

Views

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

Published on 15 Apr 2026 - 23:31

score 274 · Answer 9 · 2026-04-11 17:45:35

274

Views

Best regularity for elliptic PDE with Neumann data

Published on 11 Apr 2026 - 17:45

score 108 · Answer 10 · 2026-04-16 16:42:53

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 82 · Answer 11 · 2026-05-05 14:03:44

82

Views

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

Published on 05 May 2026 - 14:03

score 589 · Answer 12 · 2026-04-09 00:12:59

589

Views

Proof of strict inclusion of Holder continuous spaces

Published on 09 Apr 2026 - 0:12

score 115 · Answer 13 · 2026-04-11 06:58:14

115

Views

Continuity of a Hölder continuous function depending on a temporal parameter

Published on 11 Apr 2026 - 6:58

score 131 · Answer 14 · 2026-04-15 13:24:23

131

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 15 Apr 2026 - 13:24

score 80 · Answer 15 · 2026-04-16 10:57:56

80

Views

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

Published on 16 Apr 2026 - 10:57

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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