Question

Applying Arzelá-Ascoli to a family of Hölder continous functions

score 271 · Answer 1 · 2026-02-23 01:23:38

271

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Applying Arzelá-Ascoli to a family of Hölder continous functions

Published on 23 Feb 2026 - 1:23

score 118 · Answer 2 · 2026-02-23 01:20:46

118

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Abstract formulation of the Arzela Ascoli Theorem

Published on 23 Feb 2026 - 1:20

score 946 · Answer 3 · 2026-02-23 01:20:32

946

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Show that $\{f_n\}$ has a uniformly convergent subsequence.

Published on 23 Feb 2026 - 1:20

score 481 · Answer 4 · 2026-02-23 01:23:34

481

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Use of Arzela-Ascoli theorem to ensure that there is a subsequence of a sequence of functions that converges to an infinitely differentiable function.

Published on 23 Feb 2026 - 1:23

score 74 · Answer 5 · 2026-02-23 01:23:46

74

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$M$ equicontinuous and closed set of $C([a,b],\mathbb{R})$. There is $m \geq 0$ such that $|f(a)| \leq m$ $\forall f$. Prove that $M$ is compact

Published on 23 Feb 2026 - 1:23

score 357 · Answer 6 · 2026-04-05 19:49:22

357

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Compactness of sublevels

Published on 05 Apr 2026 - 19:49

score 295 · Answer 7 · 2026-02-23 01:25:06

295

Views

Prove that a sequence contains a uniformly convergent subsequence if the derivatives are bounded by a function

Published on 23 Feb 2026 - 1:25

score 43 · Answer 8 · 2026-02-23 01:23:46

43

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Show that there is $f_{0} \in \overline{\mathcal{F}}$ \such that $J(f_{0}) = \min_{f \in \overline{\mathcal{F}}}J(f)$

Published on 23 Feb 2026 - 1:23

score 344 · Answer 9 · 2026-02-23 01:22:40

344

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Arzelà–Ascoli theorem for the space $C_b^k(\overline{\Omega})$

Published on 23 Feb 2026 - 1:22

score 91 · Answer 10 · 2026-03-22 16:12:28

91

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Question Regarding Proof of Arzela Ascoli.

Published on 22 Mar 2026 - 16:12

score 46 · Answer 11 · 2026-02-23 01:21:09

46

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Show that the sequence $\phi_{n}(t)=\int_{0}^{1}{\sin^{2}(t-ns)g(s)ds}$ has convergent subsequence.

Published on 23 Feb 2026 - 1:21

score 34 · Answer 12 · 2026-02-23 01:22:39

34

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union of finite bounded set and uniformly bounded set is bounded

Published on 23 Feb 2026 - 1:22

score 23 · Answer 13 · 2026-02-23 01:23:36

23

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The union of a sequence of funtions and its convergent point

Published on 23 Feb 2026 - 1:23

score 1.2k · Answer 14 · 2026-03-22 08:10:14

1.2k

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Proof of Arzela's Theorem

Published on 22 Mar 2026 - 8:10

score 210 · Answer 15 · 2026-02-23 01:23:34

210

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An extension of a corollary of the Arzela-Ascoli theorem for smooth functions

Published on 23 Feb 2026 - 1:23

List Question

Applying Arzelá-Ascoli to a family of Hölder continous functions

Abstract formulation of the Arzela Ascoli Theorem

Show that $\{f_n\}$ has a uniformly convergent subsequence.

Use of Arzela-Ascoli theorem to ensure that there is a subsequence of a sequence of functions that converges to an infinitely differentiable function.

$M$ equicontinuous and closed set of $C([a,b],\mathbb{R})$. There is $m \geq 0$ such that $|f(a)| \leq m$ $\forall f$. Prove that $M$ is compact

Compactness of sublevels

Prove that a sequence contains a uniformly convergent subsequence if the derivatives are bounded by a function

Show that there is $f_{0} \in \overline{\mathcal{F}}$ \such that $J(f_{0}) = \min_{f \in \overline{\mathcal{F}}}J(f)$

Arzelà–Ascoli theorem for the space $C_b^k(\overline{\Omega})$

Question Regarding Proof of Arzela Ascoli.

Show that the sequence $\phi_{n}(t)=\int_{0}^{1}{\sin^{2}(t-ns)g(s)ds}$ has convergent subsequence.

union of finite bounded set and uniformly bounded set is bounded

The union of a sequence of funtions and its convergent point

Proof of Arzela's Theorem

An extension of a corollary of the Arzela-Ascoli theorem for smooth functions

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