Question

Applying Arzelá-Ascoli to a family of Hölder continous functions

score 270 · Answer 1 · 2018-06-21 11:46:30

270

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Applying Arzelá-Ascoli to a family of Hölder continous functions

Published on 21 Jun 2018 - 11:46

score 117 · Answer 2 · 2018-07-09 21:50:47

117

Views

Abstract formulation of the Arzela Ascoli Theorem

Published on 09 Jul 2018 - 21:50

score 945 · Answer 3 · 2018-07-18 14:23:05

945

Views

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

Published on 18 Jul 2018 - 14:23

score 480 · Answer 4 · 2018-07-30 01:38:05

480

Views

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 30 Jul 2018 - 1:38

score 73 · Answer 5 · 2018-08-05 18:43:25

73

Views

$M$ 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 05 Aug 2018 - 18:43

score 354 · Answer 6 · 2018-08-08 17:36:33

354

Views

Compactness of sublevels

Published on 08 Aug 2018 - 17:36

score 294 · Answer 7 · 2018-08-11 18:23:23

294

Views

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

Published on 11 Aug 2018 - 18:23

score 42 · Answer 8 · 2018-08-14 03:28:08

42

Views

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 14 Aug 2018 - 3:28

score 343 · Answer 9 · 2018-09-02 23:56:14

343

Views

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

Published on 02 Sep 2018 - 23:56

score 89 · Answer 10 · 2018-10-03 13:05:30

89

Views

Question Regarding Proof of Arzela Ascoli.

Published on 03 Oct 2018 - 13:05

score 45 · Answer 11 · 2018-10-09 00:42:07

45

Views

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

Published on 09 Oct 2018 - 0:42

score 33 · Answer 12 · 2018-12-08 04:11:19

33

Views

union of finite bounded set and uniformly bounded set is bounded

Published on 08 Dec 2018 - 4:11

score 22 · Answer 13 · 2018-12-08 04:43:44

22

Views

The union of a sequence of funtions and its convergent point

Published on 08 Dec 2018 - 4:43

score 1.2k · Answer 14 · 2018-12-09 00:50:38

1.2k

Views

Proof of Arzela's Theorem

Published on 09 Dec 2018 - 0:50

score 209 · Answer 15 · 2018-12-20 19:40:05

209

Views

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

Published on 20 Dec 2018 - 19:40

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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