Question

If $\mu$ is $\sigma$ finite and $f_n \rightarrow f$ a.e then $f_n \rightarrow f$ uniformly on each $E_j$

score 546 · Answer 1 · 2015-04-04 03:54:09

546

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If $\mu$ is $\sigma$ finite and $f_n \rightarrow f$ a.e then $f_n \rightarrow f$ uniformly on each $E_j$

Published on 04 Apr 2015 - 3:54

score 305 · Answer 2 · 2015-04-05 16:13:10

305

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Uniform convergence and equicontinuity

Published on 05 Apr 2015 - 16:13

score 148 · Answer 3 · 2015-04-08 19:14:11

148

Views

Is $f(x) = \sum^{\infty}_{n=1} \sqrt{x} e^{-n^2 x}$ continuous?. Where is bluff?

Published on 08 Apr 2015 - 19:14

score 918 · Answer 4 · 2015-04-09 07:00:08

918

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If $\{f_n\}$ converges uniformly and each $f_n$ is bounded, show that $\exists M>0$ s.t. $|f_n(x)| \leq M$

Published on 09 Apr 2015 - 7:00

score 89 · Answer 5 · 2015-04-09 15:25:34

89

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Prove that $f_{n}$ is not uniformly convergent

Published on 09 Apr 2015 - 15:25

score 293 · Answer 6 · 2015-04-12 00:52:00

293

Views

Can a series of polynomials converge non-uniformly?

Published on 12 Apr 2015 - 0:52

score 249 · Answer 7 · 2015-04-14 04:07:24

249

Views

When does $f_n(x) = a_n \times (1 - nx)$ converge uniformly?

Published on 14 Apr 2015 - 4:07

score 1.2k · Answer 8 · 2015-04-14 14:24:52

1.2k

Views

Pointwise convergence implies uniform convergence under concavity?

Published on 14 Apr 2015 - 14:24

score 133 · Answer 9 · 2015-04-16 12:21:33

133

Views

Uniform convergence of $\sum^n_{k=-n} \frac{1}{z+k}$

Published on 16 Apr 2015 - 12:21

score 601 · Answer 10 · 2015-04-19 14:39:21

601

Views

Euler method uniform convergence

Published on 19 Apr 2015 - 14:39

score 319 · Answer 11 · 2015-04-19 17:59:18

319

Views

uniform convergence of subsequences

Published on 19 Apr 2015 - 17:59

score 1.1k · Answer 12 · 2015-04-19 22:52:49

1.1k

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Prove locally uniformly convergence of a sequence

Published on 19 Apr 2015 - 22:52

score 117 · Answer 13 · 2026-04-11 21:18:59

117

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Uniform convergence when no limit function is specified.

Published on 11 Apr 2026 - 21:18

score 358 · Answer 14 · 2026-04-11 23:56:45

358

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How to show this infinite sum converges uniformly?

Published on 11 Apr 2026 - 23:56

score 176 · Answer 15 · 2015-04-21 18:54:19

176

Views

Prob. 6, Sec. 21 in Munkres' TOPOLOGY, 2nd ed: How to show directly that this sequence of functions does not converge uniformly?

Published on 21 Apr 2015 - 18:54

List Question

If $\mu$ is $\sigma$ finite and $f_n \rightarrow f$ a.e then $f_n \rightarrow f$ uniformly on each $E_j$

Uniform convergence and equicontinuity

Is $f(x) = \sum^{\infty}_{n=1} \sqrt{x} e^{-n^2 x}$ continuous?. Where is bluff?

If $\{f_n\}$ converges uniformly and each $f_n$ is bounded, show that $\exists M>0$ s.t. $|f_n(x)| \leq M$

Prove that $f_{n}$ is not uniformly convergent

Can a series of polynomials converge non-uniformly?

When does $f_n(x) = a_n \times (1 - nx)$ converge uniformly?

Pointwise convergence implies uniform convergence under concavity?

Uniform convergence of $\sum^n_{k=-n} \frac{1}{z+k}$

Euler method uniform convergence

uniform convergence of subsequences

Prove locally uniformly convergence of a sequence

Uniform convergence when no limit function is specified.

How to show this infinite sum converges uniformly?

Prob. 6, Sec. 21 in Munkres' TOPOLOGY, 2nd ed: How to show directly that this sequence of functions does not converge uniformly?

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