Question

Finding a sequence of polynomials that converges uniformly to a holomorphic function on an open set

score 1k · Answer 1 · 2026-04-11 17:49:10

1k

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Finding a sequence of polynomials that converges uniformly to a holomorphic function on an open set

Published on 11 Apr 2026 - 17:49

score 407 · Answer 2 · 2026-04-16 13:07:12

407

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Assume that the function $f(x)$ is continuous and $\lim_{n\to\infty}f_n(x)=f(x)$. Does this imply that $f_n(x)$ is uniform convergent?

Published on 16 Apr 2026 - 13:07

score 198 · Answer 3 · 2026-04-15 15:47:51

198

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If $\sum|g_n|$ converges, then $\sum |f_ng_n|$ converges

Published on 15 Apr 2026 - 15:47

score 963 · Answer 4 · 2026-04-15 20:25:31

963

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Uniform convergence and negating uniform convergence in logical symbols

Published on 15 Apr 2026 - 20:25

score 1.5k · Answer 5 · 2026-04-11 20:50:14

1.5k

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Complex Analysis Uniform Convergence

Published on 11 Apr 2026 - 20:50

score 1.2k · Answer 6 · 2026-04-15 09:55:21

1.2k

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A sequence of functions which are non-uniformly lipschitz with lipschitz limit

Published on 15 Apr 2026 - 9:55

score 1.3k · Answer 7 · 2026-04-17 00:53:05

1.3k

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Uniform convergence of the sequence of functions $f_n(x) = \frac{x}{1+n^2x^2}$ on the interval $[0,1]$

Published on 17 Apr 2026 - 0:53

score 3.6k · Answer 8 · 2026-04-13 23:57:44

3.6k

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Does $\sum\frac1{n^2}x^n$ represent a continuous functions on $[-1,1]$?

Published on 13 Apr 2026 - 23:57

score 268 · Answer 9 · 2026-04-16 08:47:00

268

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For which intervals on $\Bbb R$ is $\sum_{n=1}^\infty\frac{x^n}{1+x^{2n}}$ uniformly convergent?

Published on 16 Apr 2026 - 8:47

score 335 · Answer 10 · 2013-03-05 17:37:09

335

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Uniform convergence for $\sum_{n=1}^\infty n^\alpha x^{2n} (1-x)^2$

Published on 05 Mar 2013 - 17:37

score 201 · Answer 11 · 2026-04-15 23:41:26

201

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For which $\alpha$ does the series $\sum_{n=1}^\infty n^\alpha x^{2n} (1-x)^2$ converges uniformly at $[0,1]$.

Published on 15 Apr 2026 - 23:41

score 3.6k · Answer 12 · 2026-04-14 16:51:27

3.6k

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When does pointwise convergence on $[a,b]$ imply uniform convergence on $[a,b]$

Published on 14 Apr 2026 - 16:51

score 314 · Answer 13 · 2026-04-16 12:03:20

314

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uniform convergence for $\sum_{n=1}^\infty t^{\alpha}e^{-nt^2}$

Published on 16 Apr 2026 - 12:03

score 1.2k · Answer 14 · 2026-04-14 09:01:04

1.2k

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Uniform convergence of integral on unbounded interval

Published on 14 Apr 2026 - 9:01

score 122 · Answer 15 · 2026-04-17 01:17:56

122

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Determine if $f_n(x)=x^n\sin{(nx)}$ is uniform convergent on the following intervals.

Published on 17 Apr 2026 - 1:17

List Question

Finding a sequence of polynomials that converges uniformly to a holomorphic function on an open set

Assume that the function $f(x)$ is continuous and $\lim_{n\to\infty}f_n(x)=f(x)$. Does this imply that $f_n(x)$ is uniform convergent?

If $\sum|g_n|$ converges, then $\sum |f_ng_n|$ converges

Uniform convergence and negating uniform convergence in logical symbols

Complex Analysis Uniform Convergence

A sequence of functions which are non-uniformly lipschitz with lipschitz limit

Uniform convergence of the sequence of functions $f_n(x) = \frac{x}{1+n^2x^2}$ on the interval $[0,1]$

Does $\sum\frac1{n^2}x^n$ represent a continuous functions on $[-1,1]$?

For which intervals on $\Bbb R$ is $\sum_{n=1}^\infty\frac{x^n}{1+x^{2n}}$ uniformly convergent?

Uniform convergence for $\sum_{n=1}^\infty n^\alpha x^{2n} (1-x)^2$

For which $\alpha$ does the series $\sum_{n=1}^\infty n^\alpha x^{2n} (1-x)^2$ converges uniformly at $[0,1]$.

When does pointwise convergence on $[a,b]$ imply uniform convergence on $[a,b]$

uniform convergence for $\sum_{n=1}^\infty t^{\alpha}e^{-nt^2}$

Uniform convergence of integral on unbounded interval

Determine if $f_n(x)=x^n\sin{(nx)}$ is uniform convergent on the following intervals.

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