Question

Meaning of uniform convergence for a one parameter family of functions

score 222 · Answer 1 · 2026-04-13 00:57:16

222

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Meaning of uniform convergence for a one parameter family of functions

Published on 13 Apr 2026 - 0:57

score 30 · Answer 2 · 2015-12-09 21:54:14

30

Views

What is the convergence of the series of $u_n=\frac{1}{(n-1)^\alpha}+\frac{1}{(n+1)^\alpha}-\frac{2}{n^\alpha}$ when $\alpha$ isn't $1$ or $0$?

Published on 09 Dec 2015 - 21:54

score 96 · Answer 3 · 2015-12-10 17:33:18

96

Views

Does the sequence $f_n(x)={1+x^n\over 2+x^n}$ converge uniformly on $[0,1)$?

Published on 10 Dec 2015 - 17:33

score 157 · Answer 4 · 2026-04-12 19:27:35

157

Views

Finding a uniformly convergent subsequence of functions on $[0,1]$.

Published on 12 Apr 2026 - 19:27

score 283 · Answer 5 · 2026-04-12 15:52:18

283

Views

Does $\sum f_n$ converge uniformly on an interval $[a, b]$

Published on 12 Apr 2026 - 15:52

score 96 · Answer 6 · 2026-04-12 13:35:37

96

Views

Show $\sum_{n=1}^\infty \frac{\mathrm{ln}(n)}{n^x}$ is not uniformly convergent on $(1,\infty)$.

Published on 12 Apr 2026 - 13:35

score 594 · Answer 7 · 2026-04-13 10:21:31

594

Views

ELI5: What are pointwise and uniform convergence and what is the difference?

Published on 13 Apr 2026 - 10:21

score 293 · Answer 8 · 2026-04-04 08:48:09

293

Views

Showing there is a subsequence that uniformly converges?

Published on 04 Apr 2026 - 8:48

score 1.7k · Answer 9 · 2015-12-14 02:36:25

1.7k

Views

Prove that $\lim f_n(x_n) = f(x), x_n\rightarrow x,$ then $f_n\rightarrow f$ uniformly on compact

Published on 14 Dec 2015 - 2:36

score 1.1k · Answer 10 · 2026-04-12 13:17:35

1.1k

Views

Prove this sum does not converge uniformly

Published on 12 Apr 2026 - 13:17

score 657 · Answer 11 · 2015-12-16 19:54:33

657

Views

Ensuring uniform convergence to measurable functions by simple functions

Published on 16 Dec 2015 - 19:54

score 140 · Answer 12 · 2015-12-16 20:03:10

140

Views

uniform convergence in individual variables implies uniform convergence in general?

Published on 16 Dec 2015 - 20:03

score 2.1k · Answer 13 · 2026-04-01 18:52:42

2.1k

Views

Uniform boundedness implies equicontinuity on compact domains?

Published on 01 Apr 2026 - 18:52

score 240 · Answer 14 · 2026-04-11 16:18:27

240

Views

When does convergence in quadratic variation imply a uniform convergence or vice versa?

Published on 11 Apr 2026 - 16:18

score 176 · Answer 15 · 2026-04-11 16:54:41

176

Views

How to show that a series is uniformly converging?

Published on 11 Apr 2026 - 16:54

List Question

Meaning of uniform convergence for a one parameter family of functions

What is the convergence of the series of $u_n=\frac{1}{(n-1)^\alpha}+\frac{1}{(n+1)^\alpha}-\frac{2}{n^\alpha}$ when $\alpha$ isn't $1$ or $0$?

Does the sequence $f_n(x)={1+x^n\over 2+x^n}$ converge uniformly on $[0,1)$?

Finding a uniformly convergent subsequence of functions on $[0,1]$.

Does $\sum f_n$ converge uniformly on an interval $[a, b]$

Show $\sum_{n=1}^\infty \frac{\mathrm{ln}(n)}{n^x}$ is not uniformly convergent on $(1,\infty)$.

ELI5: What are pointwise and uniform convergence and what is the difference?

Showing there is a subsequence that uniformly converges?

Prove that $\lim f_n(x_n) = f(x), x_n\rightarrow x,$ then $f_n\rightarrow f$ uniformly on compact

Prove this sum does not converge uniformly

Ensuring uniform convergence to measurable functions by simple functions

uniform convergence in individual variables implies uniform convergence in general?

Uniform boundedness implies equicontinuity on compact domains?

When does convergence in quadratic variation imply a uniform convergence or vice versa?

How to show that a series is uniformly converging?

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