Question

Prove that ${f_n}$ converges uniformly to $f:\mathbb{R}→\mathbb{R}$

score 65 · Answer 1 · 2026-04-15 11:38:15

65

Views

Prove that ${f_n}$ converges uniformly to $f:\mathbb{R}→\mathbb{R}$

Published on 15 Apr 2026 - 11:38

score 84 · Answer 2 · 2026-04-09 15:34:55

84

Views

Two questions about function series

Published on 09 Apr 2026 - 15:34

score 181 · Answer 3 · 2026-04-13 19:55:51

181

Views

Uniform convergence to a continuous function

Published on 13 Apr 2026 - 19:55

score 129 · Answer 4 · 2026-04-14 08:19:26

129

Views

Convergence of fixed points as a consequence of pointwise convergence?

Published on 14 Apr 2026 - 8:19

score 150 · Answer 5 · 2026-04-15 01:51:55

150

Views

Uniform convergence implying uniform continuity

Published on 15 Apr 2026 - 1:51

score 110 · Answer 6 · 2026-04-16 18:38:00

110

Views

Limit $\lim_{n \to \infty} \int_{0}^{1} n x^n f(x) dx $

Published on 16 Apr 2026 - 18:38

score 139 · Answer 7 · 2026-04-12 18:47:31

139

Views

Infinite series and uniform convergence

Published on 12 Apr 2026 - 18:47

score 150 · Answer 8 · 2026-04-10 13:57:46

150

Views

Is the following continuously differentiable function uniformly continuous

Published on 10 Apr 2026 - 13:57

score 25 · Answer 9 · 2026-04-13 03:27:46

25

Views

Fixing one variable over boundary and preserving holomorphic-ness on other variable

Published on 13 Apr 2026 - 3:27

score 79 · Answer 10 · 2026-04-15 07:25:43

79

Views

Baire 1 functions are closed under uniform convergence

Published on 15 Apr 2026 - 7:25

score 194 · Answer 11 · 2026-04-14 06:52:43

194

Views

Let $(X, d)$ be a complete metric space without isolated points. If each function continues is uniformly continuous, show that $X$ is compact.

Published on 14 Apr 2026 - 6:52

score 142 · Answer 12 · 2026-04-15 18:31:38

142

Views

Does uniform convergence of a subsequence imply uniform convergence of the sequence? If so, how to show this?

Published on 15 Apr 2026 - 18:31

score 41 · Answer 13 · 2026-04-11 02:26:21

41

Views

How to proof that if a sequence is Cauchy, the sequence of its norms converges?

Published on 11 Apr 2026 - 2:26

score 99 · Answer 14 · 2026-03-26 06:32:32

99

Views

Uniform rate of convergence of $\sum_{k=0}^{n} {2n+1\choose{k}}\left(a^{k+1}(1-a)^{(2n+1)-k}+a^{(2n+1)-k}(1-a)^{k+1}\right)$ to $\min(a,1-a)$

Published on 26 Mar 2026 - 6:32

score 23 · Answer 15 · 2026-04-16 10:57:56

23

Views

Prove that $ \sum\nolimits_{n=1}^{ \infty } u_n(x)$ converges uniformly at $[0,1]$, when $u_n(x) = (-1)^n(1-x)x^n$

Published on 16 Apr 2026 - 10:57

List Question

Prove that ${f_n}$ converges uniformly to $f:\mathbb{R}→\mathbb{R}$

Two questions about function series

Uniform convergence to a continuous function

Convergence of fixed points as a consequence of pointwise convergence?

Uniform convergence implying uniform continuity

Limit $\lim_{n \to \infty} \int_{0}^{1} n x^n f(x) dx $

Infinite series and uniform convergence

Is the following continuously differentiable function uniformly continuous

Fixing one variable over boundary and preserving holomorphic-ness on other variable

Baire 1 functions are closed under uniform convergence

Let $(X, d)$ be a complete metric space without isolated points. If each function continues is uniformly continuous, show that $X$ is compact.

Does uniform convergence of a subsequence imply uniform convergence of the sequence? If so, how to show this?

How to proof that if a sequence is Cauchy, the sequence of its norms converges?

Uniform rate of convergence of $\sum_{k=0}^{n} {2n+1\choose{k}}\left(a^{k+1}(1-a)^{(2n+1)-k}+a^{(2n+1)-k}(1-a)^{k+1}\right)$ to $\min(a,1-a)$

Prove that $ \sum\nolimits_{n=1}^{ \infty } u_n(x)$ converges uniformly at $[0,1]$, when $u_n(x) = (-1)^n(1-x)x^n$

Trending Questions

Popular # Hahtags

Popular Questions