Question

Uniform Convergence of $nx^{2}(1-x)^{n}$ on $[0,1]$

score 848 · Answer 1 · 2015-02-09 05:37:53

848

Views

Uniform Convergence of $nx^{2}(1-x)^{n}$ on $[0,1]$

Published on 09 Feb 2015 - 5:37

score 49 · Answer 2 · 2026-04-09 20:29:18

49

Views

Uniformly continuous implies: the sequence is bounded in some way

Published on 09 Apr 2026 - 20:29

score 358 · Answer 3 · 2026-04-10 15:35:24

358

Views

Convergence of Fourier series for a sum which is not uniform convergent

Published on 10 Apr 2026 - 15:35

score 158 · Answer 4 · 2015-02-12 00:06:57

158

Views

A sequence of functions that converges pointwise on $(0, 1)$ but not uniformly

Published on 12 Feb 2015 - 0:06

score 269 · Answer 5 · 2026-03-28 10:03:57

269

Views

Uniform convergence on a measurable set implies convergence a.e.?

Published on 28 Mar 2026 - 10:03

score 421 · Answer 6 · 2015-02-12 21:57:57

421

Views

Point-wise/Uniform Convergence Proof Help. $f_n : [0,1] \rightarrow \mathbb{R}$ for each $n \in \mathbb{N}$

Published on 12 Feb 2015 - 21:57

score 48 · Answer 7 · 2015-02-13 21:20:42

48

Views

Is this sequence of functions (involving antiderivative and truncations) uniformly convergent?

Published on 13 Feb 2015 - 21:20

score 75 · Answer 8 · 2015-02-14 09:31:29

75

Views

uniform convergences of convex functions

Published on 14 Feb 2015 - 9:31

score 136 · Answer 9 · 2026-04-07 22:59:21

136

Views

For every $z\in \Bbb C$, the exponetial series converges uniformly on every bounded subset of the complex plane

Published on 07 Apr 2026 - 22:59

score 667 · Answer 10 · 2026-04-11 16:53:39

667

Views

When does pointwise convergence on compact space imply uniform convergence?

Published on 11 Apr 2026 - 16:53

score 869 · Answer 11 · 2026-04-01 19:45:18

869

Views

What is the significance of the Uniform Cauchy Criterion vs just being uniformly convergent?

Published on 01 Apr 2026 - 19:45

score 166 · Answer 12 · 2015-02-15 17:27:22

166

Views

Prove that the following series uniformly converges on $[\delta, 1]$ where $0<\delta <1$, but not on $(0,1]$

Published on 15 Feb 2015 - 17:27

score 74 · Answer 13 · 2015-02-15 23:27:23

74

Views

Prove that for real number $r > 0$ the seq of funcs $f_n(x) = \frac{e^x}{1 + n + x^2}$ converges uniformly on $[−r, r]$ to the 0 function.

Published on 15 Feb 2015 - 23:27

score 132 · Answer 14 · 2015-02-16 02:14:38

132

Views

Uniform convergence of series $\sum (-1)^n f_n(x)$

Published on 16 Feb 2015 - 2:14

score 136 · Answer 15 · 2015-02-17 16:06:05

136

Views

Prove that $f_n$ converges uniformly to $f$.

Published on 17 Feb 2015 - 16:06

List Question

Uniform Convergence of $nx^{2}(1-x)^{n}$ on $[0,1]$

Uniformly continuous implies: the sequence is bounded in some way

Convergence of Fourier series for a sum which is not uniform convergent

A sequence of functions that converges pointwise on $(0, 1)$ but not uniformly

Uniform convergence on a measurable set implies convergence a.e.?

Point-wise/Uniform Convergence Proof Help. $f_n : [0,1] \rightarrow \mathbb{R}$ for each $n \in \mathbb{N}$

Is this sequence of functions (involving antiderivative and truncations) uniformly convergent?

uniform convergences of convex functions

For every $z\in \Bbb C$, the exponetial series converges uniformly on every bounded subset of the complex plane

When does pointwise convergence on compact space imply uniform convergence?

What is the significance of the Uniform Cauchy Criterion vs just being uniformly convergent?

Prove that the following series uniformly converges on $[\delta, 1]$ where $0<\delta <1$, but not on $(0,1]$

Prove that for real number $r > 0$ the seq of funcs $f_n(x) = \frac{e^x}{1 + n + x^2}$ converges uniformly on $[−r, r]$ to the 0 function.

Uniform convergence of series $\sum (-1)^n f_n(x)$

Prove that $f_n$ converges uniformly to $f$.

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