Question

Uniform convergence of a sequence of functions given as product and convolution.

score 585 · Answer 1 · 2026-04-14 15:25:39

585

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Uniform convergence of a sequence of functions given as product and convolution.

Published on 14 Apr 2026 - 15:25

score 156 · Answer 2 · 2026-04-17 14:59:32

156

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Uniform convergence of the function sequence $f_n(x)=n(f(x+\frac{1}{n})-f(x))$

Published on 17 Apr 2026 - 14:59

score 2.7k · Answer 3 · 2026-04-16 05:33:21

2.7k

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Improper Integral of $f_n$ of a Uniformly Convergent Sequence

Published on 16 Apr 2026 - 5:33

score 45 · Answer 4 · 2026-04-17 12:00:24

45

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Proving that $\frac{nx}{2+n+x}$ converges uniformly on $0 \le x \le 1$

Published on 17 Apr 2026 - 12:00

score 225 · Answer 5 · 2026-04-16 11:47:48

225

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if $f_n(x)$ converges uniformly to a function $f(x)$ does $f_n'(x)$ converge uniformly to $f'(x)$?

Published on 16 Apr 2026 - 11:47

score 38 · Answer 6 · 2026-04-13 16:27:02

38

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Derivative and uniform convergence

Published on 13 Apr 2026 - 16:27

score 75 · Answer 7 · 2026-04-17 05:42:51

75

Views

$\sum \frac{x}{n^{a}(1+nx^{2})}$ converge uniformly in $\mathbb{R}$.

Published on 17 Apr 2026 - 5:42

score 61 · Answer 8 · 2026-04-15 11:50:47

61

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Uniform convergence for particular values of $p$

Published on 15 Apr 2026 - 11:50

score 2.4k · Answer 9 · 2026-04-19 11:27:45

2.4k

Views

Necessary and sufficient condition for uniform convergence.

Published on 19 Apr 2026 - 11:27

score 81 · Answer 10 · 2026-04-15 07:16:56

81

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How to show that $f_{n}(x)=\frac{1}{1+x^{n}}$ converges uniformly to $1$ on $[0,a]$ with $0<a<1$?

Published on 15 Apr 2026 - 7:16

score 45 · Answer 11 · 2026-04-16 20:57:05

45

Views

$f'_n(x)$ is bounded and $f_n(x) \to 0$ for each x, then $f_n(x) \to 0$ uniformly

Published on 16 Apr 2026 - 20:57

score 1k · Answer 12 · 2026-04-13 10:38:52

1k

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Prove this series does not uniformly converge

Published on 13 Apr 2026 - 10:38

score 87 · Answer 13 · 2026-04-12 10:09:53

87

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Convergence of the minima of functionals

Published on 12 Apr 2026 - 10:09

score 197 · Answer 14 · 2026-04-17 00:40:39

197

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Find $\lim_{x\to0}\sum_{n=1}^{\infty}\frac{\sin x}{4+n^2x^2}$

Published on 17 Apr 2026 - 0:40

score 99 · Answer 15 · 2026-04-15 05:57:20

99

Views

Show if these statements about uniform convergence of series are true or false

Published on 15 Apr 2026 - 5:57

List Question

Uniform convergence of a sequence of functions given as product and convolution.

Uniform convergence of the function sequence $f_n(x)=n(f(x+\frac{1}{n})-f(x))$

Improper Integral of $f_n$ of a Uniformly Convergent Sequence

Proving that $\frac{nx}{2+n+x}$ converges uniformly on $0 \le x \le 1$

if $f_n(x)$ converges uniformly to a function $f(x)$ does $f_n'(x)$ converge uniformly to $f'(x)$?

Derivative and uniform convergence

$\sum \frac{x}{n^{a}(1+nx^{2})}$ converge uniformly in $\mathbb{R}$.

Uniform convergence for particular values of $p$

Necessary and sufficient condition for uniform convergence.

How to show that $f_{n}(x)=\frac{1}{1+x^{n}}$ converges uniformly to $1$ on $[0,a]$ with $0<a<1$?

$f'_n(x)$ is bounded and $f_n(x) \to 0$ for each x, then $f_n(x) \to 0$ uniformly

Prove this series does not uniformly converge

Convergence of the minima of functionals

Find $\lim_{x\to0}\sum_{n=1}^{\infty}\frac{\sin x}{4+n^2x^2}$

Show if these statements about uniform convergence of series are true or false

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