Question

Conditions for convergence of derivatives from pointwise convergence

score 2.6k · Answer 1 · 2026-04-10 19:35:19

2.6k

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Conditions for convergence of derivatives from pointwise convergence

Published on 10 Apr 2026 - 19:35

score 827 · Answer 2 · 2015-08-28 17:02:43

827

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Check pointwise convergence and uniform convergence of $f_n(x) = n^3x\exp(-nx^2)$ on $[0,1]$

Published on 28 Aug 2015 - 17:02

score 62 · Answer 3 · 2026-04-12 03:04:08

62

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Is this expression for $x\pmod n$ interesting; nontrivial?

Published on 12 Apr 2026 - 3:04

score 172 · Answer 4 · 2015-09-01 00:04:55

172

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Proving uniform convergence on disk within radius of convergence

Published on 01 Sep 2015 - 0:04

score 428 · Answer 5 · 2015-09-01 02:21:51

428

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uniformly convergent sequence of differentiable functions, series of derivative of terms not convergent

Published on 01 Sep 2015 - 2:21

score 65 · Answer 6 · 2026-04-12 20:06:26

65

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Investigating uniform convergence of a sequence

Published on 12 Apr 2026 - 20:06

score 880 · Answer 7 · 2026-04-11 22:12:56

880

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Uniform convergence of Lipschitz functions to characteristic function of a compact set

Published on 11 Apr 2026 - 22:12

score 63 · Answer 8 · 2015-09-06 19:37:01

63

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Is $J(y)= \int_{[1, \infty)} \exp(\frac{-1}{y^2}(x-\frac{1}{y})^2) \, dx$ uniformly convergent on $(0,1)$?

Published on 06 Sep 2015 - 19:37

score 86 · Answer 9 · 2026-04-12 21:33:35

86

Views

Is this sequence of function uniform convergence

Published on 12 Apr 2026 - 21:33

score 266 · Answer 10 · 2015-09-10 20:12:06

Show that for a locally uniformly convergent sequence of functions and a converging sequence of points $f_{n}(x_{n})$ converges to $f(x)$

score 199 · Answer 11 · 2026-04-12 18:21:30

199

Views

Showing this series converges uniformly on $[-1,0]$ but not on $[-1,1)$

Published on 12 Apr 2026 - 18:21

score 394 · Answer 12 · 2015-09-13 20:32:11

394

Views

Show that a sequence has a uniformly convergent subsequence.

Published on 13 Sep 2015 - 20:32

score 40 · Answer 13 · 2015-09-16 21:43:10

40

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If $\lim{f_{n}}=f$ on $\mathcal{C}^{1}([a,b],\mathbb{R})$ means that $f_{n}\to f$ and $f'_{n}\to f$ uniformly

Published on 16 Sep 2015 - 21:43

score 259 · Answer 14 · 2015-09-19 22:25:29

Let topological space $X$ and $f:X \to C$. Show that the space $X_{f}=\{g \in C(X) \mid \sup|g-f|<\infty\}$ is a complete metric space.

score 58 · Answer 15 · 2026-04-12 20:33:23

58

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Show that this power series converges for |x|<2

Published on 12 Apr 2026 - 20:33

List Question

Conditions for convergence of derivatives from pointwise convergence

Check pointwise convergence and uniform convergence of $f_n(x) = n^3x\exp(-nx^2)$ on $[0,1]$

Is this expression for $x\pmod n$ interesting; nontrivial?

Proving uniform convergence on disk within radius of convergence

uniformly convergent sequence of differentiable functions, series of derivative of terms not convergent

Investigating uniform convergence of a sequence

Uniform convergence of Lipschitz functions to characteristic function of a compact set

Is $J(y)= \int_{[1, \infty)} \exp(\frac{-1}{y^2}(x-\frac{1}{y})^2) \, dx$ uniformly convergent on $(0,1)$?

Is this sequence of function uniform convergence

Show that for a locally uniformly convergent sequence of functions and a converging sequence of points $f_{n}(x_{n})$ converges to $f(x)$

Showing this series converges uniformly on $[-1,0]$ but not on $[-1,1)$

Show that a sequence has a uniformly convergent subsequence.

If $\lim{f_{n}}=f$ on $\mathcal{C}^{1}([a,b],\mathbb{R})$ means that $f_{n}\to f$ and $f'_{n}\to f$ uniformly

Let topological space $X$ and $f:X \to C$. Show that the space $X_{f}=\{g \in C(X) \mid \sup|g-f|<\infty\}$ is a complete metric space.

Show that this power series converges for |x|<2

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