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Question about applying Dominated Convergence Theorem

score 83 · Answer 1 · 2026-04-10 22:45:37

83

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Question about applying Dominated Convergence Theorem

Published on 10 Apr 2026 - 22:45

score 107 · Answer 2 · 2026-04-16 15:08:26

107

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Uniform convergence of $\sum_{n=1}^{\infty}(x\cdot\ln x)^n$ for $x\in(0,1]$

Published on 16 Apr 2026 - 15:08

score 43 · Answer 3 · 2026-04-15 05:39:32

43

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Uniform convergence of $\sum_{n=1}^{\infty}(\sum_{k=0}^{m}kn^k)x^n$ $m\in \mathbb{N}$ Some constant

Published on 15 Apr 2026 - 5:39

score 84 · Answer 4 · 2026-04-10 20:46:18

84

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Need help starting a proof about uniform convergence and integration.

Published on 10 Apr 2026 - 20:46

score 116 · Answer 5 · 2026-04-16 13:20:35

116

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Is it true that $ \sum_{i=1}^{\infty}\left(M_{i-2} M_{i}-M_{i-1} M_{i-2}\right)<\infty, \text { a.s? } $

Published on 16 Apr 2026 - 13:20

score 30 · Answer 6 · 2026-04-10 16:26:44

30

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Finding intervals of uniform convergence

Published on 10 Apr 2026 - 16:26

score 66 · Answer 7 · 2026-04-13 00:29:29

66

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Uniform convergence on [a, b] of series of continuous functions implies that series is continuous on (0, b]

Published on 13 Apr 2026 - 0:29

score 79 · Answer 8 · 2026-04-10 23:00:29

79

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Showing that a sequence of compact operators converge uniformly to their pointwise limit

Published on 10 Apr 2026 - 23:00

score 72 · Answer 9 · 2026-04-17 02:35:15

72

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Normality of the sequence of functions $f_n(z) = z^n$

Published on 17 Apr 2026 - 2:35

score 40 · Answer 10 · 2026-04-16 03:48:26

40

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Prove uniform convergence of bounded sequence

Published on 16 Apr 2026 - 3:48

score 121 · Answer 11 · 2026-04-14 08:43:25

121

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If a Fourier series converges uniformly to a limit function, is the limit always the same as the original function?

Published on 14 Apr 2026 - 8:43

score 61 · Answer 12 · 2026-04-21 15:42:57

61

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Is the limit of this sequence Lipschitz-continuous?

Published on 21 Apr 2026 - 15:42

score 78 · Answer 13 · 2026-04-12 14:04:56

78

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Uniform convergence on compact sets when derivatives go to zero

Published on 12 Apr 2026 - 14:04

score 88 · Answer 14 · 2026-04-18 16:20:28

88

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Let $(f_n)$ be a pointwise bounded sequence of l.s.c. convex functions. Then $(f_n)$ has a convergent subsequence

Published on 18 Apr 2026 - 16:20

score 149 · Answer 15 · 2026-04-14 10:20:41

149

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Show that $f_n(x)$ converges uniformly to a continuous function on $[0,1 ]$

Published on 14 Apr 2026 - 10:20

List Question

Question about applying Dominated Convergence Theorem

Uniform convergence of $\sum_{n=1}^{\infty}(x\cdot\ln x)^n$ for $x\in(0,1]$

Uniform convergence of $\sum_{n=1}^{\infty}(\sum_{k=0}^{m}kn^k)x^n$ $m\in \mathbb{N}$ Some constant

Need help starting a proof about uniform convergence and integration.

Is it true that $ \sum_{i=1}^{\infty}\left(M_{i-2} M_{i}-M_{i-1} M_{i-2}\right)<\infty, \text { a.s? } $

Finding intervals of uniform convergence

Uniform convergence on [a, b] of series of continuous functions implies that series is continuous on (0, b]

Showing that a sequence of compact operators converge uniformly to their pointwise limit

Normality of the sequence of functions $f_n(z) = z^n$

Prove uniform convergence of bounded sequence

If a Fourier series converges uniformly to a limit function, is the limit always the same as the original function?

Is the limit of this sequence Lipschitz-continuous?

Uniform convergence on compact sets when derivatives go to zero

Let $(f_n)$ be a pointwise bounded sequence of l.s.c. convex functions. Then $(f_n)$ has a convergent subsequence

Show that $f_n(x)$ converges uniformly to a continuous function on $[0,1 ]$

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