Question

Given sequence of $L-$Lipschitz functions which converges pointwise, prove uniform convergence

score 3.7k · Answer 1 · 2017-07-12 17:02:03

3.7k

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Given sequence of $L-$Lipschitz functions which converges pointwise, prove uniform convergence

Published on 12 Jul 2017 - 17:02

score 142 · Answer 2 · 2017-07-16 18:01:16

142

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On limit of point wise convergent sequence of continuous functions on real line

Published on 16 Jul 2017 - 18:01

score 510 · Answer 3 · 2026-02-23 15:48:06

510

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Sequence of differentiable,equicontinuous functions

Published on 23 Feb 2026 - 15:48

score 106 · Answer 4 · 2017-07-21 17:21:05

106

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does the following function converge uniformly?

Published on 21 Jul 2017 - 17:21

score 66 · Answer 5 · 2017-07-22 10:52:04

66

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Uniform convergence on $[1/2,1]$

Published on 22 Jul 2017 - 10:52

score 160 · Answer 6 · 2017-07-22 13:58:26

160

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Check of uniform convergence of a sequence of function

Published on 22 Jul 2017 - 13:58

score 2.9k · Answer 7 · 2017-08-15 23:56:38

2.9k

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Uniform Convergence of $(\sin x)^n$

Published on 15 Aug 2017 - 23:56

score 1.9k · Answer 8 · 2017-08-17 14:06:47

1.9k

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$\epsilon$/3 - Proof for converging sequence of functions

Published on 17 Aug 2017 - 14:06

score 111 · Answer 9 · 2017-08-17 17:11:28

111

Views

Limit of integrals of trigonometric functions

Published on 17 Aug 2017 - 17:11

score 82 · Answer 10 · 2017-08-20 02:23:30

82

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Are there any functions $f:\mathbb{C}\to\mathbb{C}$ whose Taylor series do not exist on $I$ even if $f$ is infinitely differentiable on $I$?

Published on 20 Aug 2017 - 2:23

score 1k · Answer 11 · 2017-08-20 13:15:09

1k

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Study the uniform convergence of $\cos^nx\sin^{2n}x$

Published on 20 Aug 2017 - 13:15

score 112 · Answer 12 · 2017-08-23 21:15:50

112

Views

Example of a sequence of integrable functions on $[0,1]$ s.t. $\lim_{n\to\infty}\int_0^1|f_n(x)|\,dx = 0$ but $f_n$ not converges to $0$ a.e?

Published on 23 Aug 2017 - 21:15

score 65 · Answer 13 · 2017-09-01 18:52:38

65

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What is the meaning and purpose of this theorem of inductive definitions?

Published on 01 Sep 2017 - 18:52

score 81 · Answer 14 · 2017-09-01 20:26:42

81

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Sequence $\{f_n\}$ of non-neg. meas. on [0,1] s.t $f_n \to 0$ a.e but if $[a,b]\subset[0,1]$ then $\lim_{n\to\infty}\int_{a}^{b}f_n(x)dx =(b-a)$

Published on 01 Sep 2017 - 20:26

score 1.8k · Answer 15 · 2017-09-03 15:21:05

1.8k

Views

Linear convergence with Newton method multiple root

Published on 03 Sep 2017 - 15:21

List Question

Given sequence of $L-$Lipschitz functions which converges pointwise, prove uniform convergence

On limit of point wise convergent sequence of continuous functions on real line

Sequence of differentiable,equicontinuous functions

does the following function converge uniformly?

Uniform convergence on $[1/2,1]$

Check of uniform convergence of a sequence of function

Uniform Convergence of $(\sin x)^n$

$\epsilon$/3 - Proof for converging sequence of functions

Limit of integrals of trigonometric functions

Are there any functions $f:\mathbb{C}\to\mathbb{C}$ whose Taylor series do not exist on $I$ even if $f$ is infinitely differentiable on $I$?

Study the uniform convergence of $\cos^nx\sin^{2n}x$

Example of a sequence of integrable functions on $[0,1]$ s.t. $\lim_{n\to\infty}\int_0^1|f_n(x)|\,dx = 0$ but $f_n$ not converges to $0$ a.e?

What is the meaning and purpose of this theorem of inductive definitions?

Sequence $\{f_n\}$ of non-neg. meas. on [0,1] s.t $f_n \to 0$ a.e but if $[a,b]\subset[0,1]$ then $\lim_{n\to\infty}\int_{a}^{b}f_n(x)dx =(b-a)$

Linear convergence with Newton method multiple root

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