Question

Uniform convergence of piecewise defined function

score 99 · Answer 1 · 2020-12-21 21:54:26

99

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Uniform convergence of piecewise defined function

Published on 21 Dec 2020 - 21:54

score 160 · Answer 2 · 2020-12-28 19:10:19

160

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Pointwise Convergence In Integral

Published on 28 Dec 2020 - 19:10

score 421 · Answer 3 · 2020-12-31 23:24:04

421

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If $(f_n):[0, 1] \to [0, 1]$ are continuous and converge to $f$ pointwise, must $f$ be Riemann Integrable?

Published on 31 Dec 2020 - 23:24

score 744 · Answer 4 · 2021-01-07 16:25:33

744

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$(f_n)$ sequence of differentiable functions on $[0,1]$ and converge pointwise to $0$.

Published on 07 Jan 2021 - 16:25

score 44 · Answer 5 · 2021-01-09 15:36:28

44

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Pointwise convergence of $\sum_{n=1}^{\infty} \chi_{\left[n, n+1 / n^{2}\right]}(x)$. Help in understanding solution from the book.

Published on 09 Jan 2021 - 15:36

score 178 · Answer 6 · 2021-01-09 22:38:22

178

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$C^\infty$ $f_n$ converge pointwise $\implies$ f is $C^\infty$

Published on 09 Jan 2021 - 22:38

score 44 · Answer 7 · 2021-01-10 04:56:18

44

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Question on pointwise convergence of Sequence of functions

Published on 10 Jan 2021 - 4:56

score 1.2k · Answer 8 · 2021-01-13 19:45:10

1.2k

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Pointwise and uniform convergence of $f_n(x)=xe^{-nx}$

Published on 13 Jan 2021 - 19:45

score 79 · Answer 9 · 2021-01-14 22:21:33

79

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Check the pointwise and the uniform convergence of $(f_n)_n:D\rightarrow \mathbb{R}$

Published on 14 Jan 2021 - 22:21

score 100 · Answer 10 · 2021-01-15 00:04:26

100

Views

Pointwise and uniform convergence of sum

Published on 15 Jan 2021 - 0:04

score 288 · Answer 11 · 2026-02-24 05:09:31

288

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Can a sequence of probability denisity functions (pdf's) converge to a function which isn't a pdf?

Published on 24 Feb 2026 - 5:09

score 76 · Answer 12 · 2021-01-21 04:22:03

76

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Convergence of sequence of functions $ f_n(x)=\begin{cases} n^{p+1}x & \text{if $0≤x≤1/n$}\\ \frac{1}{x^p} & \text{if $1/n<x≤1$} \end{cases} $

Published on 21 Jan 2021 - 4:22

score 697 · Answer 13 · 2021-01-25 00:56:28

697

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Uniformly Convergent Subsequence of a Pointwise Convergent Sequence of Functions

Published on 25 Jan 2021 - 0:56

score 165 · Answer 14 · 2021-01-25 04:47:39

165

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Will $y=x$ and $y=\sin^n \left(\frac{\pi x}{2} \right)$ meet in the interval $(0,1)$ for all $n \ge 2$?

Published on 25 Jan 2021 - 4:47

score 289 · Answer 15 · 2021-01-26 00:10:12

289

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can someone explain the difference in uniform convergence and pointwise convergence

Published on 26 Jan 2021 - 0:10

List Question

Uniform convergence of piecewise defined function

Pointwise Convergence In Integral

If $(f_n):[0, 1] \to [0, 1]$ are continuous and converge to $f$ pointwise, must $f$ be Riemann Integrable?

$(f_n)$ sequence of differentiable functions on $[0,1]$ and converge pointwise to $0$.

Pointwise convergence of $\sum_{n=1}^{\infty} \chi_{\left[n, n+1 / n^{2}\right]}(x)$. Help in understanding solution from the book.

$C^\infty$ $f_n$ converge pointwise $\implies$ f is $C^\infty$

Question on pointwise convergence of Sequence of functions

Pointwise and uniform convergence of $f_n(x)=xe^{-nx}$

Check the pointwise and the uniform convergence of $(f_n)_n:D\rightarrow \mathbb{R}$

Pointwise and uniform convergence of sum

Can a sequence of probability denisity functions (pdf's) converge to a function which isn't a pdf?

Convergence of sequence of functions $ f_n(x)=\begin{cases} n^{p+1}x & \text{if $0≤x≤1/n$}\\ \frac{1}{x^p} & \text{if $1/n<x≤1$} \end{cases} $

Uniformly Convergent Subsequence of a Pointwise Convergent Sequence of Functions

Will $y=x$ and $y=\sin^n \left(\frac{\pi x}{2} \right)$ meet in the interval $(0,1)$ for all $n \ge 2$?

can someone explain the difference in uniform convergence and pointwise convergence

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