List questions from pointwise-convergence

Published on 30 Nov 2019 - 4:07

53

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Pointwise limit of a sequence

Published on 01 Dec 2019 - 11:39

95

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When $C(X,Y)$ is connected in the topology of pointwise convergence?

Published on 01 Dec 2019 - 13:48

32

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$f_n \to f$ pointwise implies $f_n$ is bounded

Published on 01 Dec 2019 - 23:28

416

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Proving pointwise convergence of sequence of functions $f_n(x) = ne^{\frac{x}{n}} - n $

Published on 02 Dec 2019 - 9:12

428

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If $f_n \to f$ pointwise on $[a,b]$, then $f$ is integrable on $[a,b]$

Published on 03 Dec 2019 - 14:16

40

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$\lim_{n \to \infty} \int_{a}^{b}|f_n(x)-f(x)|dx = 0$ implies $f_n \to f$ on $[a,b]$

Published on 04 Dec 2019 - 7:09

89

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Does the following sequence of R.V. converge (L^1 and a.s.)

Published on 05 Dec 2019 - 22:38

26

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Question on mode of convergence of sequence of R.V.s

Published on 06 Dec 2019 - 17:27

103

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Does the following sequence converges a.s.?

Published on 07 Dec 2019 - 14:35

28

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A.s. convergence of sequence of r.v.s.

Published on 07 Dec 2019 - 15:18

135

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Convergence in $L^1$ example

Published on 07 Dec 2019 - 20:43

51

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Showing $X_n\to0$ pointwise but $E(X_n)\not\to0$

Published on 08 Dec 2019 - 6:30

66

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Pointwise converging function, with integral divergent

Published on 08 Dec 2019 - 14:42

483

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Find the pointwise limit and the uniform convergence of $f_n(x) = x(1-x^n)$ and $f_n(x) = \frac{nx}{n+2}$

Published on 09 Dec 2019 - 5:30

List Question

Pointwise limit of $f_N(x)=\frac{1}{N(x^2+1)}\cdot\sum_{n=1}^N\cos(nx)$

Pointwise limit of a sequence

When $C(X,Y)$ is connected in the topology of pointwise convergence?

$f_n \to f$ pointwise implies $f_n$ is bounded

Proving pointwise convergence of sequence of functions $f_n(x) = ne^{\frac{x}{n}} - n $

If $f_n \to f$ pointwise on $[a,b]$, then $f$ is integrable on $[a,b]$

$\lim_{n \to \infty} \int_{a}^{b}|f_n(x)-f(x)|dx = 0$ implies $f_n \to f$ on $[a,b]$

Does the following sequence of R.V. converge (L^1 and a.s.)

Question on mode of convergence of sequence of R.V.s

Does the following sequence converges a.s.?

A.s. convergence of sequence of r.v.s.

Convergence in $L^1$ example

Showing $X_n\to0$ pointwise but $E(X_n)\not\to0$

Pointwise converging function, with integral divergent

Find the pointwise limit and the uniform convergence of $f_n(x) = x(1-x^n)$ and $f_n(x) = \frac{nx}{n+2}$

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