List questions from pointwise-convergence

Published on 20 May 2020 - 15:15

312

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Dominated Convergence Theorem and Holomorphic Functions

Published on 22 May 2020 - 17:57

115

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Sum converging to an integral - Riemann sum?

Published on 24 May 2020 - 15:21

62

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Prove that $\sum_{n=1}^\infty \frac{1}{n} \sin(\frac{x^2}{n})$ is pointwise convergent for $x \in \mathbb{R}$

Published on 25 May 2020 - 11:06

124

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$f:D\to D$ is analytic then $f^{n_i}(z)$ converges pointwise for all $z$

Published on 28 May 2020 - 1:23

55

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A subsequence of $f^n$ converge pointwise where $f$ is analytic on the unit ball

Published on 28 May 2020 - 2:54

318

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Proof for uniform convergence of sequence of functions

Published on 29 May 2020 - 11:22

114

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Show that there exists a real number $R≥0$ such that, for all $x$, $y\in [0$, $1]$ and all $n \in \mathbb{N}$, $|g_n(x)−g_n(y)|\le R|x−y|$.

Published on 30 May 2020 - 6:36

34

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Find $f(x)$ to which the given sequence of functions converges

Published on 30 May 2020 - 6:53

73

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Is pointwise convergence permutation-invariant?

Published on 30 May 2020 - 18:32

483

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Almost sure convergence of random variables with same mean and the difference goes to zero on the product

Published on 31 May 2020 - 9:20

92

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Uniform Convergence of $\frac{n}{x+n}$

Published on 31 May 2020 - 19:43

164

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Uniform convergence of $x^n$ using the definition

Published on 31 May 2020 - 20:45

38

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Limit of a function for $\epsilon>1$.

Published on 01 Jun 2020 - 7:41

28

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Point-wise convergence of function

Published on 01 Jun 2020 - 18:55

List Question

Convergence of sequence of rv in distribution and pointwise

Dominated Convergence Theorem and Holomorphic Functions

Sum converging to an integral - Riemann sum?

Prove that $\sum_{n=1}^\infty \frac{1}{n} \sin(\frac{x^2}{n})$ is pointwise convergent for $x \in \mathbb{R}$

$f:D\to D$ is analytic then $f^{n_i}(z)$ converges pointwise for all $z$

A subsequence of $f^n$ converge pointwise where $f$ is analytic on the unit ball

Proof for uniform convergence of sequence of functions

Show that there exists a real number $R≥0$ such that, for all $x$, $y\in [0$, $1]$ and all $n \in \mathbb{N}$, $|g_n(x)−g_n(y)|\le R|x−y|$.

Find $f(x)$ to which the given sequence of functions converges

Is pointwise convergence permutation-invariant?

Almost sure convergence of random variables with same mean and the difference goes to zero on the product

Uniform Convergence of $\frac{n}{x+n}$

Uniform convergence of $x^n$ using the definition

Limit of a function for $\epsilon>1$.

Point-wise convergence of function

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