Question

Uniform convergence of $\sin(nx) \cdot\frac{x}{n} + x$

score 57 · Answer 1 · 2023-07-07 03:57:54

57

Views

Uniform convergence of $\sin(nx) \cdot\frac{x}{n} + x$

Published on 07 Jul 2023 - 3:57

score 103 · Answer 2 · 2023-07-13 11:01:52

103

Views

Monotone convergence theorem on a function of two variables (integrating over one variable)

Published on 13 Jul 2023 - 11:01

score 57 · Answer 3 · 2023-07-26 17:25:11

57

Views

Pointwise convergence of a function where convergence to multiple values occur at a single point

Published on 26 Jul 2023 - 17:25

score 24 · Answer 4 · 2026-02-23 20:23:04

24

Views

Sequences convergence uniform convergence and impact of boundedness of the differentrial

Published on 23 Feb 2026 - 20:23

score 259 · Answer 5 · 2023-08-02 18:02:07

259

Views

Definition of pointwise convergence for a difference scheme (numerical PDEs)

Published on 02 Aug 2023 - 18:02

score 55 · Answer 6 · 2023-08-06 08:40:50

55

Views

Convergence of the perimeter of level sets

Published on 06 Aug 2023 - 8:40

score 51 · Answer 7 · 2023-08-07 23:09:18

51

Views

How to show that $f(x)=x^n$ converges pointwise in domain $D=[0,1)$.

Published on 07 Aug 2023 - 23:09

score 58 · Answer 8 · 2023-08-07 23:10:18

58

Views

How to show that $f(x)=x^n$ does not converge uniformly in domain $D=[0,1)$.

Published on 07 Aug 2023 - 23:10

score 142 · Answer 9 · 2023-08-11 12:32:33

142

Views

CDF of a convergent positive series

Published on 11 Aug 2023 - 12:32

score 32 · Answer 10 · 2023-08-16 08:45:02

32

Views

Almost everywhere convergence in product measure and that in coordinate ones

Published on 16 Aug 2023 - 8:45

score 64 · Answer 11 · 2023-08-18 01:41:55

64

Views

$f_n=\frac{1}{x^{\frac{1}{n}}}$ uniformly converges to 1

Published on 18 Aug 2023 - 1:41

score 61 · Answer 12 · 2023-08-20 12:25:52

61

Views

Weak convergence when different parts of the the support of the distribution "converge at different rates"

Published on 20 Aug 2023 - 12:25

score 21 · Answer 13 · 2023-08-20 14:33:43

21

Views

Weak convergence when different parts of the the support of the distribution "converge at different rates" (Corrected version)

Published on 20 Aug 2023 - 14:33

score 95 · Answer 14 · 2023-08-21 23:34:30

95

Views

Do subdifferentials of a uniformly converging sequence of convex functions converge pointwise?

Published on 21 Aug 2023 - 23:34

score 49 · Answer 15 · 2023-08-22 09:05:05

49

Views

Let $\|f_n-f\|_{L^p_{\text{loc}}} \to 0$. There is a subsequence $(n_k)$ such that $f_{n_k} \xrightarrow{k \to \infty} f$ a.e.

Published on 22 Aug 2023 - 9:05

List Question

Uniform convergence of $\sin(nx) \cdot\frac{x}{n} + x$

Monotone convergence theorem on a function of two variables (integrating over one variable)

Pointwise convergence of a function where convergence to multiple values occur at a single point

Sequences convergence uniform convergence and impact of boundedness of the differentrial

Definition of pointwise convergence for a difference scheme (numerical PDEs)

Convergence of the perimeter of level sets

How to show that $f(x)=x^n$ converges pointwise in domain $D=[0,1)$.

How to show that $f(x)=x^n$ does not converge uniformly in domain $D=[0,1)$.

CDF of a convergent positive series

Almost everywhere convergence in product measure and that in coordinate ones

$f_n=\frac{1}{x^{\frac{1}{n}}}$ uniformly converges to 1

Weak convergence when different parts of the the support of the distribution "converge at different rates"

Weak convergence when different parts of the the support of the distribution "converge at different rates" (Corrected version)

Do subdifferentials of a uniformly converging sequence of convex functions converge pointwise?

Let $\|f_n-f\|_{L^p_{\text{loc}}} \to 0$. There is a subsequence $(n_k)$ such that $f_{n_k} \xrightarrow{k \to \infty} f$ a.e.

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