Question

Does pointwise convergence on an interval guarantee the percentage of points within epsilon converges to 1?

score 66 · Answer 1 · 2021-08-14 18:46:04

66

Views

Does pointwise convergence on an interval guarantee the percentage of points within epsilon converges to 1?

Published on 14 Aug 2021 - 18:46

score 103 · Answer 2 · 2021-08-16 20:05:48

103

Views

Fourier Series pointwise convergence proof

Published on 16 Aug 2021 - 20:05

score 246 · Answer 3 · 2021-08-17 06:14:31

246

Views

To show a sequence of functions converges almost everywhere

Published on 17 Aug 2021 - 6:14

score 197 · Answer 4 · 2021-08-21 17:07:02

197

Views

Convergence of derivatives a.e. of uniformly Lipschitz functions

Published on 21 Aug 2021 - 17:07

score 89 · Answer 5 · 2021-09-02 18:49:09

89

Views

Exercise regarding pointwise convergence and $L^p$ convergence

Published on 02 Sep 2021 - 18:49

score 70 · Answer 6 · 2021-09-04 15:10:25

70

Views

Does the serie $\sum_{n=1}^{\infty}\frac{n^2}{\sqrt{n!}}(x^n+x^{-n})$ converges for $x\in[\frac{1}{2},2]$?

Published on 04 Sep 2021 - 15:10

score 214 · Answer 7 · 2021-09-11 13:06:36

214

Views

Some questions about separation of variables and convergence in Laplace's equation

Published on 11 Sep 2021 - 13:06

score 71 · Answer 8 · 2026-02-23 21:39:46

71

Views

Pointwise convergence of $F_n(t) = \max_{y \in \mathbb R^N} \int_{B_t(y)} |u_n|^2 \ dx$

Published on 23 Feb 2026 - 21:39

score 200 · Answer 9 · 2021-09-17 13:53:49

200

Views

Pointwise convergence of the gradient

Published on 17 Sep 2021 - 13:53

score 554 · Answer 10 · 2021-09-18 14:06:32

554

Views

Uniform convergence of a series of functions with cos(x)

Published on 18 Sep 2021 - 14:06

score 110 · Answer 11 · 2021-09-29 19:11:27

110

Views

question about existence of function $f:\mathbb{R} \to \mathbb{R}$ such $f$ is not the pointwise limit of a sequence of continuous functions

Published on 29 Sep 2021 - 19:11

score 75 · Answer 12 · 2021-10-09 07:09:14

75

Views

Pointwise a.e. divergence $\sum_{p\in \mathbb{Z}^d} c_p^{(N)} e^{2\pi i p\cdot x}$ with $\lim_{N\rightarrow \infty} \sup_p \vert c_p^{(N)} \vert=0.$

Published on 09 Oct 2021 - 7:09

score 141 · Answer 13 · 2021-10-14 14:21:09

141

Views

Moving a limit inside integral and uniform convergence.

Published on 14 Oct 2021 - 14:21

score 75 · Answer 14 · 2021-10-14 15:41:57

75

Views

Pontwise convergence of indicator functions is the same as the convergence of their sets.

Published on 14 Oct 2021 - 15:41

score 51 · Answer 15 · 2021-10-15 12:19:47

51

Views

If $ \lim_{k\rightarrow+\infty}\int_E \dfrac{f_k(x)}{1+f_k(x)}\mathrm{d}x=0, $ prove that $f_k$ converge to $0$ in measure.

Published on 15 Oct 2021 - 12:19

List Question

Does pointwise convergence on an interval guarantee the percentage of points within epsilon converges to 1?

Fourier Series pointwise convergence proof

To show a sequence of functions converges almost everywhere

Convergence of derivatives a.e. of uniformly Lipschitz functions

Exercise regarding pointwise convergence and $L^p$ convergence

Does the serie $\sum_{n=1}^{\infty}\frac{n^2}{\sqrt{n!}}(x^n+x^{-n})$ converges for $x\in[\frac{1}{2},2]$?

Some questions about separation of variables and convergence in Laplace's equation

Pointwise convergence of $F_n(t) = \max_{y \in \mathbb R^N} \int_{B_t(y)} |u_n|^2 \ dx$

Pointwise convergence of the gradient

Uniform convergence of a series of functions with cos(x)

question about existence of function $f:\mathbb{R} \to \mathbb{R}$ such $f$ is not the pointwise limit of a sequence of continuous functions

Pointwise a.e. divergence $\sum_{p\in \mathbb{Z}^d} c_p^{(N)} e^{2\pi i p\cdot x}$ with $\lim_{N\rightarrow \infty} \sup_p \vert c_p^{(N)} \vert=0.$

Moving a limit inside integral and uniform convergence.

Pontwise convergence of indicator functions is the same as the convergence of their sets.

If $ \lim_{k\rightarrow+\infty}\int_E \dfrac{f_k(x)}{1+f_k(x)}\mathrm{d}x=0, $ prove that $f_k$ converge to $0$ in measure.

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