Question

Infinite products of scaled indicator variables: almost sure convergence vs. uniform convergence of the sample mean

score 101 · Answer 1 · 2026-03-25 12:28:23

101

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Infinite products of scaled indicator variables: almost sure convergence vs. uniform convergence of the sample mean

Published on 25 Mar 2026 - 12:28

score 389 · Answer 2 · 2014-12-19 03:29:05

389

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Convergence of series of $1/n^x$ - pointwise and uniformly,

Published on 19 Dec 2014 - 3:29

score 1.9k · Answer 3 · 2014-12-19 05:22:20

1.9k

Views

Comparison of the consequences of uniform convergence between the real and complex variable cases,

Published on 19 Dec 2014 - 5:22

score 1.6k · Answer 4 · 2014-12-19 11:02:19

1.6k

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Proving the existence of a sequence of polynomials convergent to a continuous function $f$.

Published on 19 Dec 2014 - 11:02

score 1.1k · Answer 5 · 2014-12-22 18:18:07

1.1k

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$(f_n(x))$ converges to a discontinuous function Counterexample

Published on 22 Dec 2014 - 18:18

score 6.3k · Answer 6 · 2026-03-29 03:36:47

6.3k

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Uniform convergence of the sequence $f_n(x)=f(x+1/n)$ for uniformly continuous $f$

Published on 29 Mar 2026 - 3:36

score 184 · Answer 7 · 2015-01-01 23:28:45

184

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Pointwise and Uniform convergence with one-sided limit

Published on 01 Jan 2015 - 23:28

score 54 · Answer 8 · 2019-10-02 08:39:12

54

Views

Prove that $\sin(ne^{-nx}), x\in E=[1;+\infty)$ converges uniformly.

Published on 02 Oct 2019 - 8:39

score 52 · Answer 9 · 2019-10-02 09:49:20

52

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How to show that $f_n(x)=\frac{n}{x}\ln\left(1+\frac{x}{n}\right), x\in E=(0;10)$ converges uniformly?

Published on 02 Oct 2019 - 9:49

score 70 · Answer 10 · 2019-10-02 23:44:34

70

Views

Convergence of the series $\sum_{n=-\infty}^{\infty} \frac{1}{(z-n)^2}$

Published on 02 Oct 2019 - 23:44

score 68 · Answer 11 · 2019-10-03 23:16:11

68

Views

Determine if $f_n(x) = \frac{x}{n^2}$ converges uniformly on $[0,\infty)$

Published on 03 Oct 2019 - 23:16

score 128 · Answer 12 · 2019-10-04 15:30:41

128

Views

Uniform convergence of series: $\sum_{n=1}^{\infty}{2^n\sin\left(\frac{x}{3^n}\right)}$

Published on 04 Oct 2019 - 15:30

score 257 · Answer 13 · 2026-02-23 19:43:35

257

Views

Pointwise convergence is enough for continuity of operators limit, but not of functions

Published on 23 Feb 2026 - 19:43

score 37 · Answer 14 · 2019-10-09 10:32:40

37

Views

Questions about the definition of uniform convergence of a sequence of functions.

Published on 09 Oct 2019 - 10:32

score 94 · Answer 15 · 2019-10-10 02:21:25

94

Views

Extending the interval of uniform convergence to end point

Published on 10 Oct 2019 - 2:21

List Question

Infinite products of scaled indicator variables: almost sure convergence vs. uniform convergence of the sample mean

Convergence of series of $1/n^x$ - pointwise and uniformly,

Comparison of the consequences of uniform convergence between the real and complex variable cases,

Proving the existence of a sequence of polynomials convergent to a continuous function $f$.

$(f_n(x))$ converges to a discontinuous function Counterexample

Uniform convergence of the sequence $f_n(x)=f(x+1/n)$ for uniformly continuous $f$

Pointwise and Uniform convergence with one-sided limit

Prove that $\sin(ne^{-nx}), x\in E=[1;+\infty)$ converges uniformly.

How to show that $f_n(x)=\frac{n}{x}\ln\left(1+\frac{x}{n}\right), x\in E=(0;10)$ converges uniformly?

Convergence of the series $\sum_{n=-\infty}^{\infty} \frac{1}{(z-n)^2}$

Determine if $f_n(x) = \frac{x}{n^2}$ converges uniformly on $[0,\infty)$

Uniform convergence of series: $\sum_{n=1}^{\infty}{2^n\sin\left(\frac{x}{3^n}\right)}$

Pointwise convergence is enough for continuity of operators limit, but not of functions

Questions about the definition of uniform convergence of a sequence of functions.

Extending the interval of uniform convergence to end point

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