Question

Uniform convergence as $\epsilon\to 0^+$

score 142 · Answer 1 · 2026-02-23 12:04:02

142

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Uniform convergence as $\epsilon\to 0^+$

Published on 23 Feb 2026 - 12:04

score 633 · Answer 2 · 2019-01-13 11:07:59

633

Views

Show that there exists no sequence of complex polynomials which converges uniformly to $\frac{1}{z^2}$ on the annulus $1<|z|<2$.

Published on 13 Jan 2019 - 11:07

score 44 · Answer 3 · 2026-03-23 11:49:33

44

Views

Pointwise and uniform convergence $\sum_{n=1}^{\infty}\frac{(n+1)^n-n^n}{n!}x^{n^n}$

Published on 23 Mar 2026 - 11:49

score 56 · Answer 4 · 2019-01-18 10:56:19

56

Views

Given pointwise convergence of $f_n \rightarrow f$, does $\lim_{\epsilon \rightarrow 0} f(x+\epsilon) = f(x)$ implies uniform convergence?

Published on 18 Jan 2019 - 10:56

score 1.4k · Answer 5 · 2019-01-18 17:25:11

1.4k

Views

Does pointwise convergence to a continuous function in compact set imply uniform convergence?

Published on 18 Jan 2019 - 17:25

score 173 · Answer 6 · 2019-01-18 22:59:26

173

Views

Techniques for proving non-uniform-convergence of improper integrals

Published on 18 Jan 2019 - 22:59

score 126 · Answer 7 · 2019-01-19 22:01:36

126

Views

Convergence of an exponent function

Published on 19 Jan 2019 - 22:01

score 43 · Answer 8 · 2019-01-21 00:35:05

43

Views

Determining whether the sequence ${f_{n}}$ converges uniformly on the set $A.$

Published on 21 Jan 2019 - 0:35

score 203 · Answer 9 · 2019-01-21 13:37:43

203

Views

A difficulty in understanding the proof of Dini`s theorem.

Published on 21 Jan 2019 - 13:37

score 81 · Answer 10 · 2026-03-23 05:55:02

81

Views

Uniform Convergence of a subsequence over an arbitrary interval

Published on 23 Mar 2026 - 5:55

score 87 · Answer 11 · 2026-02-23 04:55:23

87

Views

Proof of equicontinuity via uniform convergence

Published on 23 Feb 2026 - 4:55

score 99 · Answer 12 · 2026-02-23 12:08:48

99

Views

Uniform convergence of $f_n(x) = \frac{nx}{(2+nx)(4+x^2)}$

Published on 23 Feb 2026 - 12:08

score 970 · Answer 13 · 2026-03-28 20:57:20

970

Views

Weak convergence of sequence in Sobolev space implies uniform convergence

Published on 28 Mar 2026 - 20:57

score 38 · Answer 14 · 2019-01-24 12:49:29

38

Views

Uniform Convergence of $\sum_{n=1}^{\infty}\frac{x}{[(n-1)x+1][nx+1]}$

Published on 24 Jan 2019 - 12:49

score 660 · Answer 15 · 2019-01-25 07:49:48

660

Views

$\sum_{n=1}^{\infty} {2^n}{\sin(\frac{1}{3^nx})}$ is uniformly continuous on the Interval $(1,\infty)$?

Published on 25 Jan 2019 - 7:49

List Question

Uniform convergence as $\epsilon\to 0^+$

Show that there exists no sequence of complex polynomials which converges uniformly to $\frac{1}{z^2}$ on the annulus $1<|z|<2$.

Pointwise and uniform convergence $\sum_{n=1}^{\infty}\frac{(n+1)^n-n^n}{n!}x^{n^n}$

Given pointwise convergence of $f_n \rightarrow f$, does $\lim_{\epsilon \rightarrow 0} f(x+\epsilon) = f(x)$ implies uniform convergence?

Does pointwise convergence to a continuous function in compact set imply uniform convergence?

Techniques for proving non-uniform-convergence of improper integrals

Convergence of an exponent function

Determining whether the sequence ${f_{n}}$ converges uniformly on the set $A.$

A difficulty in understanding the proof of Dini`s theorem.

Uniform Convergence of a subsequence over an arbitrary interval

Proof of equicontinuity via uniform convergence

Uniform convergence of $f_n(x) = \frac{nx}{(2+nx)(4+x^2)}$

Weak convergence of sequence in Sobolev space implies uniform convergence

Uniform Convergence of $\sum_{n=1}^{\infty}\frac{x}{[(n-1)x+1][nx+1]}$

$\sum_{n=1}^{\infty} {2^n}{\sin(\frac{1}{3^nx})}$ is uniformly continuous on the Interval $(1,\infty)$?

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