Question

Rate of convergence of a sequence of integrals

score 81 · Answer 1 · 2020-02-05 16:34:33

81

Views

Rate of convergence of a sequence of integrals

Published on 05 Feb 2020 - 16:34

score 195 · Answer 2 · 2020-02-05 19:53:40

195

Views

Simple convergence and uniform convergence

Published on 05 Feb 2020 - 19:53

score 58 · Answer 3 · 2020-02-05 23:22:29

58

Views

Find where the series $∑^∞_{n=0}(\frac{z}{1+z})^n$ converges uniformly

Published on 05 Feb 2020 - 23:22

score 51 · Answer 4 · 2026-02-24 02:11:30

51

Views

Will we have uniform convergence in this case?

Published on 24 Feb 2026 - 2:11

score 73 · Answer 5 · 2020-02-07 22:22:14

73

Views

uniform convergence of $\sum_{n=1}^{\infty} \frac{n}{e^{nx^2}}$

Published on 07 Feb 2020 - 22:22

score 1.1k · Answer 6 · 2020-02-09 08:02:13

1.1k

Views

Prove that any power series converges uniformly on any compact set inside the circle of convergence.

Published on 09 Feb 2020 - 8:02

score 72 · Answer 7 · 2020-02-10 14:18:35

72

Views

Why does the series $\sum_{n=1}^{\infty} \frac{\sin nx}{n}$ not converge uniformly at a neighbourhood containing $2k\pi$?

Published on 10 Feb 2020 - 14:18

score 66 · Answer 8 · 2020-02-11 21:19:00

66

Views

uniform and pointwise convergence of $\sum_{n=1}^{+\infty} (x+1)^n \log(1+n^x)$

Published on 11 Feb 2020 - 21:19

score 62 · Answer 9 · 2026-02-24 07:17:09

62

Views

which of following are uniformly convergent?

Published on 24 Feb 2026 - 7:17

score 127 · Answer 10 · 2026-02-24 08:54:49

127

Views

Sequence of functions and integral multiple choice question

Published on 24 Feb 2026 - 8:54

score 70 · Answer 11 · 2026-02-24 08:55:21

70

Views

If $f_n(z)$ converges uniformly to $f(z)$ on a compact set $A\subset\mathbb{c}$ can it be proven $|f_n(z)|$ also converges uniformly to $|f(z)|$?

Published on 24 Feb 2026 - 8:55

score 25 · Answer 12 · 2020-02-14 10:55:54

25

Views

Convergence of random variables. A.S, $L_p$, in probability. Uniform.

Published on 14 Feb 2020 - 10:55

score 132 · Answer 13 · 2020-02-14 17:50:46

132

Views

Show that fn → f uniformly on X as n → ∞ if and only if for every sequence xn in X we have dY (fn(xn), f(xn)) → 0 as n → ∞.

Published on 14 Feb 2020 - 17:50

score 899 · Answer 14 · 2026-03-28 11:34:09

899

Views

Example of a sequence of $f_n$ converging to $f$ pointwise but not uniformly and its relation with completeness

Published on 28 Mar 2026 - 11:34

score 126 · Answer 15 · 2020-02-15 20:23:59

126

Views

Uniform Convergence of a Pathological Function

Published on 15 Feb 2020 - 20:23

List Question

Rate of convergence of a sequence of integrals

Simple convergence and uniform convergence

Find where the series $∑^∞_{n=0}(\frac{z}{1+z})^n$ converges uniformly

Will we have uniform convergence in this case?

uniform convergence of $\sum_{n=1}^{\infty} \frac{n}{e^{nx^2}}$

Prove that any power series converges uniformly on any compact set inside the circle of convergence.

Why does the series $\sum_{n=1}^{\infty} \frac{\sin nx}{n}$ not converge uniformly at a neighbourhood containing $2k\pi$?

uniform and pointwise convergence of $\sum_{n=1}^{+\infty} (x+1)^n \log(1+n^x)$

which of following are uniformly convergent?

Sequence of functions and integral multiple choice question

If $f_n(z)$ converges uniformly to $f(z)$ on a compact set $A\subset\mathbb{c}$ can it be proven $|f_n(z)|$ also converges uniformly to $|f(z)|$?

Convergence of random variables. A.S, $L_p$, in probability. Uniform.

Show that fn → f uniformly on X as n → ∞ if and only if for every sequence xn in X we have dY (fn(xn), f(xn)) → 0 as n → ∞.

Example of a sequence of $f_n$ converging to $f$ pointwise but not uniformly and its relation with completeness

Uniform Convergence of a Pathological Function

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