Question

Uniform convergence check : $f_n\rightrightarrows f$ and $g_n\rightrightarrows g$ then ??

score 481 · Answer 1 · 2026-04-16 06:15:26

481

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Uniform convergence check : $f_n\rightrightarrows f$ and $g_n\rightrightarrows g$ then ??

Published on 16 Apr 2026 - 6:15

score 2.4k · Answer 2 · 2026-04-17 12:29:15

2.4k

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Showing $f_n(x):=\frac{x}{1+n^2x^2}$ uniformly convergent in $\mathbb R$ using $\epsilon-n_0$

Published on 17 Apr 2026 - 12:29

score 9.4k · Answer 3 · 2026-04-16 03:44:55

9.4k

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Is $f_n(x)=n^2x(1-x^2)^n$ uniformly convergent on $[0,1]$?

Published on 16 Apr 2026 - 3:44

score 1.4k · Answer 4 · 2026-04-14 11:41:25

1.4k

Views

How to show $\max\{Y_{1},Y_{2},\cdots,Y_{n}\}$ converges in probability to $\theta$ as $n \to \infty$.

Published on 14 Apr 2026 - 11:41

score 735 · Answer 5 · 2026-04-16 13:16:43

735

Views

Uniform convergence of a sequence of holomorphic polynomials

Published on 16 Apr 2026 - 13:16

score 241 · Answer 6 · 2026-04-15 16:29:52

241

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Prove that $f(x)g(x),f_{n}(x)g(x)$ are improper-integrable on $[0,\infty)$

Published on 15 Apr 2026 - 16:29

score 979 · Answer 7 · 2026-04-16 15:08:42

979

Views

Uniformly convergent subsequence of Equicontinuous R to R functions which are bounded in a point

Published on 16 Apr 2026 - 15:08

score 105 · Answer 8 · 2026-04-14 14:01:26

105

Views

convergence and uniform convergence

Published on 14 Apr 2026 - 14:01

score 255 · Answer 9 · 2026-04-16 03:44:08

255

Views

Uniform convergence,quick proof

Published on 16 Apr 2026 - 3:44

score 2.9k · Answer 10 · 2026-04-15 13:51:45

2.9k

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Theorem 9.5 Cauchy Condition for uniform convergence of series - Math Analysis 2nd ed - Apostol

Published on 15 Apr 2026 - 13:51

score 1.5k · Answer 11 · 2026-04-15 03:27:04

1.5k

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Theorem 9.7 - Uniform convergence and continuity of the limit function - Math Analysis 2nd ed - Apostol

Published on 15 Apr 2026 - 3:27

score 170 · Answer 12 · 2026-04-18 10:24:38

170

Views

Why doesn't the sequence of functions $f_n(x)=\arctan{nx}$ converge uniformly?

Published on 18 Apr 2026 - 10:24

score 364 · Answer 13 · 2026-04-14 02:56:27

364

Views

Why is this Takagi's function continuous?

Published on 14 Apr 2026 - 2:56

score 142 · Answer 14 · 2026-04-12 21:04:22

142

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Uniform convergence problem

Published on 12 Apr 2026 - 21:04

score 125 · Answer 15 · 2026-04-16 23:44:06

125

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Uniform $L^1$ convergence of a double sequence of random variables.

Published on 16 Apr 2026 - 23:44

List Question

Uniform convergence check : $f_n\rightrightarrows f$ and $g_n\rightrightarrows g$ then ??

Showing $f_n(x):=\frac{x}{1+n^2x^2}$ uniformly convergent in $\mathbb R$ using $\epsilon-n_0$

Is $f_n(x)=n^2x(1-x^2)^n$ uniformly convergent on $[0,1]$?

How to show $\max\{Y_{1},Y_{2},\cdots,Y_{n}\}$ converges in probability to $\theta$ as $n \to \infty$.

Uniform convergence of a sequence of holomorphic polynomials

Prove that $f(x)g(x),f_{n}(x)g(x)$ are improper-integrable on $[0,\infty)$

Uniformly convergent subsequence of Equicontinuous R to R functions which are bounded in a point

convergence and uniform convergence

Uniform convergence,quick proof

Theorem 9.5 Cauchy Condition for uniform convergence of series - Math Analysis 2nd ed - Apostol

Theorem 9.7 - Uniform convergence and continuity of the limit function - Math Analysis 2nd ed - Apostol

Why doesn't the sequence of functions $f_n(x)=\arctan{nx}$ converge uniformly?

Why is this Takagi's function continuous?

Uniform convergence problem

Uniform $L^1$ convergence of a double sequence of random variables.

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