Question

Weak convergence in $L^2$.

score 642 · Answer 1 · 2026-04-17 10:41:55

642

Views

Weak convergence in $L^2$.

Published on 17 Apr 2026 - 10:41

score 636 · Answer 2 · 2026-04-15 12:22:44

636

Views

Interchanging integral and sum in case of absolute and uniform convergence

Published on 15 Apr 2026 - 12:22

score 46 · Answer 3 · 2026-04-15 23:21:57

46

Views

Prove $g_n(x)=\frac{x}{1+x^n}:[0,\infty)\rightarrow\mathbb{R}$ does not converge uniformly

Published on 15 Apr 2026 - 23:21

score 134 · Answer 4 · 2026-04-13 00:31:01

134

Views

Use continuous limit theorem to prove if $f$ is uniformly differentiable, then $f'$ is uniformly continuous

Published on 13 Apr 2026 - 0:31

score 270 · Answer 5 · 2026-04-15 08:50:59

270

Views

uniform convergence fn to f

Published on 15 Apr 2026 - 8:50

score 65 · Answer 6 · 2026-04-15 22:58:40

65

Views

Determine the sequence of functions is uniformly convergent or not.

Published on 15 Apr 2026 - 22:58

score 533 · Answer 7 · 2026-04-17 09:44:31

533

Views

Determine the sequence of functions $f_n(x)=nx^2e^{-nx}$ is uniformly convergent or not.

Published on 17 Apr 2026 - 9:44

score 61 · Answer 8 · 2026-04-17 19:25:50

61

Views

If $f(x,t)$ is of class $C^1$ then does $f_n(x):=\frac{f(x,t_n)-f(x,t_0)}{t_n-t_0}$ uniformly converge to $\frac{\partial f}{\partial t}(x,t_0)$?

Published on 17 Apr 2026 - 19:25

score 83 · Answer 9 · 2026-04-15 14:08:54

83

Views

For which $\alpha$, the function series $u_{n}(x)=n^{\alpha} \cdot x^{n} \cdot(1-x)$ uniformly converges on $[0,1]$?

Published on 15 Apr 2026 - 14:08

score 82 · Answer 10 · 2026-04-12 14:50:46

82

Views

Convervence in the normed space.

Published on 12 Apr 2026 - 14:50

score 119 · Answer 11 · 2026-04-16 07:30:14

119

Views

If $\sum f_j^2 $ and $\sum g_j^2$ conrverge uniformly, show that $\sum f_j g_j$ converges absolutely and uniformly

Published on 16 Apr 2026 - 7:30

score 141 · Answer 12 · 2026-04-13 19:00:16

141

Views

Pointwise implies Uniform Convergence on infinite subset

Published on 13 Apr 2026 - 19:00

score 188 · Answer 13 · 2026-04-14 06:45:37

188

Views

What effect does uniform convergence of sequences of power series have on the convergence of their coefficients?

Published on 14 Apr 2026 - 6:45

score 1.2k · Answer 14 · 2026-04-17 22:50:07

1.2k

Views

Uniform convergent of $\sum x^n/n$

Published on 17 Apr 2026 - 22:50

score 52 · Answer 15 · 2026-04-13 21:34:35

52

Views

Uniform convergence of some series of functions

Published on 13 Apr 2026 - 21:34

List Question

Weak convergence in $L^2$.

Interchanging integral and sum in case of absolute and uniform convergence

Prove $g_n(x)=\frac{x}{1+x^n}:[0,\infty)\rightarrow\mathbb{R}$ does not converge uniformly

Use continuous limit theorem to prove if $f$ is uniformly differentiable, then $f'$ is uniformly continuous

uniform convergence fn to f

Determine the sequence of functions is uniformly convergent or not.

Determine the sequence of functions $f_n(x)=nx^2e^{-nx}$ is uniformly convergent or not.

If $f(x,t)$ is of class $C^1$ then does $f_n(x):=\frac{f(x,t_n)-f(x,t_0)}{t_n-t_0}$ uniformly converge to $\frac{\partial f}{\partial t}(x,t_0)$?

For which $\alpha$, the function series $u_{n}(x)=n^{\alpha} \cdot x^{n} \cdot(1-x)$ uniformly converges on $[0,1]$?

Convervence in the normed space.

If $\sum f_j^2 $ and $\sum g_j^2$ conrverge uniformly, show that $\sum f_j g_j$ converges absolutely and uniformly

Pointwise implies Uniform Convergence on infinite subset

What effect does uniform convergence of sequences of power series have on the convergence of their coefficients?

Uniform convergent of $\sum x^n/n$

Uniform convergence of some series of functions

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