Question

Does the sequence of characteristic functions converge uniformly?

score 418 · Answer 1 · 2026-04-13 19:52:26

418

Views

Does the sequence of characteristic functions converge uniformly?

Published on 13 Apr 2026 - 19:52

score 657 · Answer 2 · 2026-04-16 12:03:33

657

Views

Uniform convergence of integral and derivatives of $f_n(x)=\frac{\sin nx}{n}$

Published on 16 Apr 2026 - 12:03

score 41 · Answer 3 · 2026-04-14 14:01:58

41

Views

Convergence of $f_n=(1-x)^n$ on different intervals.

Published on 14 Apr 2026 - 14:01

score 2k · Answer 4 · 2026-04-14 21:51:38

2k

Views

Continuity of sum 1/(n^2-x^2)

Published on 14 Apr 2026 - 21:51

score 56 · Answer 5 · 2026-04-15 20:26:45

56

Views

Prove that the sequence $[f_n]_{n \in N}$, $f_n(x)=\frac{x^{2n}}{1+x^{2n}}$ converges uniformly on $x \in [1+\delta,\infty[$

Published on 15 Apr 2026 - 20:26

score 223 · Answer 6 · 2026-04-16 14:56:38

223

Views

Sequence of funtions $f_n = n(f(x+ \frac{1}{n})-f(x))$ for the continous differentiable function $f$ on $\mathbb R$

Published on 16 Apr 2026 - 14:56

score 236 · Answer 7 · 2026-04-15 02:46:16

236

Views

Prove that the integral of a sequence converges uniformly

Published on 15 Apr 2026 - 2:46

score 93 · Answer 8 · 2026-04-16 02:48:15

93

Views

Is series $\sum_{n=0}^{\infty} \Big(\frac{x}{1-x}\Big)^n \frac1{(1-x)^2}$ uniformly convergent for $x <\frac1{2}$?

Published on 16 Apr 2026 - 2:48

score 946 · Answer 9 · 2026-04-14 02:29:00

946

Views

Uniformly bounded sequence of analytic functions in the unit disk

Published on 14 Apr 2026 - 2:29

score 321 · Answer 10 · 2026-04-16 16:58:43

321

Views

Let $f_n = (\frac{1}{n})\chi_{[0,n]}$ and $f = 0$. Show that $(f_n)$ converges uniformly to $f$.

Published on 16 Apr 2026 - 16:58

score 488 · Answer 11 · 2026-04-13 00:29:23

488

Views

Uniform convergence fourier series |sin(x)|

Published on 13 Apr 2026 - 0:29

score 427 · Answer 12 · 2016-05-19 14:16:30

427

Views

On uniform convergence of bounded slowly varying functions

Published on 19 May 2016 - 14:16

score 119 · Answer 13 · 2026-04-11 02:12:27

119

Views

Condition for term-by-term differentiation of a non-convergent series

Published on 11 Apr 2026 - 2:12

score 93 · Answer 14 · 2026-04-11 22:58:49

93

Views

continuity of function series

Published on 11 Apr 2026 - 22:58

score 381 · Answer 15 · 2026-04-15 03:33:37

381

Views

uniform convergence of an alternating series

Published on 15 Apr 2026 - 3:33

List Question

Does the sequence of characteristic functions converge uniformly?

Uniform convergence of integral and derivatives of $f_n(x)=\frac{\sin nx}{n}$

Convergence of $f_n=(1-x)^n$ on different intervals.

Continuity of sum 1/(n^2-x^2)

Prove that the sequence $[f_n]_{n \in N}$, $f_n(x)=\frac{x^{2n}}{1+x^{2n}}$ converges uniformly on $x \in [1+\delta,\infty[$

Sequence of funtions $f_n = n(f(x+ \frac{1}{n})-f(x))$ for the continous differentiable function $f$ on $\mathbb R$

Prove that the integral of a sequence converges uniformly

Is series $\sum_{n=0}^{\infty} \Big(\frac{x}{1-x}\Big)^n \frac1{(1-x)^2}$ uniformly convergent for $x <\frac1{2}$?

Uniformly bounded sequence of analytic functions in the unit disk

Let $f_n = (\frac{1}{n})\chi_{[0,n]}$ and $f = 0$. Show that $(f_n)$ converges uniformly to $f$.

Uniform convergence fourier series |sin(x)|

On uniform convergence of bounded slowly varying functions

Condition for term-by-term differentiation of a non-convergent series

continuity of function series

uniform convergence of an alternating series

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