Question

Finding pointwise function and proving uniform convergence

score 45 · Answer 1 · 2026-04-17 04:46:03

45

Views

Finding pointwise function and proving uniform convergence

Published on 17 Apr 2026 - 4:46

score 59 · Answer 2 · 2026-04-13 03:57:11

59

Views

study the uniform convergence of this sereis of functions:

Published on 13 Apr 2026 - 3:57

score 245 · Answer 3 · 2026-04-13 18:09:15

245

Views

In what set does $\sum_{n=1}^{\infty}\frac{\sin nx}{n^{\alpha}}$ converge uniformly?

Published on 13 Apr 2026 - 18:09

score 51 · Answer 4 · 2026-04-09 13:30:58

51

Views

A pathological partial function with pathological singularities

Published on 09 Apr 2026 - 13:30

score 40 · Answer 5 · 2026-04-17 14:59:27

40

Views

Uniform convergence of $ f_n(x)$ = $ \left(\frac{1-\cos x}{x^{\alpha}}\right)^n $ for $ x \in (0,+\infty) $ and $\alpha >0$

Published on 17 Apr 2026 - 14:59

score 99 · Answer 6 · 2026-04-16 03:39:07

99

Views

Prove that $\{f_n\}$ converges uniformly on $\mathbb{R}$ but $\{f_n^\prime\}$ does not.

Published on 16 Apr 2026 - 3:39

score 150 · Answer 7 · 2026-04-18 04:16:55

150

Views

Question on Stein and Shakarchi's proof of Proposition 2.5 ($f(x-h) \rightarrow f$ in $L^1$ as $h \rightarrow 0$)

Published on 18 Apr 2026 - 4:16

score 51 · Answer 8 · 2026-04-13 10:51:39

51

Views

When are the compact subsets of $C(X, [0,1])$ also sequentially compact?

Published on 13 Apr 2026 - 10:51

score 142 · Answer 9 · 2026-04-15 11:46:01

142

Views

Prove that $x^n \rightarrow 0$ uniformly on $[0,b]$ with $0 < b < 1$, but not uniformly on $[0,1)$

Published on 15 Apr 2026 - 11:46

score 153 · Answer 10 · 2026-04-13 12:27:21

153

Views

When does there exist a subsequence which converges to the Cesaro mean

Published on 13 Apr 2026 - 12:27

score 55 · Answer 11 · 2026-04-12 11:19:39

55

Views

How do I show this sequence converges uniformly?

Published on 12 Apr 2026 - 11:19

score 232 · Answer 12 · 2026-04-12 02:42:12

232

Views

Does uniform convergence imply absolute convergence for Fourier series?

Published on 12 Apr 2026 - 2:42

score 60 · Answer 13 · 2026-04-10 19:55:38

60

Views

Provide a series that converges uniformly, but for which we can't apply Weierstrass M-test

Published on 10 Apr 2026 - 19:55

score 231 · Answer 14 · 2026-04-11 14:57:22

231

Views

How to prove Algebra generated by$\{1,e^{ix}\}$ is dense in $C([0,\pi],\mathbb C)$?

Published on 11 Apr 2026 - 14:57

score 153 · Answer 15 · 2026-04-15 02:54:07

153

Views

Uniform convergence of $\prod\limits_{n=1}^{\infty} \left (1 - \frac {z} {n} \right )$ on compact sets.

Published on 15 Apr 2026 - 2:54

List Question

Finding pointwise function and proving uniform convergence

study the uniform convergence of this sereis of functions:

In what set does $\sum_{n=1}^{\infty}\frac{\sin nx}{n^{\alpha}}$ converge uniformly?

A pathological partial function with pathological singularities

Uniform convergence of $ f_n(x)$ = $ \left(\frac{1-\cos x}{x^{\alpha}}\right)^n $ for $ x \in (0,+\infty) $ and $\alpha >0$

Prove that $\{f_n\}$ converges uniformly on $\mathbb{R}$ but $\{f_n^\prime\}$ does not.

Question on Stein and Shakarchi's proof of Proposition 2.5 ($f(x-h) \rightarrow f$ in $L^1$ as $h \rightarrow 0$)

When are the compact subsets of $C(X, [0,1])$ also sequentially compact?

Prove that $x^n \rightarrow 0$ uniformly on $[0,b]$ with $0 < b < 1$, but not uniformly on $[0,1)$

When does there exist a subsequence which converges to the Cesaro mean

How do I show this sequence converges uniformly?

Does uniform convergence imply absolute convergence for Fourier series?

Provide a series that converges uniformly, but for which we can't apply Weierstrass M-test

How to prove Algebra generated by$\{1,e^{ix}\}$ is dense in $C([0,\pi],\mathbb C)$?

Uniform convergence of $\prod\limits_{n=1}^{\infty} \left (1 - \frac {z} {n} \right )$ on compact sets.

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