Question

Convergence in weighted supremum norm $\implies$ uniform convergence on compact sets?

score 366 · Answer 1 · 2026-04-11 04:57:01

366

Views

Convergence in weighted supremum norm $\implies$ uniform convergence on compact sets?

Published on 11 Apr 2026 - 4:57

score 2.4k · Answer 2 · 2026-04-14 07:11:57

2.4k

Views

$\lim \sup $ : "Infinitely Often" vs "Eventually" statements

Published on 14 Apr 2026 - 7:11

score 443 · Answer 3 · 2026-04-12 03:33:39

443

Views

Show that $f$ is Lipschitz with Lipschitz constant equal to $1$

Published on 12 Apr 2026 - 3:33

score 99 · Answer 4 · 2026-04-11 19:46:34

99

Views

Constructing a divergent sequence

Published on 11 Apr 2026 - 19:46

score 154 · Answer 5 · 2026-04-13 05:40:03

154

Views

Mistake in proof Buck's Advanced Calculus?

Published on 13 Apr 2026 - 5:40

score 728 · Answer 6 · 2026-04-15 05:51:30

728

Views

Right continuity implies continuity on some interval

Published on 15 Apr 2026 - 5:51

score 70 · Answer 7 · 2026-04-17 20:21:35

70

Views

Nowhere Monotonic/ Differentiable function proof

Published on 17 Apr 2026 - 20:21

score 112 · Answer 8 · 2026-04-15 21:08:55

112

Views

Transitive property for uniform convergence?

Published on 15 Apr 2026 - 21:08

score 242 · Answer 9 · 2026-04-13 16:44:43

242

Views

If $f(x)$ is differentiable and $f'(x)$ is bounded, the $f(x)$ is integrable.

Published on 13 Apr 2026 - 16:44

score 58 · Answer 10 · 2026-04-16 07:17:29

58

Views

How to show $f(x)=(1+\ln(x))^2-2x$ has an unique zero analytically

Published on 16 Apr 2026 - 7:17

score 202 · Answer 11 · 2026-04-11 10:41:23

202

Views

A problem on approximation by convolution

Published on 11 Apr 2026 - 10:41

score 104 · Answer 12 · 2026-04-16 03:25:05

104

Views

If $a_{nk} \leqslant n a_k$ for all $k \geqslant 0$ and $n > 0$, does $a_n/n$ converge?

Published on 16 Apr 2026 - 3:25

score 747 · Answer 13 · 2026-04-16 08:42:35

747

Views

Prove that the function $f(x)=\sin\frac{1}{x} \ (x\ne 0); f(0)=0$ is integrable on $[-1,1]$.

Published on 16 Apr 2026 - 8:42

score 86 · Answer 14 · 2026-04-15 05:58:39

86

Views

Show that a step function is uniformly convergent on all compacts

Published on 15 Apr 2026 - 5:58

score 136 · Answer 15 · 2026-04-10 16:46:31

136

Views

Condition about equality between a function and his Fourier series

Published on 10 Apr 2026 - 16:46

List Question

Convergence in weighted supremum norm $\implies$ uniform convergence on compact sets?

$\lim \sup $ : "Infinitely Often" vs "Eventually" statements

Show that $f$ is Lipschitz with Lipschitz constant equal to $1$

Constructing a divergent sequence

Mistake in proof Buck's Advanced Calculus?

Right continuity implies continuity on some interval

Nowhere Monotonic/ Differentiable function proof

Transitive property for uniform convergence?

If $f(x)$ is differentiable and $f'(x)$ is bounded, the $f(x)$ is integrable.

How to show $f(x)=(1+\ln(x))^2-2x$ has an unique zero analytically

A problem on approximation by convolution

If $a_{nk} \leqslant n a_k$ for all $k \geqslant 0$ and $n > 0$, does $a_n/n$ converge?

Prove that the function $f(x)=\sin\frac{1}{x} \ (x\ne 0); f(0)=0$ is integrable on $[-1,1]$.

Show that a step function is uniformly convergent on all compacts

Condition about equality between a function and his Fourier series

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