Question

Point wise and uniform convergence of sequences of functions

score 38 · Answer 1 · 2022-10-30 17:37:19

38

Views

Point wise and uniform convergence of sequences of functions

Published on 30 Oct 2022 - 17:37

score 52 · Answer 2 · 2022-10-30 20:53:01

52

Views

Uniform convergence of sequence of differentiable functions

Published on 30 Oct 2022 - 20:53

score 40 · Answer 3 · 2022-11-02 16:02:23

40

Views

Interval of pointwise convergence of a function series

Published on 02 Nov 2022 - 16:02

score 72 · Answer 4 · 2022-11-09 23:38:34

72

Views

Is converge pointwise with this property implies uniform convergence?

Published on 09 Nov 2022 - 23:38

score 44 · Answer 5 · 2022-11-10 16:59:06

44

Views

Spivak, Ch. 24, Problem 1a: Does $\sqrt[n]{x}$ converge pointwise to $f(x)=1, x\in (0,1]$, $f(0)=0$ on $(0,1]$ or on $[0,1]$?

Published on 10 Nov 2022 - 16:59

score 108 · Answer 6 · 2022-11-12 12:23:48

108

Views

Let $f_n\to f$ pointwise for measurable functions $f_n$. Is $f$ measurable?

Published on 12 Nov 2022 - 12:23

score 331 · Answer 7 · 2026-02-24 10:18:38

331

Views

$\Gamma$-convergence vs. uniform convergence: conditions for convergence of minimizers of functionals

Published on 24 Feb 2026 - 10:18

score 97 · Answer 8 · 2022-11-17 02:40:48

97

Views

How do we show that $\sin{x}$ is in fact equal to the infinite series $\sum\limits_{n=0}^\infty (-1)^n\frac{x^{2n+1}}{(2n+1)!}$?

Published on 17 Nov 2022 - 2:40

score 70 · Answer 9 · 2022-11-20 10:48:12

70

Views

Interval of convergence of the infinite series $\sum_{n=1}^{\infty} \frac{x^n}{1+x^n}$

Published on 20 Nov 2022 - 10:48

score 65 · Answer 10 · 2022-11-20 16:25:46

65

Views

Finding the interval of convergence of the infinite series $\sum_{n=1}^{\infty}\frac{2^n + x^n}{1+3^n x^n}$

Published on 20 Nov 2022 - 16:25

score 112 · Answer 11 · 2022-11-23 02:39:48

112

Views

If $f_n \to f$ and for every $n > 0$ $f_n$ is uniformly continuous then f is uniformly continuous. Where did my proof fail?

Published on 23 Nov 2022 - 2:39

score 232 · Answer 12 · 2022-11-25 08:08:30

232

Views

intuition for $\lim_{n \to \infty} f_n'(x) \ne f'(x)$ (Tom Apostol's exercise $11.7.18$)

Published on 25 Nov 2022 - 8:08

score 631 · Answer 13 · 2022-12-12 23:02:06

631

Views

If $(f_n)$ converges pointwise to $f$, then $f$ is uniformly continuous

Published on 12 Dec 2022 - 23:02

score 88 · Answer 14 · 2022-12-14 10:07:17

88

Views

Uniform integrability and $L^1$ convergence of $(1/X_n)$

Published on 14 Dec 2022 - 10:07

score 142 · Answer 15 · 2022-12-27 20:14:11

142

Views

Fourier series pointwise convergence

Published on 27 Dec 2022 - 20:14

List Question

Point wise and uniform convergence of sequences of functions

Uniform convergence of sequence of differentiable functions

Interval of pointwise convergence of a function series

Is converge pointwise with this property implies uniform convergence?

Spivak, Ch. 24, Problem 1a: Does $\sqrt[n]{x}$ converge pointwise to $f(x)=1, x\in (0,1]$, $f(0)=0$ on $(0,1]$ or on $[0,1]$?

Let $f_n\to f$ pointwise for measurable functions $f_n$. Is $f$ measurable?

$\Gamma$-convergence vs. uniform convergence: conditions for convergence of minimizers of functionals

How do we show that $\sin{x}$ is in fact equal to the infinite series $\sum\limits_{n=0}^\infty (-1)^n\frac{x^{2n+1}}{(2n+1)!}$?

Interval of convergence of the infinite series $\sum_{n=1}^{\infty} \frac{x^n}{1+x^n}$

Finding the interval of convergence of the infinite series $\sum_{n=1}^{\infty}\frac{2^n + x^n}{1+3^n x^n}$

If $f_n \to f$ and for every $n > 0$ $f_n$ is uniformly continuous then f is uniformly continuous. Where did my proof fail?

intuition for $\lim_{n \to \infty} f_n'(x) \ne f'(x)$ (Tom Apostol's exercise $11.7.18$)

If $(f_n)$ converges pointwise to $f$, then $f$ is uniformly continuous

Uniform integrability and $L^1$ convergence of $(1/X_n)$

Fourier series pointwise convergence

Trending Questions

Popular # Hahtags

Popular Questions