Question

A proof involving derivatives of improper integrals of the form $\int_c^\infty f(x,t)dt$

score 66 · Answer 1 · 2020-05-01 15:56:51

66

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A proof involving derivatives of improper integrals of the form $\int_c^\infty f(x,t)dt$

Published on 01 May 2020 - 15:56

score 41 · Answer 2 · 2020-05-01 17:43:37

41

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convergency of a function series

Published on 01 May 2020 - 17:43

score 68 · Answer 3 · 2020-05-02 23:24:13

68

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$f_n\to f$ uniformly if, and only if $M_n\to 0$ when $n\to\infty$

Published on 02 May 2020 - 23:24

score 71 · Answer 4 · 2020-05-03 02:44:44

71

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Showing $\int_{a}^b |f_n(x)| dx \to 0$ as $n \to \infty$

Published on 03 May 2020 - 2:44

score 179 · Answer 5 · 2026-03-26 03:11:31

179

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Convergence of a sequence of fixed points

Published on 26 Mar 2026 - 3:11

score 95 · Answer 6 · 2026-02-24 07:04:10

95

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Is the Weierstrass M-Test an equivalence?

Published on 24 Feb 2026 - 7:04

score 729 · Answer 7 · 2026-03-27 05:34:54

729

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Lipschitz function and uniform convergence

Published on 27 Mar 2026 - 5:34

score 204 · Answer 8 · 2020-05-06 05:49:54

204

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Prove the Uniform Convergence of a Certain Series on Any Compact Subset of C

Published on 06 May 2020 - 5:49

score 58 · Answer 9 · 2020-05-06 16:12:58

58

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About the series $\sum 3^n\sin\big( \frac 1{4^n} x\big)$ on $(a,\infty)$

Published on 06 May 2020 - 16:12

score 79 · Answer 10 · 2020-05-07 07:53:01

79

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$\sum_n f_n$ converges uniformly on $|z|\leq r$ for $r<1$ where $f$ entire, $f_n = f\circ \cdots \circ f$, $f(0) = 0$, $|f'(0)| < 1$, $f(D)\subset D$

Published on 07 May 2020 - 7:53

score 54 · Answer 11 · 2020-05-07 12:11:57

54

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Prove that $\sum\frac{ x^2+n}{x^2+n^3}$ is not uniformly convergent on the domain $\Bbb R$.

Published on 07 May 2020 - 12:11

score 327 · Answer 12 · 2020-05-07 13:32:34

327

Views

Uniform convergence of $\sum \cos^n x \sin x$ on $[0, \pi]$?

Published on 07 May 2020 - 13:32

score 50 · Answer 13 · 2020-05-07 17:39:32

50

Views

Uniform convergence and differentiability (special case)

Published on 07 May 2020 - 17:39

score 52 · Answer 14 · 2026-02-23 04:59:33

52

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Uniform convergence - Is f continuous and is f differentiable $f(x) = \sum_{n=1}^{\infty}\frac{1}{2n^2-\sin(nx)}$

Published on 23 Feb 2026 - 4:59

score 93 · Answer 15 · 2020-05-10 17:06:42

93

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Convergence on every closed subintervals of $(a,b)$ and uniformly bounded partial sums imply uniformly convergence on $[a,b]$?

Published on 10 May 2020 - 17:06

List Question

A proof involving derivatives of improper integrals of the form $\int_c^\infty f(x,t)dt$

convergency of a function series

$f_n\to f$ uniformly if, and only if $M_n\to 0$ when $n\to\infty$

Showing $\int_{a}^b |f_n(x)| dx \to 0$ as $n \to \infty$

Convergence of a sequence of fixed points

Is the Weierstrass M-Test an equivalence?

Lipschitz function and uniform convergence

Prove the Uniform Convergence of a Certain Series on Any Compact Subset of C

About the series $\sum 3^n\sin\big( \frac 1{4^n} x\big)$ on $(a,\infty)$

$\sum_n f_n$ converges uniformly on $|z|\leq r$ for $r<1$ where $f$ entire, $f_n = f\circ \cdots \circ f$, $f(0) = 0$, $|f'(0)| < 1$, $f(D)\subset D$

Prove that $\sum\frac{ x^2+n}{x^2+n^3}$ is not uniformly convergent on the domain $\Bbb R$.

Uniform convergence of $\sum \cos^n x \sin x$ on $[0, \pi]$?

Uniform convergence and differentiability (special case)

Uniform convergence - Is f continuous and is f differentiable $f(x) = \sum_{n=1}^{\infty}\frac{1}{2n^2-\sin(nx)}$

Convergence on every closed subintervals of $(a,b)$ and uniformly bounded partial sums imply uniformly convergence on $[a,b]$?

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