Question

Uniform convergence of a Fourier series and calculating and infinite series

score 131 · Answer 1 · 2026-04-16 10:56:21

131

Views

Uniform convergence of a Fourier series and calculating and infinite series

Published on 16 Apr 2026 - 10:56

score 91 · Answer 2 · 2026-04-16 05:10:38

91

Views

Show Sequence of Functions Converges Uniformly

Published on 16 Apr 2026 - 5:10

score 75 · Answer 3 · 2026-04-16 09:53:15

75

Views

Find a sequence that converges uniformly with g is differentiable

Published on 16 Apr 2026 - 9:53

score 425 · Answer 4 · 2026-04-12 04:01:23

425

Views

Uniform Convergence of $\sum_{n=1}^{\infty}x^ne^{-nx}$ on $[0,\infty]$

Published on 12 Apr 2026 - 4:01

score 37 · Answer 5 · 2026-04-14 16:02:59

37

Views

Does either/both of the properties $E[M]=mp$ and $M\stackrel{a.s.}{\to}mp$ imply that $E\left[\frac{1}{M}\right]=\frac{1}{mp}$?

Published on 14 Apr 2026 - 16:02

score 50 · Answer 6 · 2026-04-15 05:29:26

50

Views

Is this proof of uniform convergence correct?

Published on 15 Apr 2026 - 5:29

score 35 · Answer 7 · 2026-04-18 11:53:26

35

Views

Uniform convergence in real valued injective functions sequence

Published on 18 Apr 2026 - 11:53

score 33 · Answer 8 · 2026-04-14 15:25:53

33

Views

Uniform Convergence on $[-b,b]$.

Published on 14 Apr 2026 - 15:25

score 181 · Answer 9 · 2026-04-16 10:57:54

181

Views

Prove that $\sum_{n = 1}^\infty \frac{(-1)^n}{\sqrt{n}} \sin(1+\frac{x}{n})$

Published on 16 Apr 2026 - 10:57

score 165 · Answer 10 · 2026-04-16 18:57:10

165

Views

Extension of uniform convergence to the end point points : Series of continuous functions.

Published on 16 Apr 2026 - 18:57

score 23 · Answer 11 · 2026-04-12 18:50:32

23

Views

Interchanging Iterated Limits for a compactly convergent sequence of functions

Published on 12 Apr 2026 - 18:50

score 207 · Answer 12 · 2026-04-15 05:42:14

207

Views

Using properties of Cauchy sequence to prove uniform convergence

Published on 15 Apr 2026 - 5:42

score 90 · Answer 13 · 2026-04-16 20:25:39

90

Views

If there exsits a constant M such that $ \forall x\in [a,b], \forall n\geq 1,|S'_n(x)|\leq M, $ then $\sum_{n=1}^\infty a_n(x)$ converges uniformly.

Published on 16 Apr 2026 - 20:25

score 528 · Answer 14 · 2026-04-16 21:08:22

528

Views

$\{f_n\}$ be a sequence of continuous functions converging pointwise to $0$, show $\lim \int_0^1 f_n dx = 0$

Published on 16 Apr 2026 - 21:08

score 47 · Answer 15 · 2026-04-16 13:16:54

47

Views

Uniform convergence of $\sum\limits_{n=1}^{\infty}\frac{n^{2}x^{2}}{e^{n^{2}|x|}}$

Published on 16 Apr 2026 - 13:16

List Question

Uniform convergence of a Fourier series and calculating and infinite series

Show Sequence of Functions Converges Uniformly

Find a sequence that converges uniformly with g is differentiable

Uniform Convergence of $\sum_{n=1}^{\infty}x^ne^{-nx}$ on $[0,\infty]$

Does either/both of the properties $E[M]=mp$ and $M\stackrel{a.s.}{\to}mp$ imply that $E\left[\frac{1}{M}\right]=\frac{1}{mp}$?

Is this proof of uniform convergence correct?

Uniform convergence in real valued injective functions sequence

Uniform Convergence on $[-b,b]$.

Prove that $\sum_{n = 1}^\infty \frac{(-1)^n}{\sqrt{n}} \sin(1+\frac{x}{n})$

Extension of uniform convergence to the end point points : Series of continuous functions.

Interchanging Iterated Limits for a compactly convergent sequence of functions

Using properties of Cauchy sequence to prove uniform convergence

If there exsits a constant M such that $ \forall x\in [a,b], \forall n\geq 1,|S'_n(x)|\leq M, $ then $\sum_{n=1}^\infty a_n(x)$ converges uniformly.

$\{f_n\}$ be a sequence of continuous functions converging pointwise to $0$, show $\lim \int_0^1 f_n dx = 0$

Uniform convergence of $\sum\limits_{n=1}^{\infty}\frac{n^{2}x^{2}}{e^{n^{2}|x|}}$

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