Question

Dirichlet's test for uniform convergence of improper integrals

score 350 · Answer 1 · 2026-04-15 11:52:53

350

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Dirichlet's test for uniform convergence of improper integrals

Published on 15 Apr 2026 - 11:52

score 102 · Answer 2 · 2026-04-14 13:07:02

102

Views

Why is the space of bounded functions complete?

Published on 14 Apr 2026 - 13:07

score 32 · Answer 3 · 2026-04-14 06:57:38

32

Views

Convergence of minimums of a net of functions over a compact

Published on 14 Apr 2026 - 6:57

score 234 · Answer 4 · 2026-04-12 08:32:11

234

Views

Does the strong law of large numbers imply the convergence of moments of multivariate empirical distribution?

Published on 12 Apr 2026 - 8:32

score 1.9k · Answer 5 · 2026-04-17 03:18:19

1.9k

Views

If $f(x+1/n)$ converges to a continuous function $f(x)$ uniformly on $\mathbb{R}$, is $f(x)$ necessarily uniformly continuous?

Published on 17 Apr 2026 - 3:18

score 178 · Answer 6 · 2026-04-16 09:00:42

178

Views

Sample mean converges to 1/2 with error less than 0.01 and probability 0.99

Published on 16 Apr 2026 - 9:00

score 48 · Answer 7 · 2026-04-12 10:23:38

48

Views

Uniform convergence to its integral proof

Published on 12 Apr 2026 - 10:23

score 27 · Answer 8 · 2026-04-15 02:44:24

27

Views

Functions that are uniform limits

Published on 15 Apr 2026 - 2:44

score 46 · Answer 9 · 2026-04-18 12:54:50

46

Views

How to determine $f$ if $f_n(x) = \frac{nx}{1+nx^3} , n=1,2...$ and $f(x)=\lim_{n \to \infty}f_n(x)$?

Published on 18 Apr 2026 - 12:54

score 31 · Answer 10 · 2026-04-10 21:40:41

31

Views

Algebra generated by a function and uniform limits

Published on 10 Apr 2026 - 21:40

score 53 · Answer 11 · 2026-04-17 12:47:32

53

Views

How to see if the convergence is uniform?

Published on 17 Apr 2026 - 12:47

score 96 · Answer 12 · 2026-04-16 00:02:44

96

Views

How do I show that $\int _0^\infty \! \frac{x\cos^3(x)}{t^2+x^2} \, \mathrm{d}x$ converges uniformly for all t > 0?

Published on 16 Apr 2026 - 0:02

score 97 · Answer 13 · 2026-04-16 16:14:27

97

Views

Empirical Risk minimization, symmetrization lemma

Published on 16 Apr 2026 - 16:14

score 111 · Answer 14 · 2026-04-17 10:10:28

111

Views

On what subintervals of $[0,\infty)$ is $f_n(x)=\frac{x^2}{1+x^n}$ uniformly convergent?

Published on 17 Apr 2026 - 10:10

score 62 · Answer 15 · 2026-04-12 23:05:55

62

Views

Why does the interchanging of the limit and the integral not work here? Is it due to not having uniform convergence?

Published on 12 Apr 2026 - 23:05

List Question

Dirichlet's test for uniform convergence of improper integrals

Why is the space of bounded functions complete?

Convergence of minimums of a net of functions over a compact

Does the strong law of large numbers imply the convergence of moments of multivariate empirical distribution?

If $f(x+1/n)$ converges to a continuous function $f(x)$ uniformly on $\mathbb{R}$, is $f(x)$ necessarily uniformly continuous?

Sample mean converges to 1/2 with error less than 0.01 and probability 0.99

Uniform convergence to its integral proof

Functions that are uniform limits

How to determine $f$ if $f_n(x) = \frac{nx}{1+nx^3} , n=1,2...$ and $f(x)=\lim_{n \to \infty}f_n(x)$?

Algebra generated by a function and uniform limits

How to see if the convergence is uniform?

How do I show that $\int _0^\infty \! \frac{x\cos^3(x)}{t^2+x^2} \, \mathrm{d}x$ converges uniformly for all t > 0?

Empirical Risk minimization, symmetrization lemma

On what subintervals of $[0,\infty)$ is $f_n(x)=\frac{x^2}{1+x^n}$ uniformly convergent?

Why does the interchanging of the limit and the integral not work here? Is it due to not having uniform convergence?

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