Question

Proof of Egorov's theorem

score 423 · Answer 1 · 2014-09-25 05:20:52

423

Views

Proof of Egorov's theorem

Published on 25 Sep 2014 - 5:20

score 86 · Answer 2 · 2014-09-25 20:14:24

86

Views

Bounded variation in the context of Feller's paper on Muntz' Theorem

Published on 25 Sep 2014 - 20:14

score 38 · Answer 3 · 2014-09-30 10:38:31

38

Views

Determine integrals $\int_{\mathbb{R}}u\, \mathrm{d}\delta_{3}$ and $\int_{\mathbb{R}}u\, \mathrm{d}\delta_{\pi}$.

Published on 30 Sep 2014 - 10:38

score 59 · Answer 4 · 2014-09-30 22:18:22

59

Views

Show that $\int_{X}u\, \mathrm{d}\mu\leq 4$ and $\int_{X}u\, \mathrm{d}\mu=1$.

Published on 30 Sep 2014 - 22:18

score 29 · Answer 5 · 2014-10-02 17:57:21

29

Views

Need correction for my "proofs" about the integrable functions.

Published on 02 Oct 2014 - 17:57

score 47 · Answer 6 · 2014-10-03 06:44:22

47

Views

Help understand the motivation behind this proof

Published on 03 Oct 2014 - 6:44

score 57 · Answer 7 · 2014-10-03 10:56:35

57

Views

$\lim_{y\to\infty}\int_{0}^{\infty} (y\cos^2(x/y))/(y+x^4) \, dx$

Published on 03 Oct 2014 - 10:56

score 1k · Answer 8 · 2014-10-04 18:17:11

1k

Views

For a distribution function $F(x)$ and constant $a$, integral of $F(x + a) - F(x)$ is $a$.

Published on 04 Oct 2014 - 18:17

score 509 · Answer 9 · 2014-10-05 19:43:38

509

Views

If $f$ is Lebesgue integrable on [0,1] show $g(x)=\int_{[x,1]} f(t)t^{-1}dt$ is Lebesgue integrable on [0,1]

Published on 05 Oct 2014 - 19:43

score 627 · Answer 10 · 2026-03-25 22:03:22

627

Views

$\sup_{n \geq 0} E[|X_n|\ln(|X_n|)] < \infty$ implies that random variables $X_n$ are uniformly integrable

Published on 25 Mar 2026 - 22:03

score 102 · Answer 11 · 2014-10-05 22:59:10

102

Views

series of the integrals converges then the series converges almost surely

Published on 05 Oct 2014 - 22:59

score 315 · Answer 12 · 2014-10-06 18:27:50

315

Views

Independent integrable random variables with 0 expectation so that $\overline{S}_n$ does not converge to 0 in probability

Published on 06 Oct 2014 - 18:27

score 698 · Answer 13 · 2014-10-06 20:25:17

698

Views

Complex Lebesgue integral, property

Published on 06 Oct 2014 - 20:25

score 39 · Answer 14 · 2014-10-06 23:19:02

39

Views

Finding a bound for the maximum function

Published on 06 Oct 2014 - 23:19

score 397 · Answer 15 · 2014-10-07 10:52:06

397

Views

Equivalence of Lebesgue integral definitions

Published on 07 Oct 2014 - 10:52

List Question

Proof of Egorov's theorem

Bounded variation in the context of Feller's paper on Muntz' Theorem

Determine integrals $\int_{\mathbb{R}}u\, \mathrm{d}\delta_{3}$ and $\int_{\mathbb{R}}u\, \mathrm{d}\delta_{\pi}$.

Show that $\int_{X}u\, \mathrm{d}\mu\leq 4$ and $\int_{X}u\, \mathrm{d}\mu=1$.

Need correction for my "proofs" about the integrable functions.

Help understand the motivation behind this proof

$\lim_{y\to\infty}\int_{0}^{\infty} (y\cos^2(x/y))/(y+x^4) \, dx$

For a distribution function $F(x)$ and constant $a$, integral of $F(x + a) - F(x)$ is $a$.

If $f$ is Lebesgue integrable on [0,1] show $g(x)=\int_{[x,1]} f(t)t^{-1}dt$ is Lebesgue integrable on [0,1]

$\sup_{n \geq 0} E[|X_n|\ln(|X_n|)] < \infty$ implies that random variables $X_n$ are uniformly integrable

series of the integrals converges then the series converges almost surely

Independent integrable random variables with 0 expectation so that $\overline{S}_n$ does not converge to 0 in probability

Complex Lebesgue integral, property

Finding a bound for the maximum function

Equivalence of Lebesgue integral definitions

Trending Questions

Popular # Hahtags

Popular Questions