Question

Showing for a lebesgue integrable r.v. that a sum of the probability of this r.v. is finite

score 51 · Answer 1 · 2020-03-28 09:55:06

51

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Showing for a lebesgue integrable r.v. that a sum of the probability of this r.v. is finite

Published on 28 Mar 2020 - 9:55

score 175 · Answer 2 · 2026-03-29 23:29:14

175

Views

Given a measure on a measurable space and a function to integrate, what is the correspondent Riemann integral?

Published on 29 Mar 2026 - 23:29

score 569 · Answer 3 · 2026-03-29 03:03:46

569

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Help to proof that squared integrable functions form a hilbert space.

Published on 29 Mar 2026 - 3:03

score 79 · Answer 4 · 2020-03-29 17:15:45

79

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A change of variable for $\int_0^1 \frac{n^{4/3}x}{1+n^{5/2}x^3} \ dx$

Published on 29 Mar 2020 - 17:15

score 211 · Answer 5 · 2020-03-30 07:42:35

211

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Measure Induced by Integral is Regular if Original Measure Regular

Published on 30 Mar 2020 - 7:42

score 501 · Answer 6 · 2020-03-30 13:53:20

501

Views

Linearity of Lebesgue Integral

Published on 30 Mar 2020 - 13:53

score 383 · Answer 7 · 2026-03-30 05:12:04

383

Views

Convolution of non negative, symmetric, decreasing functions

Published on 30 Mar 2026 - 5:12

score 113 · Answer 8 · 2026-03-26 13:02:16

113

Views

Estimate of integral of Fourier series

Published on 26 Mar 2026 - 13:02

score 335 · Answer 9 · 2020-04-02 14:28:56

335

Views

Calculate $\lim_{n \to \infty} \int^b_af(x)\cos^2(nx)\,dx$

Published on 02 Apr 2020 - 14:28

score 126 · Answer 10 · 2020-04-02 14:54:42

126

Views

Proof of Monotone Convergence Theorem in Cinlar's "Probability and Stochastics"

Published on 02 Apr 2020 - 14:54

score 143 · Answer 11 · 2020-04-02 18:53:32

143

Views

Duality form of $L^q$ norm, without assumption that $\int fg$ defined?

Published on 02 Apr 2020 - 18:53

score 551 · Answer 12 · 2020-04-03 02:17:44

551

Views

Confusion on upper and lower lebesgue integrals

Published on 03 Apr 2020 - 2:17

score 809 · Answer 13 · 2026-03-28 01:13:36

809

Views

Confusion about Fubini's theorem and when it does or doesn't apply

Published on 28 Mar 2026 - 1:13

score 61 · Answer 14 · 2020-04-04 01:08:26

61

Views

Prove that there is a continuous function $f:(0,a)\rightarrow\mathbb{R}$ ($a>0$) such that $f\notin\mathcal{L}_q(\lambda)$ for all $q\in (0,+\infty)$.

Published on 04 Apr 2020 - 1:08

score 300 · Answer 15 · 2026-03-26 22:58:41

300

Views

Lebesgue Dominated and Monotone Convergence Theorem Question

Published on 26 Mar 2026 - 22:58

List Question

Showing for a lebesgue integrable r.v. that a sum of the probability of this r.v. is finite

Given a measure on a measurable space and a function to integrate, what is the correspondent Riemann integral?

Help to proof that squared integrable functions form a hilbert space.

A change of variable for $\int_0^1 \frac{n^{4/3}x}{1+n^{5/2}x^3} \ dx$

Measure Induced by Integral is Regular if Original Measure Regular

Linearity of Lebesgue Integral

Convolution of non negative, symmetric, decreasing functions

Estimate of integral of Fourier series

Calculate $\lim_{n \to \infty} \int^b_af(x)\cos^2(nx)\,dx$

Proof of Monotone Convergence Theorem in Cinlar's "Probability and Stochastics"

Duality form of $L^q$ norm, without assumption that $\int fg$ defined?

Confusion on upper and lower lebesgue integrals

Confusion about Fubini's theorem and when it does or doesn't apply

Prove that there is a continuous function $f:(0,a)\rightarrow\mathbb{R}$ ($a>0$) such that $f\notin\mathcal{L}_q(\lambda)$ for all $q\in (0,+\infty)$.

Lebesgue Dominated and Monotone Convergence Theorem Question

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