Question

Showing that a function is nonnegative almost everywhere on (0,1)

score 76 · Answer 1 · 2026-03-25 23:08:06

76

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Showing that a function is nonnegative almost everywhere on (0,1)

Published on 25 Mar 2026 - 23:08

score 355 · Answer 2 · 2026-04-12 11:33:09

355

Views

Proving formula of expected Value

Published on 12 Apr 2026 - 11:33

score 89 · Answer 3 · 2026-04-12 11:35:28

89

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Do I understand this proof? ("Measure, Integration & Real Analysis" by Sheldon Axler.)

Published on 12 Apr 2026 - 11:35

score 82 · Answer 4 · 2023-05-31 09:30:43

82

Views

3.22 integration is order preserving. Is my proof for these cases ok? "Measure, Integration & Real Analysis" by Sheldon Axler

Published on 31 May 2023 - 9:30

score 121 · Answer 5 · 2023-05-31 16:30:45

121

Views

Convergence a.e. of $\sum_{n=1}^{\infty} \frac{a_n}{\sqrt{\left|x-r_n\right|}}$, where $\sum_{n=1}^{\infty}\left|a_n\right|<\infty$

Published on 31 May 2023 - 16:30

score 70 · Answer 6 · 2023-05-31 18:18:28

70

Views

Is there a Quick Way of Proving this Particular Case of the Lebesgue Differentiation Theorem?

Published on 31 May 2023 - 18:18

score 64 · Answer 7 · 2023-06-02 17:01:45

64

Views

$\lim_{n\to\infty}\int_0^\infty\frac{n^2\log^2{(x+1)}}{1+(n^3\log^3{(x+1)})}e^{-nx}dx$, use dominated convergence theorem

Published on 02 Jun 2023 - 17:01

score 222 · Answer 8 · 2026-04-11 20:18:37

222

Views

A non-Riemann integrable function that is Lebesgue integrable

Published on 11 Apr 2026 - 20:18

score 46 · Answer 9 · 2026-04-08 19:05:17

46

Views

Inverse Fourier Transform when the function is not surely integrable

Published on 08 Apr 2026 - 19:05

score 67 · Answer 10 · 2026-04-08 14:53:54

67

Views

$f$ and $\hat f$ are integrable, right-hand limit and left-hand limit exist, then two limits equal.

Published on 08 Apr 2026 - 14:53

score 62 · Answer 11 · 2026-04-09 10:14:12

62

Views

When are two weighted Lebesgue spaces the same?

Published on 09 Apr 2026 - 10:14

score 73 · Answer 12 · 2026-04-11 14:56:09

73

Views

Calculating a concrete Radon-Nikodym derivative (density)

Published on 11 Apr 2026 - 14:56

score 53 · Answer 13 · 2026-04-04 06:01:36

53

Views

limit of $\int_{[0,n]\times \mathbb[0,n]}e^{-(x^3+y^2)}dxdy$, as $n\to\infty$

Published on 04 Apr 2026 - 6:01

score 98 · Answer 14 · 2026-04-09 19:09:45

98

Views

What measure is $dx$?

Published on 09 Apr 2026 - 19:09

score 35 · Answer 15 · 2026-04-11 17:19:48

35

Views

$\int_{F^{-1}(O)}F'(x)dx = m(O)$, $F$ is absolutely continuous

Published on 11 Apr 2026 - 17:19

List Question

Showing that a function is nonnegative almost everywhere on (0,1)

Proving formula of expected Value

Do I understand this proof? ("Measure, Integration & Real Analysis" by Sheldon Axler.)

3.22 integration is order preserving. Is my proof for these cases ok? "Measure, Integration & Real Analysis" by Sheldon Axler

Convergence a.e. of $\sum_{n=1}^{\infty} \frac{a_n}{\sqrt{\left|x-r_n\right|}}$, where $\sum_{n=1}^{\infty}\left|a_n\right|<\infty$

Is there a Quick Way of Proving this Particular Case of the Lebesgue Differentiation Theorem?

$\lim_{n\to\infty}\int_0^\infty\frac{n^2\log^2{(x+1)}}{1+(n^3\log^3{(x+1)})}e^{-nx}dx$, use dominated convergence theorem

A non-Riemann integrable function that is Lebesgue integrable

Inverse Fourier Transform when the function is not surely integrable

$f$ and $\hat f$ are integrable, right-hand limit and left-hand limit exist, then two limits equal.

When are two weighted Lebesgue spaces the same?

Calculating a concrete Radon-Nikodym derivative (density)

limit of $\int_{[0,n]\times \mathbb[0,n]}e^{-(x^3+y^2)}dxdy$, as $n\to\infty$

What measure is $dx$?

$\int_{F^{-1}(O)}F'(x)dx = m(O)$, $F$ is absolutely continuous

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