List questions from lebesgue-integral

Published on 14 Feb 2018 - 21:28

110

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Is the Heine Borel Theorem valid in $L^1$?

Published on 25 Mar 2026 - 1:23

175

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$L^1 \subseteq L^2$?

Published on 24 Mar 2026 - 23:51

76

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A sequence $f_k:\Omega\rightarrow \mathbb R$ such that $\int f_k=0 \quad \forall k\in \mathbb N $ and $\lim\limits_{k\to\infty} f_k \equiv1$.

Published on 22 Mar 2026 - 17:39

50

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convergence dominate of Lebesgue-Application

Published on 16 Feb 2018 - 10:19

26

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Notations in book

Published on 16 Feb 2018 - 14:29

186

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Leibniz integral rule and Fundamental theorem of calculus

Published on 17 Feb 2018 - 18:10

27

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Find a dissection that satisfies integral inequalities

Published on 17 Mar 2026 - 23:55

95

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Bump function inequality

Published on 21 Mar 2026 - 10:35

67

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Convergence of integrals given pointwise convergence and some other conditions but not $L^1$ dominance.

Published on 19 Feb 2018 - 23:23

2k

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Show that $x^a \log{x}$ is integrable on $(0,1)$ for all $a>-1$

Published on 20 Feb 2018 - 16:08

83

Views

Fourier transform of smoothed measure converges uniformly globally (not just on compact sets)?

Published on 20 Feb 2018 - 18:17

377

Views

Probability measure on the Rationals. density function, and integration?

Published on 21 Feb 2018 - 10:36

63

Views

Area of 2-dimensional surface

Published on 22 Feb 2018 - 21:07

416

Views

Integral of the derivative of an increasing function

Published on 23 Feb 2018 - 6:11

List Question

computing Lebesgue integral of $x^2$ over $[0,1]$

Is the Heine Borel Theorem valid in $L^1$?

$L^1 \subseteq L^2$?

A sequence $f_k:\Omega\rightarrow \mathbb R$ such that $\int f_k=0 \quad \forall k\in \mathbb N $ and $\lim\limits_{k\to\infty} f_k \equiv1$.

convergence dominate of Lebesgue-Application

Notations in book

Leibniz integral rule and Fundamental theorem of calculus

Find a dissection that satisfies integral inequalities

Bump function inequality

Convergence of integrals given pointwise convergence and some other conditions but not $L^1$ dominance.

Show that $x^a \log{x}$ is integrable on $(0,1)$ for all $a>-1$

Fourier transform of smoothed measure converges uniformly globally (not just on compact sets)?

Probability measure on the Rationals. density function, and integration?

Area of 2-dimensional surface

Integral of the derivative of an increasing function

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