List questions from lebesgue-integral

Published on 28 Mar 2026 - 6:16

77

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Integrals of $L^1$-Cauchy-Sequence which converges to zero almost everywhere converges to zero

Published on 28 Mar 2026 - 9:55

90

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Elegant integral property true?

Published on 23 Jan 2020 - 0:30

41

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If $\int_{M} f \ d\mu > 0$ then $f(x) > 0$ for some $x \in M$?

Published on 23 Jan 2020 - 16:46

73

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For $f\in L_p$ for every $p\in (1,\infty)$ and $\| f \|_p^p=\|f\|_q^q$, determine $f$.

Published on 25 Jan 2020 - 16:35

243

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How to find $\lim_{n \to \infty}\int_{0}^{1}\sin^2\left(\frac{1}{ny^2}\right)\,\mathrm{d}y$ if it exists?

Published on 27 Jan 2020 - 13:05

23

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Notation used in integration in stochastic processes

Published on 28 Mar 2026 - 3:32

77

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Stieltjes integral and dominated convergence

Published on 25 Mar 2026 - 17:36

55

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Proof of $\lim_{n \to +\infty}\int_{-n}^{n} \frac{\sin(nx)}{x}dx = \pi$?

Published on 28 Jan 2020 - 16:42

182

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Proof of separability of $Lp[0,1]$ spaces

Published on 28 Jan 2020 - 18:03

57

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Show measurability of parameterized function

Published on 28 Mar 2026 - 16:56

106

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Continuity of the Frechet Derivative, A result by Krasnosel'skii

Published on 31 Jan 2020 - 8:08

53

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Integrability of logarithm

Published on 31 Jan 2020 - 9:38

191

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Application of the Lebesgue integral with the Dirac measure

Published on 28 Mar 2026 - 6:16

48

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Fourier transform of delta distribution satisfies $ \hat\delta_{x-x_0} = \hat\delta_{x_0} $

Published on 26 Mar 2026 - 0:53

List Question

Can we apply the Dirac Measure to itself in the Lebesgue Integral?

Integrals of $L^1$-Cauchy-Sequence which converges to zero almost everywhere converges to zero

Elegant integral property true?

If $\int_{M} f \ d\mu > 0$ then $f(x) > 0$ for some $x \in M$?

For $f\in L_p$ for every $p\in (1,\infty)$ and $\| f \|_p^p=\|f\|_q^q$, determine $f$.

How to find $\lim_{n \to \infty}\int_{0}^{1}\sin^2\left(\frac{1}{ny^2}\right)\,\mathrm{d}y$ if it exists?

Notation used in integration in stochastic processes

Stieltjes integral and dominated convergence

Proof of $\lim_{n \to +\infty}\int_{-n}^{n} \frac{\sin(nx)}{x}dx = \pi$?

Proof of separability of $Lp[0,1]$ spaces

Show measurability of parameterized function

Continuity of the Frechet Derivative, A result by Krasnosel'skii

Integrability of logarithm

Application of the Lebesgue integral with the Dirac measure

Fourier transform of delta distribution satisfies $ \hat\delta_{x-x_0} = \hat\delta_{x_0} $

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