List questions from lebesgue-integral

Published on 30 Mar 2026 - 12:26

102

Views

Borel function and characteristic equation

Published on 29 Mar 2026 - 5:47

210

Views

Uniform continuity of the antiderivative

Published on 28 Mar 2026 - 21:57

2.2k

Views

If $f$ is Lebesgue integrable, then for every $\epsilon>0$ there is a set $E$ of finite measure such that $\int_{E^c}|f|<\epsilon$

Published on 29 Dec 2014 - 3:40

166

Views

Relation between two answered problem in Lebesuge Integral

Published on 29 Dec 2014 - 20:35

313

Views

zeros of the dyadic maximal function

Published on 30 Dec 2014 - 4:54

98

Views

Prove that $C^\infty(\mathbb{R}^n)$ is dense in $L^2(\mathbb{R}^n, (1 + |\xi|^2)^s d\xi$

Published on 28 Mar 2026 - 20:22

85

Views

Let $0<a<b$. Calculate $\int_{(0,1)}\frac{t^b-t^a}{\ln(t)}dt$.

Published on 31 Dec 2014 - 0:31

50

Views

Is $\left(\frac{1}{x}\right)^{\frac{1}{p} - \frac{1}{n}}$ a Cauchy Sequence in $L^p((0,1))$

Published on 02 Jan 2015 - 18:29

92

Views

Example where $\lim\limits_{m\rightarrow\infty} \int_E f_m =0$ and $f_m(x) \not\rightarrow 0$

Published on 01 Apr 2026 - 20:49

137

Views

Dominated convergence theorem for expanding sequence of set

Published on 02 Oct 2019 - 6:43

120

Views

Show integral of decreasing set is zero

Published on 02 Oct 2019 - 13:54

60

Views

Construct sequence $u_j$ that converges to function $u$

Published on 02 Oct 2019 - 16:10

68

Views

Product of two functions that are not in $ L^1(\mathbb R)$

Published on 02 Oct 2019 - 18:08

42

Views

Show if a function is an $L^1$ function

Published on 02 Oct 2019 - 19:06

List Question

Expectation of a discrete random variable: how to convert an integral to a sum?

Borel function and characteristic equation

Uniform continuity of the antiderivative

If $f$ is Lebesgue integrable, then for every $\epsilon>0$ there is a set $E$ of finite measure such that $\int_{E^c}|f|<\epsilon$

Relation between two answered problem in Lebesuge Integral

zeros of the dyadic maximal function

Prove that $C^\infty(\mathbb{R}^n)$ is dense in $L^2(\mathbb{R}^n, (1 + |\xi|^2)^s d\xi$

Let $0<a<b$. Calculate $\int_{(0,1)}\frac{t^b-t^a}{\ln(t)}dt$.

Is $\left(\frac{1}{x}\right)^{\frac{1}{p} - \frac{1}{n}}$ a Cauchy Sequence in $L^p((0,1))$

Example where $\lim\limits_{m\rightarrow\infty} \int_E f_m =0$ and $f_m(x) \not\rightarrow 0$

Dominated convergence theorem for expanding sequence of set

Show integral of decreasing set is zero

Construct sequence $u_j$ that converges to function $u$

Product of two functions that are not in $ L^1(\mathbb R)$

Show if a function is an $L^1$ function

Trending Questions

Popular # Hahtags

Popular Questions