Question

How to show $\Big(\dfrac{\sin t}{t}\Big)^{n}$ for $n\geq 2$ is Lebesgue integrable over $\mathbb{R}$?

score 210 · Answer 1 · 2019-10-02 19:10:03

210

Views

How to show $\Big(\dfrac{\sin t}{t}\Big)^{n}$ for $n\geq 2$ is Lebesgue integrable over $\mathbb{R}$?

Published on 02 Oct 2019 - 19:10

score 49 · Answer 2 · 2019-10-03 00:01:33

49

Views

Show that $\exists \delta >0$ so the inequality holds (Lebesgue integral)

Published on 03 Oct 2019 - 0:01

score 149 · Answer 3 · 2019-10-03 01:34:47

149

Views

Continuity and Lebesgue integrable function

Published on 03 Oct 2019 - 1:34

score 646 · Answer 4 · 2026-03-26 11:17:52

646

Views

How to cure "I don't appreciate Lebesgue integration because I was taught Riemannian integration throughout university"

Published on 26 Mar 2026 - 11:17

score 192 · Answer 5 · 2026-02-23 23:08:13

192

Views

Decreasing sequence of Lebesgue measurable functions that converge $0$ and that don't converge in mean

Published on 23 Feb 2026 - 23:08

score 47 · Answer 6 · 2019-10-03 12:44:41

47

Views

If $f_n(x)\to_{a.e} 0$ and $\lim_{n \to \infty}\int_{x}f_nd\mu=0$ Then there must be integrable $g$ s.t $f_n\leq g$ for all n

Published on 03 Oct 2019 - 12:44

score 78 · Answer 7 · 2026-03-26 19:42:50

78

Views

Product measure without integration

Published on 26 Mar 2026 - 19:42

score 362 · Answer 8 · 2019-10-04 07:14:13

362

Views

Why is this limit integrable?

Published on 04 Oct 2019 - 7:14

score 39 · Answer 9 · 2026-03-28 20:13:00

39

Views

Compute $\int_\mathbb{R} \cos(ty) d\delta_x(y)$

Published on 28 Mar 2026 - 20:13

score 211 · Answer 10 · 2019-10-04 08:55:59

211

Views

Proving that an infinite sum equals a Lebesgue integral

Published on 04 Oct 2019 - 8:55

score 91 · Answer 11 · 2019-10-04 14:03:25

91

Views

Example of differentiating through Lebesgue integral

Published on 04 Oct 2019 - 14:03

score 272 · Answer 12 · 2026-03-28 22:31:08

272

Views

How to prove that $\int_a^b f(x)dx=-\int_b^a f(x)dx$?

Published on 28 Mar 2026 - 22:31

score 48 · Answer 13 · 2019-10-06 13:20:33

48

Views

Determine if function these functions are in $\mathcal{L}^1$

Published on 06 Oct 2019 - 13:20

score 105 · Answer 14 · 2019-10-07 06:46:52

105

Views

Unbounded fork function is Lebesgue integrable?

Published on 07 Oct 2019 - 6:46

score 731 · Answer 15 · 2019-10-07 20:41:08

731

Views

Intersection/union of measurable and nonmeasurable sets

Published on 07 Oct 2019 - 20:41

List Question

How to show $\Big(\dfrac{\sin t}{t}\Big)^{n}$ for $n\geq 2$ is Lebesgue integrable over $\mathbb{R}$?

Show that $\exists \delta >0$ so the inequality holds (Lebesgue integral)

Continuity and Lebesgue integrable function

How to cure "I don't appreciate Lebesgue integration because I was taught Riemannian integration throughout university"

Decreasing sequence of Lebesgue measurable functions that converge $0$ and that don't converge in mean

If $f_n(x)\to_{a.e} 0$ and $\lim_{n \to \infty}\int_{x}f_nd\mu=0$ Then there must be integrable $g$ s.t $f_n\leq g$ for all n

Product measure without integration

Why is this limit integrable?

Compute $\int_\mathbb{R} \cos(ty) d\delta_x(y)$

Proving that an infinite sum equals a Lebesgue integral

Example of differentiating through Lebesgue integral

How to prove that $\int_a^b f(x)dx=-\int_b^a f(x)dx$?

Determine if function these functions are in $\mathcal{L}^1$

Unbounded fork function is Lebesgue integrable?

Intersection/union of measurable and nonmeasurable sets

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