Question

Decide if $f:[-1,1] \rightarrow \mathbb{R}, f(x)= \mathbb{I}_{1/n}, n=1,2,3, \ldots$ is integrable.

score 40 · Answer 1 · 2026-04-16 19:52:53

40

Views

Decide if $f:[-1,1] \rightarrow \mathbb{R}, f(x)= \mathbb{I}_{1/n}, n=1,2,3, \ldots$ is integrable.

Published on 16 Apr 2026 - 19:52

score 75 · Answer 2 · 2026-04-16 12:58:47

75

Views

f is not Lebesgue-Integrable

Published on 16 Apr 2026 - 12:58

score 124 · Answer 3 · 2026-04-12 02:46:54

124

Views

Inequality of means for functions

Published on 12 Apr 2026 - 2:46

score 67 · Answer 4 · 2026-04-16 02:15:24

67

Views

How to Compute: $\int_\mathbb{R} \frac{\lambda e^{-t}}{(\lambda - e^{-t})^2}f(x)\chi_{(-\infty,t)}(x) \, dt$?

Published on 16 Apr 2026 - 2:15

score 556 · Answer 5 · 2026-03-28 13:32:21

556

Views

Unbounded function with integrable weak derivative

Published on 28 Mar 2026 - 13:32

score 125 · Answer 6 · 2026-04-13 04:21:47

125

Views

Classifying measurability of functions for $\mathcal{L}(\mathbb{R})$

Published on 13 Apr 2026 - 4:21

score 62 · Answer 7 · 2026-04-16 01:37:55

62

Views

Convergence in $L_1$ implies convergence in measure $f_n \xrightarrow[]{L_1}f \Rightarrow f_n \xrightarrow[]{\mu}f$.

Published on 16 Apr 2026 - 1:37

score 172 · Answer 8 · 2026-04-14 14:06:11

172

Views

Derivating with respect the parameter calcule $\int_0^{\frac{\pi}{2}}\frac{\arctan(a\tan x)}{\tan x}dx$

Published on 14 Apr 2026 - 14:06

score 28 · Answer 9 · 2026-04-09 21:44:46

28

Views

Can anyone help me in finding this integral? Without using differentiation under integral sign.

Published on 09 Apr 2026 - 21:44

score 351 · Answer 10 · 2026-03-27 03:41:45

351

Views

Convexity of a functional on a Sobolev space

Published on 27 Mar 2026 - 3:41

score 46 · Answer 11 · 2026-04-11 09:41:02

46

Views

lesbesgue integral intermediate value

Published on 11 Apr 2026 - 9:41

score 352 · Answer 12 · 2026-04-12 07:49:19

352

Views

Dominated convergence theorem to show $F$ is integrable.

Published on 12 Apr 2026 - 7:49

score 91 · Answer 13 · 2026-04-12 01:02:22

91

Views

$\langle f,g\rangle_H$ is $\mu$-mesurable

Published on 12 Apr 2026 - 1:02

score 201 · Answer 14 · 2026-04-16 13:28:20

201

Views

Lebesgue integral $f(x)= \int_{(0,1)} \frac {1}{1-x^3}dx$

Published on 16 Apr 2026 - 13:28

score 265 · Answer 15 · 2026-04-17 10:19:18

265

Views

Does the function $f$ belong to $L^1_{loc}$ or $L^1$?

Published on 17 Apr 2026 - 10:19

List Question

Decide if $f:[-1,1] \rightarrow \mathbb{R}, f(x)= \mathbb{I}_{1/n}, n=1,2,3, \ldots$ is integrable.

f is not Lebesgue-Integrable

Inequality of means for functions

How to Compute: $\int_\mathbb{R} \frac{\lambda e^{-t}}{(\lambda - e^{-t})^2}f(x)\chi_{(-\infty,t)}(x) \, dt$?

Unbounded function with integrable weak derivative

Classifying measurability of functions for $\mathcal{L}(\mathbb{R})$

Convergence in $L_1$ implies convergence in measure $f_n \xrightarrow[]{L_1}f \Rightarrow f_n \xrightarrow[]{\mu}f$.

Derivating with respect the parameter calcule $\int_0^{\frac{\pi}{2}}\frac{\arctan(a\tan x)}{\tan x}dx$

Can anyone help me in finding this integral? Without using differentiation under integral sign.

Convexity of a functional on a Sobolev space

lesbesgue integral intermediate value

Dominated convergence theorem to show $F$ is integrable.

$\langle f,g\rangle_H$ is $\mu$-mesurable

Lebesgue integral $f(x)= \int_{(0,1)} \frac {1}{1-x^3}dx$

Does the function $f$ belong to $L^1_{loc}$ or $L^1$?

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