Question

Sum of absolutely continuous functions is absolutely continuous

score 1.3k · Answer 1 · 2026-04-12 06:19:42

1.3k

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Sum of absolutely continuous functions is absolutely continuous

Published on 12 Apr 2026 - 6:19

score 84 · Answer 2 · 2026-04-15 03:12:16

84

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Clarifying a Step in an L2 Integration

Published on 15 Apr 2026 - 3:12

score 1.4k · Answer 3 · 2026-04-15 11:12:19

1.4k

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Show that if $f$ is uniformly continuous and is Lebesgue integrable on $\mathbb{R}$, then $\lim_{|x| \to \infty}|f(x)| = 0$

Published on 15 Apr 2026 - 11:12

score 85 · Answer 4 · 2026-04-16 13:37:48

85

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Sequence $\{f_n\}$ of non-neg. meas. on [0,1] s.t $f_n \to 0$ a.e but if $[a,b]\subset[0,1]$ then $\lim_{n\to\infty}\int_{a}^{b}f_n(x)dx =(b-a)$

Published on 16 Apr 2026 - 13:37

score 108 · Answer 5 · 2026-04-15 09:25:11

108

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Study the integrability of $\frac{e^{-x}(1-\cos xy)}{y^2}$ on $[0,\infty)\times [0,\infty)$.

Published on 15 Apr 2026 - 9:25

score 246 · Answer 6 · 2026-04-11 22:23:28

246

Views

Absolutely continuous functions converge to Lipschitz function

Published on 11 Apr 2026 - 22:23

score 971 · Answer 7 · 2026-04-09 14:25:22

971

Views

Evaluating an Integral Using Lebesgue Measure

Published on 09 Apr 2026 - 14:25

score 35 · Answer 8 · 2026-04-13 03:19:42

35

Views

Value of integral approximated by other integral

Published on 13 Apr 2026 - 3:19

score 74 · Answer 9 · 2026-04-11 20:01:54

74

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Differentiate line integral

Published on 11 Apr 2026 - 20:01

score 1.6k · Answer 10 · 2026-05-05 05:53:42

1.6k

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On convergence of Cesaro sum of Fourier series of integrable function at a point of continuity

Published on 05 May 2026 - 5:53

score 262 · Answer 11 · 2026-04-13 08:01:18

262

Views

To show non-existence of Riemann integrable function whose positive Fourier coefficients are $1/n$ and non-positive Fourier coefficients are zero

Published on 13 Apr 2026 - 8:01

score 75 · Answer 12 · 2026-04-15 20:21:40

75

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$\int_{\mathbb{R}^3}|f(x)|^{3/2}dx\leq (\int_{\mathbb{R}^3}|\nabla f(x)|dx)^{3/2}$

Published on 15 Apr 2026 - 20:21

score 66 · Answer 13 · 2026-04-09 04:43:16

66

Views

Questions on Lebesgue Integration construction

Published on 09 Apr 2026 - 4:43

score 168 · Answer 14 · 2026-04-16 18:56:34

168

Views

Existence of the limit of a certain integral

Published on 16 Apr 2026 - 18:56

score 4.9k · Answer 15 · 2026-03-29 04:47:28

4.9k

Views

If $ \int fg = 0 $ for all compactly supported continuous g, then f = 0 a.e.?

Published on 29 Mar 2026 - 4:47

List Question

Sum of absolutely continuous functions is absolutely continuous

Clarifying a Step in an L2 Integration

Show that if $f$ is uniformly continuous and is Lebesgue integrable on $\mathbb{R}$, then $\lim_{|x| \to \infty}|f(x)| = 0$

Sequence $\{f_n\}$ of non-neg. meas. on [0,1] s.t $f_n \to 0$ a.e but if $[a,b]\subset[0,1]$ then $\lim_{n\to\infty}\int_{a}^{b}f_n(x)dx =(b-a)$

Study the integrability of $\frac{e^{-x}(1-\cos xy)}{y^2}$ on $[0,\infty)\times [0,\infty)$.

Absolutely continuous functions converge to Lipschitz function

Evaluating an Integral Using Lebesgue Measure

Value of integral approximated by other integral

Differentiate line integral

On convergence of Cesaro sum of Fourier series of integrable function at a point of continuity

To show non-existence of Riemann integrable function whose positive Fourier coefficients are $1/n$ and non-positive Fourier coefficients are zero

$\int_{\mathbb{R}^3}|f(x)|^{3/2}dx\leq (\int_{\mathbb{R}^3}|\nabla f(x)|dx)^{3/2}$

Questions on Lebesgue Integration construction

Existence of the limit of a certain integral

If $ \int fg = 0 $ for all compactly supported continuous g, then f = 0 a.e.?

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