Question

Convergence of integral doesn't imply the uniform convergence.

score 72 · Answer 1 · 2026-03-21 23:45:46

72

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Convergence of integral doesn't imply the uniform convergence.

Published on 21 Mar 2026 - 23:45

score 206 · Answer 2 · 2026-03-25 21:50:04

206

Views

Problem about convergence of sequence of partial sums of Fourier series

Published on 25 Mar 2026 - 21:50

score 846 · Answer 3 · 2018-06-11 01:42:11

846

Views

Do Upper and Lower Darboux Sums Converge as Norm of Partition Approaches 0?

Published on 11 Jun 2018 - 1:42

score 46 · Answer 4 · 2018-06-11 11:28:18

46

Views

Proving an integral of products of a function is equal to a regular integral.

Published on 11 Jun 2018 - 11:28

score 732 · Answer 5 · 2018-06-15 11:14:55

If $f,g: [0, 1] \to \mathbb{R} $ are increasing and non-negative functions, show that the function $h(x, y) = f(x)g(y)$ is integrable over $[0, 1]^2$

score 107 · Answer 6 · 2018-06-16 12:19:00

107

Views

How do we know that the point of discontinuities of $f$ can be covered by at most countable many rectangles?

Published on 16 Jun 2018 - 12:19

score 1.3k · Answer 7 · 2018-06-18 10:07:34

1.3k

Views

Can an integrable function on an interval have jump discontinuities?

Published on 18 Jun 2018 - 10:07

score 1.4k · Answer 8 · 2018-06-19 21:14:27

1.4k

Views

If $f \in R(\alpha)$ and if $\int_a ^b f~ d \alpha = 0$ then, prove that $\alpha$ must be constant

Published on 19 Jun 2018 - 21:14

score 147 · Answer 9 · 2026-03-24 23:53:40

147

Views

Prove $\ \int_a^b fd\alpha =0$

Published on 24 Mar 2026 - 23:53

score 153 · Answer 10 · 2018-06-20 17:35:54

153

Views

Evaluate $\ \int_0^3 x^3\,d[\frac{x}{2}]$

Published on 20 Jun 2018 - 17:35

score 121 · Answer 11 · 2018-06-22 05:44:10

121

Views

An alternative proof for $D_2 D_1 f(x) = D_1 D_2 f(x)$ when $f \in C^2$

Published on 22 Jun 2018 - 5:44

score 87 · Answer 12 · 2018-06-23 08:01:19

87

Views

Does continuity on $S$ implies continuity on $\partial S$?

Published on 23 Jun 2018 - 8:01

score 108 · Answer 13 · 2018-06-23 20:50:34

108

Views

Question about Riemann integral property proof

Published on 23 Jun 2018 - 20:50

score 375 · Answer 14 · 2018-06-24 07:06:02

375

Views

Give an example where $\int_{\bar A} f$ exists but $\int_A f$ does not for a continuos $f$ on a bounded open subset $A$ of $\mathbb{R}^n $

Published on 24 Jun 2018 - 7:06

score 655 · Answer 15 · 2018-06-24 08:11:10

655

Views

Is f Riemann Integrable

Published on 24 Jun 2018 - 8:11

List Question

Convergence of integral doesn't imply the uniform convergence.

Problem about convergence of sequence of partial sums of Fourier series

Do Upper and Lower Darboux Sums Converge as Norm of Partition Approaches 0?

Proving an integral of products of a function is equal to a regular integral.

If $f,g: [0, 1] \to \mathbb{R} $ are increasing and non-negative functions, show that the function $h(x, y) = f(x)g(y)$ is integrable over $[0, 1]^2$

How do we know that the point of discontinuities of $f$ can be covered by at most countable many rectangles?

Can an integrable function on an interval have jump discontinuities?

If $f \in R(\alpha)$ and if $\int_a ^b f~ d \alpha = 0$ then, prove that $\alpha$ must be constant

Prove $\ \int_a^b fd\alpha =0$

Evaluate $\ \int_0^3 x^3\,d[\frac{x}{2}]$

An alternative proof for $D_2 D_1 f(x) = D_1 D_2 f(x)$ when $f \in C^2$

Does continuity on $S$ implies continuity on $\partial S$?

Question about Riemann integral property proof

Give an example where $\int_{\bar A} f$ exists but $\int_A f$ does not for a continuos $f$ on a bounded open subset $A$ of $\mathbb{R}^n $

Is f Riemann Integrable

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