Question

proving an integral-defined function is differentiable?

score 112 · Answer 1 · 2020-03-25 14:56:12

112

Views

proving an integral-defined function is differentiable?

Published on 25 Mar 2020 - 14:56

score 114 · Answer 2 · 2020-03-25 17:26:55

114

Views

Does there exist $\xi\in[a,b]$ such that $|f(\xi)|\leq\frac{1}{b-a}\int_{a}^{b}|f(x)| \ \text{d}x$?

Published on 25 Mar 2020 - 17:26

score 57 · Answer 3 · 2026-03-27 23:31:05

57

Views

Proof that a continuous function on a bounded and closed domain is integrable

Published on 27 Mar 2026 - 23:31

score 46 · Answer 4 · 2020-03-27 02:02:41

46

Views

Evaluating the Limit of a Sequence Defined by a Riemann Integrable Function

Published on 27 Mar 2020 - 2:02

score 146 · Answer 5 · 2020-03-27 18:34:00

146

Views

Showing that a Riemann Integrable Function is Continuous

Published on 27 Mar 2020 - 18:34

score 996 · Answer 6 · 2020-03-28 05:46:15

996

Views

If $f$ is Riemann integrable and $f>0$ for $x\in[a,b]$ then $\int{f>0}$

Published on 28 Mar 2020 - 5:46

score 174 · Answer 7 · 2020-03-28 11:32:26

174

Views

Given a measure on a measurable space and a function to integrate, what is the correspondent Riemann integral?

Published on 28 Mar 2020 - 11:32

score 44 · Answer 8 · 2026-02-23 04:52:39

44

Views

Approximating the Riemann integral for a certain product

Published on 23 Feb 2026 - 4:52

score 514 · Answer 9 · 2020-03-28 15:36:18

514

Views

Exercise 11 Chapter 3 From Stein's Fourier Analysis

Published on 28 Mar 2020 - 15:36

score 56 · Answer 10 · 2026-03-25 17:41:57

56

Views

Proof verification: Possibly false argument in the proof of $\int_{I}g(x)dF(u)=\int_{I}g(u)F'(u)du$ (Riemann-Stieltjes)

Published on 25 Mar 2026 - 17:41

score 28 · Answer 11 · 2020-03-30 09:51:05

28

Views

Sum of functions is Riemann integrable implies that the functions are Riemann integrable?

Published on 30 Mar 2020 - 9:51

score 30 · Answer 12 · 2020-03-30 15:26:47

30

Views

confusion in writing down my understanding mathematically. Riemann integral

Published on 30 Mar 2020 - 15:26

score 65 · Answer 13 · 2020-03-30 16:35:53

65

Views

If $f(x)$ is an integrable function in $[a,b],$ then the set where the function is continuous, is dense in $[a,b]$?

Published on 30 Mar 2020 - 16:35

score 80 · Answer 14 · 2026-03-25 17:41:53

80

Views

(Proof) $g\in BV[a,b]$ and $f\in\mathcal{R}_g[a,b]$ and $f$ bounded $\Rightarrow 1/f\in\mathcal{R}_g[a,b]$

Published on 25 Mar 2026 - 17:41

score 60 · Answer 15 · 2020-03-31 10:21:36

60

Views

Riemann integrable functions

Published on 31 Mar 2020 - 10:21

List Question

proving an integral-defined function is differentiable?

Does there exist $\xi\in[a,b]$ such that $|f(\xi)|\leq\frac{1}{b-a}\int_{a}^{b}|f(x)| \ \text{d}x$?

Proof that a continuous function on a bounded and closed domain is integrable

Evaluating the Limit of a Sequence Defined by a Riemann Integrable Function

Showing that a Riemann Integrable Function is Continuous

If $f$ is Riemann integrable and $f>0$ for $x\in[a,b]$ then $\int{f>0}$

Given a measure on a measurable space and a function to integrate, what is the correspondent Riemann integral?

Approximating the Riemann integral for a certain product

Exercise 11 Chapter 3 From Stein's Fourier Analysis

Proof verification: Possibly false argument in the proof of $\int_{I}g(x)dF(u)=\int_{I}g(u)F'(u)du$ (Riemann-Stieltjes)

Sum of functions is Riemann integrable implies that the functions are Riemann integrable?

confusion in writing down my understanding mathematically. Riemann integral

If $f(x)$ is an integrable function in $[a,b],$ then the set where the function is continuous, is dense in $[a,b]$?

(Proof) $g\in BV[a,b]$ and $f\in\mathcal{R}_g[a,b]$ and $f$ bounded $\Rightarrow 1/f\in\mathcal{R}_g[a,b]$

Riemann integrable functions

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