Question

What is the geometrical meaning of a Riemann-Stieltjes integral?

score 3.8k · Answer 1 · 2017-08-09 17:29:38

3.8k

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What is the geometrical meaning of a Riemann-Stieltjes integral?

Published on 09 Aug 2017 - 17:29

score 97 · Answer 2 · 2017-08-10 08:48:49

97

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Prove $g=\sum_{n\in J}\hat f(n)e_n$

Published on 10 Aug 2017 - 8:48

score 56 · Answer 3 · 2017-08-12 08:19:14

56

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Riemann integrable modification of a stochastically continuous process

Published on 12 Aug 2017 - 8:19

score 59 · Answer 4 · 2026-03-28 06:22:55

59

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Difference Integration results from mathematica.

Published on 28 Mar 2026 - 6:22

score 441 · Answer 5 · 2017-08-16 22:52:40

441

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Show that $\lim\limits_{n\to\infty}\int_{A}\sin(nx)dx = 0$ for any Lebesgue measurable $A \subseteq [0,1]$

Published on 16 Aug 2017 - 22:52

score 176 · Answer 6 · 2017-08-17 05:25:50

Obtain the value of $\int_0^1f(x) \ dx$, where $f(x) = \begin{cases} \frac {1}{n}, & \frac{1}{n+1}<x\le\frac{1}{n}\\ 0, & x=0 \end{cases}$

score 312 · Answer 7 · 2026-03-31 12:13:02

312

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Riemann integrability and Riemann sums

Published on 31 Mar 2026 - 12:13

score 87 · Answer 8 · 2017-08-20 22:47:49

87

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Difference between Riemann and KH integrals

Published on 20 Aug 2017 - 22:47

score 127 · Answer 9 · 2017-08-21 01:09:21

127

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KH and Riemann integrals example

Published on 21 Aug 2017 - 1:09

score 737 · Answer 10 · 2017-08-22 15:21:11

737

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If $f,g\in L^1$ does $fg\in L^1$?

Published on 22 Aug 2017 - 15:21

score 73 · Answer 11 · 2017-08-22 16:26:27

73

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$g: [-\pi,\pi]\to R$ cont. with $g(\pi) = g(-\pi)$, $\int_{-\pi}^{\pi}g(t)\sin(nt)dt = 0$ show that $g$ is even.

Published on 22 Aug 2017 - 16:26

score 358 · Answer 12 · 2017-08-30 03:33:59

358

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net convergence implies bounded?

Published on 30 Aug 2017 - 3:33

score 48 · Answer 13 · 2017-08-30 18:56:31

48

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Equvalent definitions of complex integrals over real intervals

Published on 30 Aug 2017 - 18:56

score 72 · Answer 14 · 2017-09-01 13:26:52

72

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Pairs $(f,g)$ for which the Riemann-Stiltjes integral $\int_a^bf(x)\,dg(x)$ exists

Published on 01 Sep 2017 - 13:26

score 260 · Answer 15 · 2017-09-03 16:33:07

260

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

Published on 03 Sep 2017 - 16:33

List Question

What is the geometrical meaning of a Riemann-Stieltjes integral?

Prove $g=\sum_{n\in J}\hat f(n)e_n$

Riemann integrable modification of a stochastically continuous process

Difference Integration results from mathematica.

Show that $\lim\limits_{n\to\infty}\int_{A}\sin(nx)dx = 0$ for any Lebesgue measurable $A \subseteq [0,1]$

Obtain the value of $\int_0^1f(x) \ dx$, where $f(x) = \begin{cases} \frac {1}{n}, & \frac{1}{n+1}<x\le\frac{1}{n}\\ 0, & x=0 \end{cases}$

Riemann integrability and Riemann sums

Difference between Riemann and KH integrals

KH and Riemann integrals example

If $f,g\in L^1$ does $fg\in L^1$?

$g: [-\pi,\pi]\to R$ cont. with $g(\pi) = g(-\pi)$, $\int_{-\pi}^{\pi}g(t)\sin(nt)dt = 0$ show that $g$ is even.

net convergence implies bounded?

Equvalent definitions of complex integrals over real intervals

Pairs $(f,g)$ for which the Riemann-Stiltjes integral $\int_a^bf(x)\,dg(x)$ exists

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

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