Question

Problem 3. Page 240. Barry Simon. (Associated Lebesgue-Stieltjes measure )

score 102 · Answer 1 · 2026-03-25 14:37:57

102

Views

Problem 3. Page 240. Barry Simon. (Associated Lebesgue-Stieltjes measure )

Published on 25 Mar 2026 - 14:37

score 1.1k · Answer 2 · 2026-04-29 12:50:41

1.1k

Views

Continuity of Lebesgue Stieltjes integral

Published on 29 Apr 2026 - 12:50

score 1k · Answer 3 · 2026-05-10 12:31:06

1k

Views

Riesz representation theorem for $C([0,1])$

Published on 10 May 2026 - 12:31

score 672 · Answer 4 · 2026-03-25 14:37:36

672

Views

why is the Lebesgue-Stieltjes integral well-defined?

Published on 25 Mar 2026 - 14:37

score 88 · Answer 5 · 2026-03-25 14:37:57

88

Views

Asymptotics of integrals with respect to asymptotically equivalent distribution functions

Published on 25 Mar 2026 - 14:37

score 150 · Answer 6 · 2026-03-25 14:29:23

150

Views

Riemann-Stieltjes integrable and Right-continouos function

Published on 25 Mar 2026 - 14:29

score 88 · Answer 7 · 2026-03-25 14:32:23

88

Views

Extensions of Riemann-Stieltjes without continuity problems

Published on 25 Mar 2026 - 14:32

score 296 · Answer 8 · 2026-04-12 07:09:09

296

Views

Riemann-Stieltjes integral with respect to a product of functions.

Published on 12 Apr 2026 - 7:09

score 107 · Answer 9 · 2026-03-25 07:44:35

107

Views

What is the usual definition of the spectral measure for a nonnegative self-adjoint operator on a Hilbert space?

Published on 25 Mar 2026 - 7:44

score 78 · Answer 10 · 2026-03-25 14:35:50

78

Views

If $f$ is nondecreasing and $h$ is of bounded variation with $|h(t)-h(s)|≤C\sqrt{f(t)-f(s)}$, then $\int|X||{\rm d}h|≤C\sqrt{\int|X|^2\:{\rm d}f}$

Published on 25 Mar 2026 - 14:35

score 102 · Answer 11 · 2026-03-25 14:35:50

102

Views

Show that $\sum_{{i = 1}}^{n} f(i) = \lfloor n \rfloor f(n)- \int_{1}^{n}f'(x)\lfloor x\rfloor\, dx$

Published on 25 Mar 2026 - 14:35

score 389 · Answer 12 · 2026-03-25 14:35:50

389

Views

If $f \in BV[0,2\pi], f(0)= f(2\pi)$ Show that $\int_0^{2\pi}f(x)\sin(nx)dx$ exist for each $n$ natural.

Published on 25 Mar 2026 - 14:35

score 114 · Answer 13 · 2026-03-25 14:35:52

114

Views

Showing that $f \in R_\alpha[a,b]$ and $\lim_{n\rightarrow \infty}\int_a^b f d\alpha_n = \int_a^b f d\alpha $

Published on 25 Mar 2026 - 14:35

score 649 · Answer 14 · 2026-03-25 14:33:38

649

Views

Change of variables - Lebesgue-Stieltjes integral

Published on 25 Mar 2026 - 14:33

score 563 · Answer 15 · 2026-03-25 14:35:53

563

Views

Show that if $f \in R_\alpha$,and g increasing and continuous then $ f(g(x)) \in R_{\alpha(g(x))}$

Published on 25 Mar 2026 - 14:35

List Question

Problem 3. Page 240. Barry Simon. (Associated Lebesgue-Stieltjes measure )

Continuity of Lebesgue Stieltjes integral

Riesz representation theorem for $C([0,1])$

why is the Lebesgue-Stieltjes integral well-defined?

Asymptotics of integrals with respect to asymptotically equivalent distribution functions

Riemann-Stieltjes integrable and Right-continouos function

Extensions of Riemann-Stieltjes without continuity problems

Riemann-Stieltjes integral with respect to a product of functions.

What is the usual definition of the spectral measure for a nonnegative self-adjoint operator on a Hilbert space?

If $f$ is nondecreasing and $h$ is of bounded variation with $|h(t)-h(s)|≤C\sqrt{f(t)-f(s)}$, then $\int|X||{\rm d}h|≤C\sqrt{\int|X|^2\:{\rm d}f}$

Show that $\sum_{{i = 1}}^{n} f(i) = \lfloor n \rfloor f(n)- \int_{1}^{n}f'(x)\lfloor x\rfloor\, dx$

If $f \in BV[0,2\pi], f(0)= f(2\pi)$ Show that $\int_0^{2\pi}f(x)\sin(nx)dx$ exist for each $n$ natural.

Showing that $f \in R_\alpha[a,b]$ and $\lim_{n\rightarrow \infty}\int_a^b f d\alpha_n = \int_a^b f d\alpha $

Change of variables - Lebesgue-Stieltjes integral

Show that if $f \in R_\alpha$,and g increasing and continuous then $ f(g(x)) \in R_{\alpha(g(x))}$

Trending Questions

Popular # Hahtags

Popular Questions