Question

Limiting total variation attached to sequence of uniformly vanishing functions of bounded variation

score 208 · Answer 1 · 2026-02-23 10:19:35

208

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Limiting total variation attached to sequence of uniformly vanishing functions of bounded variation

Published on 23 Feb 2026 - 10:19

score 672 · Answer 2 · 2026-03-25 14:37:36

672

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why is the Lebesgue-Stieltjes integral well-defined?

Published on 25 Mar 2026 - 14:37

score 80 · Answer 3 · 2019-01-23 11:19:40

80

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Convergence of Bounded Variation on Open Subsets

Published on 23 Jan 2019 - 11:19

score 259 · Answer 4 · 2026-03-25 03:21:22

259

Views

Total variation of a measure in a topological dual of the space of continuous functions

Published on 25 Mar 2026 - 3:21

score 55 · Answer 5 · 2026-03-25 06:13:27

55

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Show that any nondecreasing $f:[0,\infty)\to\mathbb R$ of locally bounded variation admits a unique signed measure $\mu$ with $\mu([a,b])=f(b)-f(a)$

Published on 25 Mar 2026 - 6:13

score 468 · Answer 6 · 2019-02-14 14:59:44

468

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When does Riemann-Lebesgue lemma hold in general?

Published on 14 Feb 2019 - 14:59

score 71 · Answer 7 · 2019-02-16 13:43:44

71

Views

If a function $f: A \to \mathbb R$ is bounded and continuous on $A$, does its integral on said interval converge uniformly?

Published on 16 Feb 2019 - 13:43

score 871 · Answer 8 · 2019-02-25 10:54:07

871

Views

Computing the total variation of a function $f:[0,1] \to \mathbb{R}$ using uniform partitions

Published on 25 Feb 2019 - 10:54

score 360 · Answer 9 · 2019-02-28 13:10:48

360

Views

Understanding better quadratic variation and fractional derivative

Published on 28 Feb 2019 - 13:10

score 25 · Answer 10 · 2019-03-01 06:15:25

25

Views

$BV[a,b] \subset B[a,b]$

Published on 01 Mar 2019 - 6:15

score 945 · Answer 11 · 2019-03-03 22:04:40

945

Views

Space of vector measures equipped with the total variation norm is complete

Published on 03 Mar 2019 - 22:04

score 83 · Answer 12 · 2026-03-25 03:22:13

83

Views

If $(\pi_λ)_{λ\in\mathbb R}$ is a family of orthogonal projections, do $λ↦\left\|\pi_λx\right\|_H^2$ and $λ↦\pi_λx$ have the same variation?

Published on 25 Mar 2026 - 3:22

score 294 · Answer 13 · 2026-03-25 14:36:50

294

Views

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

Published on 25 Mar 2026 - 14:36

score 201 · Answer 14 · 2019-03-11 21:43:17

201

Views

bounded variation and integral

Published on 11 Mar 2019 - 21:43

score 420 · Answer 15 · 2019-03-16 19:02:19

420

Views

Apostol Mathematical Analysis Theorem 6.14 Functions of Bounded Variation Missing Proof

Published on 16 Mar 2019 - 19:02

List Question

Limiting total variation attached to sequence of uniformly vanishing functions of bounded variation

why is the Lebesgue-Stieltjes integral well-defined?

Convergence of Bounded Variation on Open Subsets

Total variation of a measure in a topological dual of the space of continuous functions

Show that any nondecreasing $f:[0,\infty)\to\mathbb R$ of locally bounded variation admits a unique signed measure $\mu$ with $\mu([a,b])=f(b)-f(a)$

When does Riemann-Lebesgue lemma hold in general?

If a function $f: A \to \mathbb R$ is bounded and continuous on $A$, does its integral on said interval converge uniformly?

Computing the total variation of a function $f:[0,1] \to \mathbb{R}$ using uniform partitions

Understanding better quadratic variation and fractional derivative

$BV[a,b] \subset B[a,b]$

Space of vector measures equipped with the total variation norm is complete

If $(\pi_λ)_{λ\in\mathbb R}$ is a family of orthogonal projections, do $λ↦\left\|\pi_λx\right\|_H^2$ and $λ↦\pi_λx$ have the same variation?

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

bounded variation and integral

Apostol Mathematical Analysis Theorem 6.14 Functions of Bounded Variation Missing Proof

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