Question

Under Given conditions, is f absolutely continuous on $[0,1]$?

score 50 · Answer 1 · 2015-11-16 14:47:16

50

Views

Under Given conditions, is f absolutely continuous on $[0,1]$?

Published on 16 Nov 2015 - 14:47

score 54 · Answer 2 · 2015-11-19 18:12:21

54

Views

Continuity and Differentiable functions

Published on 19 Nov 2015 - 18:12

score 1.5k · Answer 3 · 2015-11-21 04:07:09

1.5k

Views

The limit of a sequence of uniform bounded variation functions in $L_1$ is almost sure a bounded variation function

Published on 21 Nov 2015 - 4:07

score 579 · Answer 4 · 2026-03-16 15:56:05

579

Views

Prove that a sequence is bounded/unbounded

Published on 16 Mar 2026 - 15:56

score 154 · Answer 5 · 2015-11-23 18:44:38

154

Views

RCLL (cadlag) But Not Bounded Variation

Published on 23 Nov 2015 - 18:44

score 440 · Answer 6 · 2015-11-25 16:08:29

440

Views

Limits, Determinants and Inversion of a matrix-valued function

Published on 25 Nov 2015 - 16:08

score 123 · Answer 7 · 2026-02-23 13:42:42

123

Views

Guess quadratic variation of 2 processes, with same/different BM.

Published on 23 Feb 2026 - 13:42

score 282 · Answer 8 · 2015-12-02 11:16:31

282

Views

On the total variation of a differentiable function

Published on 02 Dec 2015 - 11:16

score 81 · Answer 9 · 2015-12-07 13:15:25

81

Views

Why is the derivative of the bounded variation nonnegative definite?

Published on 07 Dec 2015 - 13:15

score 466 · Answer 10 · 2015-12-07 22:23:18

466

Views

Approximating BV Function by Piecewise Constant Functions

Published on 07 Dec 2015 - 22:23

score 4.8k · Answer 11 · 2015-12-08 13:39:57

4.8k

Views

Definition of a bounded complex function and how to apply Liouville's theorem?

Published on 08 Dec 2015 - 13:39

score 1.8k · Answer 12 · 2015-12-08 20:45:27

1.8k

Views

Let $f$ be of bounded variation on $[a,b]$, and define $v(x) = f_{[a,x]}$. show $\int_a^b |f'|\leq TV(f).$

Published on 08 Dec 2015 - 20:45

score 1.8k · Answer 13 · 2026-03-21 12:48:54

1.8k

Views

Are there functions that are Holder continuous but whose variation is unbounded?

Published on 21 Mar 2026 - 12:48

score 222 · Answer 14 · 2015-12-11 16:07:19

222

Views

Understanding Lemma: $\left\lVert f \right\rVert_{\infty} \leq \left|f(a) \right| + V_{a}^{b} f$

Published on 11 Dec 2015 - 16:07

score 535 · Answer 15 · 2015-12-14 17:28:31

535

Views

Exploring the total variation of a $C^1$ function

Published on 14 Dec 2015 - 17:28

List Question

Under Given conditions, is f absolutely continuous on $[0,1]$?

Continuity and Differentiable functions

The limit of a sequence of uniform bounded variation functions in $L_1$ is almost sure a bounded variation function

Prove that a sequence is bounded/unbounded

RCLL (cadlag) But Not Bounded Variation

Limits, Determinants and Inversion of a matrix-valued function

Guess quadratic variation of 2 processes, with same/different BM.

On the total variation of a differentiable function

Why is the derivative of the bounded variation nonnegative definite?

Approximating BV Function by Piecewise Constant Functions

Definition of a bounded complex function and how to apply Liouville's theorem?

Let $f$ be of bounded variation on $[a,b]$, and define $v(x) = f_{[a,x]}$. show $\int_a^b |f'|\leq TV(f).$

Are there functions that are Holder continuous but whose variation is unbounded?

Understanding Lemma: $\left\lVert f \right\rVert_{\infty} \leq \left|f(a) \right| + V_{a}^{b} f$

Exploring the total variation of a $C^1$ function

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