Question

How to find a function which has bouned variaion but is not absolutely continuous

score 105 · Answer 1 · 2026-02-23 13:44:32

105

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How to find a function which has bouned variaion but is not absolutely continuous

Published on 23 Feb 2026 - 13:44

score 847 · Answer 2 · 2016-12-17 17:15:45

847

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Find the norm of the linear operator $Ax=t^2x(t)$

Published on 17 Dec 2016 - 17:15

score 64 · Answer 3 · 2016-12-19 13:21:01

64

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How to show that this property for functions of bounded variation holds?

Published on 19 Dec 2016 - 13:21

score 1.2k · Answer 4 · 2017-01-02 16:53:31

1.2k

Views

If $f$ is differentiable almost everywhere and $f'$ is abolutely integrable, then $f$ is of bounded variation?

Published on 02 Jan 2017 - 16:53

score 316 · Answer 5 · 2017-01-02 23:24:03

316

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When does $\int_a^b|f'(x)|\ dx<\infty$ imply that $f$ is of bounded variation on $[a,b]$?

Published on 02 Jan 2017 - 23:24

score 563 · Answer 6 · 2017-01-03 23:56:39

563

Views

Do we have $\|F\|_{TV([a,b])}=\lim_{\epsilon\to 0+}\|F\|_{TV([a+\epsilon,b])}$ if $F:[a,b]\to\mathbb{R}$ is continuous?

Published on 03 Jan 2017 - 23:56

score 222 · Answer 7 · 2017-01-18 22:17:52

222

Views

the limit of rectangles?

Published on 18 Jan 2017 - 22:17

score 57 · Answer 8 · 2017-01-19 17:48:39

57

Views

The $BV$ minimizing problem depends on a moving domain.

Published on 19 Jan 2017 - 17:48

score 402 · Answer 9 · 2026-02-23 04:52:10

402

Views

Change of integration limits for uniformly continuous function

Published on 23 Feb 2026 - 4:52

score 67 · Answer 10 · 2017-02-02 01:00:05

67

Views

Prove that if $f \in C^{1}([a,b])$, then $V_{a}^{b} \, f = \int_{a}^{b} |f'(x)| dx$

Published on 02 Feb 2017 - 1:00

score 805 · Answer 11 · 2017-02-02 01:09:59

805

Views

Show that if $f$ is continuous and has finite number of maxima and minima on $[a,b]$, then $f \in BV([a,b]).$

Published on 02 Feb 2017 - 1:09

score 1.2k · Answer 12 · 2017-02-06 09:34:22

1.2k

Views

Property of Riemann Stieltjes Integral

Published on 06 Feb 2017 - 9:34

score 81 · Answer 13 · 2017-02-17 12:53:24

81

Views

A BV function raised to a (real) exponent, greater that 1, is BV.

Published on 17 Feb 2017 - 12:53

score 136 · Answer 14 · 2017-02-17 17:38:19

136

Views

The BV minimizing problem depends on a moving weighted parameter

Published on 17 Feb 2017 - 17:38

score 105 · Answer 15 · 2026-03-26 06:20:27

105

Views

Prove limit exists for an almost monotonic bounded function, involves convexity and square integrability

Published on 26 Mar 2026 - 6:20

List Question

How to find a function which has bouned variaion but is not absolutely continuous

Find the norm of the linear operator $Ax=t^2x(t)$

How to show that this property for functions of bounded variation holds?

If $f$ is differentiable almost everywhere and $f'$ is abolutely integrable, then $f$ is of bounded variation?

When does $\int_a^b|f'(x)|\ dx<\infty$ imply that $f$ is of bounded variation on $[a,b]$?

Do we have $\|F\|_{TV([a,b])}=\lim_{\epsilon\to 0+}\|F\|_{TV([a+\epsilon,b])}$ if $F:[a,b]\to\mathbb{R}$ is continuous?

the limit of rectangles?

The $BV$ minimizing problem depends on a moving domain.

Change of integration limits for uniformly continuous function

Prove that if $f \in C^{1}([a,b])$, then $V_{a}^{b} \, f = \int_{a}^{b} |f'(x)| dx$

Show that if $f$ is continuous and has finite number of maxima and minima on $[a,b]$, then $f \in BV([a,b]).$

Property of Riemann Stieltjes Integral

A BV function raised to a (real) exponent, greater that 1, is BV.

The BV minimizing problem depends on a moving weighted parameter

Prove limit exists for an almost monotonic bounded function, involves convexity and square integrability

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