List questions from bounded-variation

Published on 21 Nov 2014 - 0:18

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Total variation of a sequence of functions

Published on 21 Nov 2014 - 13:09

133

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The space $BPV(0,1)$ is a separable metric space under certain metric.

Published on 22 Nov 2014 - 17:04

38

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Bounded variation of function $(f-M)^+$ and the measure of the set where it is concentrated

Published on 26 Nov 2014 - 17:55

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Is $x^{3/2}\sin(\frac{1}{x})$ of bounded variation?

Published on 03 Dec 2014 - 20:11

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Calculating explicitly the total variation of $x^2 \sin\left(\frac{\pi}{2x}\right)$ on $[0,1]$.

Published on 05 Dec 2014 - 4:58

356

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Bounded variation problem

Published on 26 Dec 2014 - 21:18

11.8k

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A continuous function on $[0,1]$ not of bounded variation

Published on 27 Dec 2014 - 22:59

1.4k

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The Co-area formula for $BV$ function V.S. the co-area formula for $C^\infty$ functions

Published on 28 Dec 2014 - 2:31

1.7k

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Example of function of bounded variation

Published on 23 Feb 2026 - 6:35

57

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Why absolute continuous function has bounded variation?

Published on 26 Oct 2019 - 8:40

48

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Uniform convergence for bounded variational function

Published on 25 Mar 2026 - 4:34

270

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Differentiability implies bounded variation?

Published on 26 Oct 2019 - 22:34

193

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Limits of the total variation when $f(-\infty)=0$

Published on 11 Mar 2026 - 19:01

265

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Prove that $\sqrt{x}\sin\frac{\pi}{2\sqrt{x}}$ is not of bounded variation and is not Lipschitz

Published on 30 Oct 2019 - 1:45

List Question

The derivative of total variation

Total variation of a sequence of functions

The space $BPV(0,1)$ is a separable metric space under certain metric.

Bounded variation of function $(f-M)^+$ and the measure of the set where it is concentrated

Is $x^{3/2}\sin(\frac{1}{x})$ of bounded variation?

Calculating explicitly the total variation of $x^2 \sin\left(\frac{\pi}{2x}\right)$ on $[0,1]$.

Bounded variation problem

A continuous function on $[0,1]$ not of bounded variation

The Co-area formula for $BV$ function V.S. the co-area formula for $C^\infty$ functions

Example of function of bounded variation

Why absolute continuous function has bounded variation?

Uniform convergence for bounded variational function

Differentiability implies bounded variation?

Limits of the total variation when $f(-\infty)=0$

Prove that $\sqrt{x}\sin\frac{\pi}{2\sqrt{x}}$ is not of bounded variation and is not Lipschitz

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