List questions from bounded-variation

Published on 25 Mar 2026 - 13:05

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Norm for bounded variations function

Published on 12 Jan 2018 - 9:55

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The total variation of functions in the Sobolev space $W^{1,1}$

Published on 12 Jan 2018 - 23:20

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Continuous and bounded variation does not imply absolutely continuous

Published on 24 Feb 2026 - 1:48

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Let $f$ be increasing on $[a,b]$ and $a < x_1 < \dotsb < x_n < b$. Show that $\sum_{k = 1}^n [f(x_k^+) - f(x_k^-)]\leq f(b^-) - f(a^+)$.

Published on 04 Nov 2010 - 22:44

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Perturbations of a function of bounded variation

Published on 27 Apr 2011 - 14:42

108

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Please help me find the maxima of this expression

Published on 04 Jun 2011 - 5:20

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Integral of the derivative of a function of bounded variation

Published on 29 Sep 2011 - 0:10

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Prove the normed space of bounded variation functions is complete

Published on 17 Oct 2011 - 22:20

984

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Functions of bounded variation on all $\mathbb{R}$

Published on 04 Mar 2012 - 2:48

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Total variation of (weakly) differentiable functions

Published on 11 Mar 2012 - 18:10

600

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Does the total variation of a function bound its numerical integration error, much like its first derivative?

Published on 16 Mar 2012 - 22:24

4.5k

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Total Variation and Integral

Published on 31 Mar 2012 - 13:58

930

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Exercise from Stein again - characterization of BV functions

Published on 03 Apr 2012 - 9:59

635

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BV functions and absolute continuity short inquiry

Published on 04 Apr 2012 - 3:56

List Question

Bounded variation along given sequence of subdivisions

Norm for bounded variations function

The total variation of functions in the Sobolev space $W^{1,1}$

Continuous and bounded variation does not imply absolutely continuous

Let $f$ be increasing on $[a,b]$ and $a < x_1 < \dotsb < x_n < b$. Show that $\sum_{k = 1}^n [f(x_k^+) - f(x_k^-)]\leq f(b^-) - f(a^+)$.

Perturbations of a function of bounded variation

Please help me find the maxima of this expression

Integral of the derivative of a function of bounded variation

Prove the normed space of bounded variation functions is complete

Functions of bounded variation on all $\mathbb{R}$

Total variation of (weakly) differentiable functions

Does the total variation of a function bound its numerical integration error, much like its first derivative?

Total Variation and Integral

Exercise from Stein again - characterization of BV functions

BV functions and absolute continuity short inquiry

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