List questions from bounded-variation

Published on 16 Dec 2023 - 21:50

46

Views

Relationship between $p$ and $q$ variation.

Published on 17 Dec 2023 - 0:34

70

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Is the measure of continuous injective image of $\mathbb{S}^1\rightarrow\mathbb{R}^2$ always 0?

Published on 02 Jan 2024 - 23:49

118

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Understanding finitely additive (signed) measures

Published on 04 Jan 2024 - 22:57

26

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Smooth approximation of BV functions, Proof clarification

Published on 07 Jan 2024 - 18:01

49

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Determine bounded variation and absolute continuity for different parameters

Published on 23 Feb 2026 - 21:19

41

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A question regarding bounded variation and differentialibility as well as integration

Published on 16 Jan 2024 - 9:52

55

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Is a measure, whose distributional derivative is a measure, absolutely continuous wrt Lebesgue?

Published on 25 Mar 2026 - 23:09

23

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Connection between variation of a function and its weighted integral

Published on 18 Feb 2024 - 21:05

33

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Continuous bounded variation path that fails to be Lipschitz

Published on 25 Mar 2026 - 20:17

48

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Equality involving an SBV (Special Bounded Variation) function and an $L^{\infty}$ function

Published on 23 Feb 2024 - 14:19

307

Views

Prove that if $\{a_{k}\}$ is a sequence of real numbers such that $\sum_{k=1}^{\infty} \frac{|a_{k}|}{k} = \infty$,

Published on 06 Mar 2024 - 20:21

20

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Sequences of bounded variation have convergent series

Published on 25 Mar 2024 - 14:04

368

Views

Showing that $f$ is not Absolutely continuous

Published on 08 Jan 2015 - 3:46

150

Views

Alternate definition on bounded variation

Published on 10 Jan 2015 - 4:36

List Question

Function of bounded variation in terms of a sequence

Relationship between $p$ and $q$ variation.

Is the measure of continuous injective image of $\mathbb{S}^1\rightarrow\mathbb{R}^2$ always 0?

Understanding finitely additive (signed) measures

Smooth approximation of BV functions, Proof clarification

Determine bounded variation and absolute continuity for different parameters

A question regarding bounded variation and differentialibility as well as integration

Is a measure, whose distributional derivative is a measure, absolutely continuous wrt Lebesgue?

Connection between variation of a function and its weighted integral

Continuous bounded variation path that fails to be Lipschitz

Equality involving an SBV (Special Bounded Variation) function and an $L^{\infty}$ function

Prove that if $\{a_{k}\}$ is a sequence of real numbers such that $\sum_{k=1}^{\infty} \frac{|a_{k}|}{k} = \infty$,

Sequences of bounded variation have convergent series

Showing that $f$ is not Absolutely continuous

Alternate definition on bounded variation

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