List questions from bounded-variation

Published on 20 Jun 2021 - 15:49

273

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Fourier series of function with bounded variation is bounded by its norm

Published on 25 Mar 2026 - 17:52

535

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Real Analysis, Folland 3.5.34

Published on 31 Jul 2021 - 21:59

424

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Understanding total, quadratic, and $\Phi$ variation of functions

Published on 24 Feb 2026 - 0:11

110

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Non-Lebesgue points which are not jumps in BV functions.

Published on 23 Aug 2021 - 13:11

414

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Lebesgue decomposition of increasing function on an unbounded interval?

Published on 24 Aug 2021 - 2:28

50

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Are there the same conclusions in quaternion

Published on 30 Aug 2021 - 15:15

812

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Properties of functions of bounded variation

Published on 25 Mar 2026 - 17:53

208

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Mollification of Functions of bounded variation

Published on 25 Mar 2026 - 17:53

57

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If $f$ is absolutely continuous then $PV(f,[a,b])=\int_{[a,b]}(f')^+$

Published on 24 Feb 2026 - 9:54

128

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Real Analysis: If $[a',b']$ is a subinterval of $[a,b]$ show that $P[a',b'] \leq P[a,b]$

Published on 25 Mar 2026 - 19:25

562

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Analysis: $f$ is continuous and $φ$ is of bounded variation on $[a, b]$ implies $ψ(x) = \int_a^x f dφ$ is of bounded variation on $[a,b]$

Published on 16 Sep 2021 - 23:10

172

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Can a bounded analytic function have unbounded derivative?

Published on 26 Sep 2021 - 7:21

885

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A closed subspace of $C([0,1])$ with all functions of bounded variation has finite dimension

Published on 27 Sep 2021 - 11:43

499

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Is the total variation function Lipschitz?

Published on 23 Feb 2026 - 10:14

List Question

Total variation of a piecewise function

Fourier series of function with bounded variation is bounded by its norm

Real Analysis, Folland 3.5.34

Understanding total, quadratic, and $\Phi$ variation of functions

Non-Lebesgue points which are not jumps in BV functions.

Lebesgue decomposition of increasing function on an unbounded interval?

Are there the same conclusions in quaternion

Properties of functions of bounded variation

Mollification of Functions of bounded variation

If $f$ is absolutely continuous then $PV(f,[a,b])=\int_{[a,b]}(f')^+$

Real Analysis: If $[a',b']$ is a subinterval of $[a,b]$ show that $P[a',b'] \leq P[a,b]$

Analysis: $f$ is continuous and $φ$ is of bounded variation on $[a, b]$ implies $ψ(x) = \int_a^x f dφ$ is of bounded variation on $[a,b]$

Can a bounded analytic function have unbounded derivative?

A closed subspace of $C([0,1])$ with all functions of bounded variation has finite dimension

Is the total variation function Lipschitz?

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