Question

Relatively compactness of uniformly limited measures in variation w.r.t. weak convergence

score 44 · Answer 1 · 2026-04-15 13:09:09

44

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Relatively compactness of uniformly limited measures in variation w.r.t. weak convergence

Published on 15 Apr 2026 - 13:09

score 113 · Answer 2 · 2026-04-09 08:06:57

113

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Studying the total variation of an Integral Function

Published on 09 Apr 2026 - 8:06

score 119 · Answer 3 · 2026-04-13 18:30:23

119

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Real Fourier series convergence

Published on 13 Apr 2026 - 18:30

score 445 · Answer 4 · 2026-04-11 10:08:50

445

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Hölder continuity of integral function

Published on 11 Apr 2026 - 10:08

score 195 · Answer 5 · 2026-05-07 01:11:05

195

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Convergence to zero in total variation: Seeking a contradiction

Published on 07 May 2026 - 1:11

score 181 · Answer 6 · 2026-05-07 06:26:49

181

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Minimizing total variation with small norm in a compact set

Published on 07 May 2026 - 6:26

score 911 · Answer 7 · 2026-04-09 05:03:17

911

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How to check a function whether it is of bounded variation or not in an open interval.

Published on 09 Apr 2026 - 5:03

score 43 · Answer 8 · 2026-04-11 10:34:24

43

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Prove about real function of bounded variation

Published on 11 Apr 2026 - 10:34

score 1k · Answer 9 · 2026-04-13 13:03:23

1k

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$\{f_n\}$ absolutely continuous converging pointwise to $f$. Is $f$ of bounded variation and/or absolutely continuous?

Published on 13 Apr 2026 - 13:03

score 130 · Answer 10 · 2026-04-16 20:56:13

130

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Question about unbounded, real-valued function on closed interval.

Published on 16 Apr 2026 - 20:56

score 488 · Answer 11 · 2026-04-10 14:08:25

488

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Is there a probability density function of unbounded variation?

Published on 10 Apr 2026 - 14:08

score 216 · Answer 12 · 2026-04-16 15:57:01

216

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Prove $f : [0,1] \to \mathbb{R}$, $f(x) = x^2 \sin(1/x^2) \mathbf{1}_{\{ 0 < x \le 1\}}$ is of bounded variation.

Published on 16 Apr 2026 - 15:57

score 132 · Answer 13 · 2026-04-15 17:55:48

132

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$|f|^p$ is a function of bounded variation...

Published on 15 Apr 2026 - 17:55

score 67 · Answer 14 · 2026-04-15 08:14:32

If $f\colon[a,b]\rightarrow \mathbb{R}$ is a continuous function, is it true that $\mathcal{W}(f,P) \leq V_f[a, b]$ for any partition $P$ of $[a,b]$?

score 126 · Answer 15 · 2026-04-13 15:22:44

126

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Sequence of Functions and Total Variation

Published on 13 Apr 2026 - 15:22

List Question

Relatively compactness of uniformly limited measures in variation w.r.t. weak convergence

Studying the total variation of an Integral Function

Real Fourier series convergence

Hölder continuity of integral function

Convergence to zero in total variation: Seeking a contradiction

Minimizing total variation with small norm in a compact set

How to check a function whether it is of bounded variation or not in an open interval.

Prove about real function of bounded variation

$\{f_n\}$ absolutely continuous converging pointwise to $f$. Is $f$ of bounded variation and/or absolutely continuous?

Question about unbounded, real-valued function on closed interval.

Is there a probability density function of unbounded variation?

Prove $f : [0,1] \to \mathbb{R}$, $f(x) = x^2 \sin(1/x^2) \mathbf{1}_{\{ 0 < x \le 1\}}$ is of bounded variation.

$|f|^p$ is a function of bounded variation...

If $f\colon[a,b]\rightarrow \mathbb{R}$ is a continuous function, is it true that $\mathcal{W}(f,P) \leq V_f[a, b]$ for any partition $P$ of $[a,b]$?

Sequence of Functions and Total Variation

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