Question

$f, g : [a, b] \to R$ be of bounded variation. Then $fg$ is of bounded variation

score 1.2k · Answer 1 · 2017-05-27 09:32:15

1.2k

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$f, g : [a, b] \to R$ be of bounded variation. Then $fg$ is of bounded variation

Published on 27 May 2017 - 9:32

score 369 · Answer 2 · 2017-05-27 09:55:46

369

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$f$ is Of Bounded Variation $\Rightarrow$ $f$ is Bounded

Published on 27 May 2017 - 9:55

score 79 · Answer 3 · 2017-05-27 11:11:36

79

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Is Of Bounded Variation, only for the finite partition?

Published on 27 May 2017 - 11:11

score 479 · Answer 4 · 2017-05-28 05:28:28

479

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$|f|$ is of bounded variation $\implies f$ is of bounded variation

Published on 28 May 2017 - 5:28

score 1.5k · Answer 5 · 2017-05-28 05:48:31

1.5k

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Is $f(x) = \sqrt x$ of bounded variation?

Published on 28 May 2017 - 5:48

score 226 · Answer 6 · 2017-05-28 07:25:08

226

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$f,g$ be of bounded variation $\Rightarrow$ $f\circ g$ is of bounded variation?

Published on 28 May 2017 - 7:25

score 976 · Answer 7 · 2017-05-29 16:06:42

976

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Converging sequence of non bounded variation

Published on 29 May 2017 - 16:06

score 232 · Answer 8 · 2017-06-03 14:45:38

232

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If function $f : [a,b] \to R$ is of bounded variation and differentiable, the total variation function $V(x) = V(f, [a:x])$ is also differentiable?

Published on 03 Jun 2017 - 14:45

score 318 · Answer 9 · 2017-06-04 11:36:45

318

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Is Differentiation of total variation function $V(f, [0,x])$ possible in this condition?

Published on 04 Jun 2017 - 11:36

score 87 · Answer 10 · 2017-06-04 19:52:09

87

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Show that if $(ς_n)$ is a sequence of partitions whose size tends to $0$, the variation along $ς_n$ tends to the total variation

Published on 04 Jun 2017 - 19:52

score 421 · Answer 11 · 2026-03-26 01:17:58

421

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Riemann-stieltjes integral and the supremum of f

Published on 26 Mar 2026 - 1:17

score 605 · Answer 12 · 2017-06-06 15:51:27

605

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Prove that set is not a compact

Published on 06 Jun 2017 - 15:51

score 269 · Answer 13 · 2017-06-07 16:17:43

269

Views

total variation of piecewise constant average function

Published on 07 Jun 2017 - 16:17

score 183 · Answer 14 · 2017-06-19 10:35:36

183

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Function of bounded variation clarity

Published on 19 Jun 2017 - 10:35

score 1.1k · Answer 15 · 2017-06-20 01:13:30

1.1k

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Uniform convergence and bounded variation functions

Published on 20 Jun 2017 - 1:13

List Question

$f, g : [a, b] \to R$ be of bounded variation. Then $fg$ is of bounded variation

$f$ is Of Bounded Variation $\Rightarrow$ $f$ is Bounded

Is Of Bounded Variation, only for the finite partition?

$|f|$ is of bounded variation $\implies f$ is of bounded variation

Is $f(x) = \sqrt x$ of bounded variation?

$f,g$ be of bounded variation $\Rightarrow$ $f\circ g$ is of bounded variation?

Converging sequence of non bounded variation

If function $f : [a,b] \to R$ is of bounded variation and differentiable, the total variation function $V(x) = V(f, [a:x])$ is also differentiable?

Is Differentiation of total variation function $V(f, [0,x])$ possible in this condition?

Show that if $(ς_n)$ is a sequence of partitions whose size tends to $0$, the variation along $ς_n$ tends to the total variation

Riemann-stieltjes integral and the supremum of f

Prove that set is not a compact

total variation of piecewise constant average function

Function of bounded variation clarity

Uniform convergence and bounded variation functions

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