Question

Method for evaluating Darboux integrals by a sequence of partitions?

score 450 · Answer 1 · 2026-03-24 22:31:33

450

Views

Method for evaluating Darboux integrals by a sequence of partitions?

Published on 24 Mar 2026 - 22:31

score 418 · Answer 2 · 2026-03-20 10:41:00

418

Views

Function of bounded variation which is differentiable except on countable set

Published on 20 Mar 2026 - 10:41

score 43 · Answer 3 · 2026-03-20 16:33:04

43

Views

Variation with respect to the projective tensor norm of a matrix of bounded variation functions

Published on 20 Mar 2026 - 16:33

score 197 · Answer 4 · 2026-03-22 05:06:28

197

Views

Associativity of an integral against a function with finite variation

Published on 22 Mar 2026 - 5:06

score 247 · Answer 5 · 2026-03-19 18:58:21

247

Views

Suppose $f(x)$ is of bounded variation. Show $F(x) = \frac{1}{x} \int_0^x f(t) \, dt$ is also of bounded variation.

Published on 19 Mar 2026 - 18:58

score 74 · Answer 6 · 2026-03-19 20:28:26

74

Views

Is there a sufficient condition for which derivative of $\sum_{n=0}^{\infty} a_n x^n$ is bounded for all $x \in \mathbb{R}$?

Published on 19 Mar 2026 - 20:28

score 41 · Answer 7 · 2026-03-22 12:01:08

41

Views

Looking for the name of this property, if it has one.

Published on 22 Mar 2026 - 12:01

score 186 · Answer 8 · 2026-03-22 06:27:47

186

Views

Bounded Variation Proof

Published on 22 Mar 2026 - 6:27

score 157 · Answer 9 · 2026-03-20 03:32:57

157

Views

Rearranging a sequence of bounded variation

Published on 20 Mar 2026 - 3:32

score 990 · Answer 10 · 2026-03-20 02:32:36

990

Views

If $f$ is $g$-Riemann-Stieltjes integrable on $[a,b]$, prove that it's $g$-RS-integrable on $[a,c] \subset [a,b]$

Published on 20 Mar 2026 - 2:32

score 330 · Answer 11 · 2026-03-20 01:47:18

330

Views

$f:[a,b]\to[c,d]$ is absolutely continuous and bijective. Is $f^{-1}$ of bounded variation? Does $m(E) = 0$ imply $m(f(E))=0$?

Published on 20 Mar 2026 - 1:47

score 721 · Answer 12 · 2026-03-25 09:23:56

721

Views

$f$ is integrable implies $F(x)$ is bounded variation.

Published on 25 Mar 2026 - 9:23

score 186 · Answer 13 · 2026-03-25 09:25:08

186

Views

About a function of bounded variation

Published on 25 Mar 2026 - 9:25

score 894 · Answer 14 · 2026-03-25 09:33:29

894

Views

Discontinuous function with bounded variation

Published on 25 Mar 2026 - 9:33

score 1.3k · Answer 15 · 2026-03-25 09:32:19

1.3k

Views

When can a function be said to be bounded

Published on 25 Mar 2026 - 9:32

List Question

Method for evaluating Darboux integrals by a sequence of partitions?

Function of bounded variation which is differentiable except on countable set

Variation with respect to the projective tensor norm of a matrix of bounded variation functions

Associativity of an integral against a function with finite variation

Suppose $f(x)$ is of bounded variation. Show $F(x) = \frac{1}{x} \int_0^x f(t) \, dt$ is also of bounded variation.

Is there a sufficient condition for which derivative of $\sum_{n=0}^{\infty} a_n x^n$ is bounded for all $x \in \mathbb{R}$?

Looking for the name of this property, if it has one.

Bounded Variation Proof

Rearranging a sequence of bounded variation

If $f$ is $g$-Riemann-Stieltjes integrable on $[a,b]$, prove that it's $g$-RS-integrable on $[a,c] \subset [a,b]$

$f:[a,b]\to[c,d]$ is absolutely continuous and bijective. Is $f^{-1}$ of bounded variation? Does $m(E) = 0$ imply $m(f(E))=0$?

$f$ is integrable implies $F(x)$ is bounded variation.

About a function of bounded variation

Discontinuous function with bounded variation

When can a function be said to be bounded

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