Question

Equivalence of Lebesgue and Henstock-Kurzweil (Gauge) integral.

score 273 · Answer 1 · 2026-04-08 19:29:02

273

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Equivalence of Lebesgue and Henstock-Kurzweil (Gauge) integral.

Published on 08 Apr 2026 - 19:29

score 202 · Answer 2 · 2026-04-16 14:15:26

202

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Every partition $P$ $\delta$-fine has $c$ as tag if and only if $\delta(x)\leq |x-c|$

Published on 16 Apr 2026 - 14:15

score 219 · Answer 3 · 2026-04-17 08:01:19

219

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generalized Riemann Integrability of $f\cdot g$

Published on 17 Apr 2026 - 8:01

score 129 · Answer 4 · 2026-04-14 00:33:12

129

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Is the derivative of $x \cos\left(\frac{\pi}{x}\right)$ integrable?

Published on 14 Apr 2026 - 0:33

score 63 · Answer 5 · 2026-04-12 06:02:34

63

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Definition of Henstock integral function over a set

Published on 12 Apr 2026 - 6:02

score 102 · Answer 6 · 2026-04-11 18:52:33

102

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What are the necessary and sufficient conditions for a function to be Henstock–Kurzweil integrable?

Published on 11 Apr 2026 - 18:52

score 120 · Answer 7 · 2026-04-13 13:15:19

120

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Are bound functions always Henstock-kurzweil integrable?

Published on 13 Apr 2026 - 13:15

score 98 · Answer 8 · 2026-04-09 15:09:27

98

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Conditions for applying the second fundamental theorem of calculus with gauge integrals

Published on 09 Apr 2026 - 15:09

score 158 · Answer 9 · 2026-04-11 23:14:54

158

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Questions regarding Gauge and Darboux Integrals?

Published on 11 Apr 2026 - 23:14

score 222 · Answer 10 · 2026-04-15 21:36:25

222

Views

Henstock-Kurzweil integral of $f(x)=n$ for $x=1/n$ (and zero otherwise)

Published on 15 Apr 2026 - 21:36

score 658 · Answer 11 · 2026-04-12 13:34:27

658

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Can someone give an example of a function that is not Henstock-Kurzweil/gauge integrable?

Published on 12 Apr 2026 - 13:34

score 534 · Answer 12 · 2026-04-15 08:08:03

534

Views

Example of a function f that is Generalized Riemann Integrable, but its square is NOT Generalized Riemann Integrable.

Published on 15 Apr 2026 - 8:08

score 82 · Answer 13 · 2026-04-12 10:55:25

82

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Gauge Integral: Non-Borel Spaces

Published on 12 Apr 2026 - 10:55

score 183 · Answer 14 · 2026-04-10 23:18:17

183

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Is there an intuitive way to view the definition of the McShane integral?

Published on 10 Apr 2026 - 23:18

score 245 · Answer 15 · 2026-04-17 01:52:30

245

Views

I need help proving a result regarding multipliers for the HK integral

Published on 17 Apr 2026 - 1:52

List Question

Equivalence of Lebesgue and Henstock-Kurzweil (Gauge) integral.

Every partition $P$ $\delta$-fine has $c$ as tag if and only if $\delta(x)\leq |x-c|$

generalized Riemann Integrability of $f\cdot g$

Is the derivative of $x \cos\left(\frac{\pi}{x}\right)$ integrable?

Definition of Henstock integral function over a set

What are the necessary and sufficient conditions for a function to be Henstock–Kurzweil integrable?

Are bound functions always Henstock-kurzweil integrable?

Conditions for applying the second fundamental theorem of calculus with gauge integrals

Questions regarding Gauge and Darboux Integrals?

Henstock-Kurzweil integral of $f(x)=n$ for $x=1/n$ (and zero otherwise)

Can someone give an example of a function that is not Henstock-Kurzweil/gauge integrable?

Example of a function f that is Generalized Riemann Integrable, but its square is NOT Generalized Riemann Integrable.

Gauge Integral: Non-Borel Spaces

Is there an intuitive way to view the definition of the McShane integral?

I need help proving a result regarding multipliers for the HK integral

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