Question

Functions that are Khinchin integrable but not Henstock-Kurzweil integrable

score 217 · Answer 1 · 2020-01-20 17:07:57

217

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Functions that are Khinchin integrable but not Henstock-Kurzweil integrable

Published on 20 Jan 2020 - 17:07

score 32 · Answer 2 · 2020-02-08 04:06:49

32

Views

Henstock integrable

Published on 08 Feb 2020 - 4:06

score 59 · Answer 3 · 2020-02-10 11:56:39

59

Views

Prove that if $|f|$ is gauge integrable then so is $f$.

Published on 10 Feb 2020 - 11:56

score 495 · Answer 4 · 2016-07-29 14:36:36

495

Views

A very useful lemma for Henstock-Stieltjes integration

Published on 29 Jul 2016 - 14:36

score 112 · Answer 5 · 2016-10-09 08:04:03

112

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Step function approximation with Henstock–Kurzweil integral.

Published on 09 Oct 2016 - 8:04

score 141 · Answer 6 · 2016-12-27 23:04:45

141

Views

Can conditionally convergent series be interpreted as a "generalized Henstock-Kurzweil integral"?

Published on 27 Dec 2016 - 23:04

score 45 · Answer 7 · 2023-09-10 13:03:38

45

Views

On the set of points where a Henstock-Kurzweil integrable function fails to be Lebesgue integrable

Published on 10 Sep 2023 - 13:03

score 152 · Answer 8 · 2023-11-11 21:48:02

152

Views

Are all Henstock-Kurzweil integrable functions expressible as the sum of a Lebesgue and an improper Riemann integrable function?

Published on 11 Nov 2023 - 21:48

score 88 · Answer 9 · 2023-11-17 19:50:10

88

Views

Bartle's Modern theory of integration, theorem 9.1

Published on 17 Nov 2023 - 19:50

score 53 · Answer 10 · 2023-11-26 00:16:45

53

Views

Is the set of singularities of a gauge integral always a null set?

Published on 26 Nov 2023 - 0:16

score 36 · Answer 11 · 2023-12-08 22:21:27

36

Views

Integration by substitution, monotone version for Henstock-Kurzweil integrals

Published on 08 Dec 2023 - 22:21

score 79 · Answer 12 · 2023-12-16 15:14:04

79

Views

Gauge integral on infinite-dimensional Banach space and differentiability

Published on 16 Dec 2023 - 15:14

score 415 · Answer 13 · 2015-07-17 22:18:10

415

Views

Is there a treatment/development of the Stokes' Theorem using differential forms and the Henstock-Kurzweil integral i.e. the gauge integral?

Published on 17 Jul 2015 - 22:18

score 428 · Answer 14 · 2013-06-04 19:00:59

428

Views

Generalized Riemann Integral

Published on 04 Jun 2013 - 19:00

score 1.2k · Answer 15 · 2013-08-15 07:19:06

1.2k

Views

Equivalence of the Lebesgue integral and the Henstock–Kurzweil integral on nonnegative real functions

Published on 15 Aug 2013 - 7:19

List Question

Functions that are Khinchin integrable but not Henstock-Kurzweil integrable

Henstock integrable

Prove that if $|f|$ is gauge integrable then so is $f$.

A very useful lemma for Henstock-Stieltjes integration

Step function approximation with Henstock–Kurzweil integral.

Can conditionally convergent series be interpreted as a "generalized Henstock-Kurzweil integral"?

On the set of points where a Henstock-Kurzweil integrable function fails to be Lebesgue integrable

Are all Henstock-Kurzweil integrable functions expressible as the sum of a Lebesgue and an improper Riemann integrable function?

Bartle's Modern theory of integration, theorem 9.1

Is the set of singularities of a gauge integral always a null set?

Integration by substitution, monotone version for Henstock-Kurzweil integrals

Gauge integral on infinite-dimensional Banach space and differentiability

Is there a treatment/development of the Stokes' Theorem using differential forms and the Henstock-Kurzweil integral i.e. the gauge integral?

Generalized Riemann Integral

Equivalence of the Lebesgue integral and the Henstock–Kurzweil integral on nonnegative real functions

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