The origin and developments of Kurzweil's generalized Riemann integral

Jean Mawhin

Czechoslovak Mathematical Journal (2025)

  • Issue: 1, page 21-45
  • ISSN: 0011-4642

Abstract

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The paper describes to origin and motivation of Kurzweil in introducing a Riemann-type definition for generalized Perron integrals and his further contributions to the topics.

How to cite

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Mawhin, Jean. "The origin and developments of Kurzweil's generalized Riemann integral." Czechoslovak Mathematical Journal (2025): 21-45. <http://eudml.org/doc/299922>.

@article{Mawhin2025,
abstract = {The paper describes to origin and motivation of Kurzweil in introducing a Riemann-type definition for generalized Perron integrals and his further contributions to the topics.},
author = {Mawhin, Jean},
journal = {Czechoslovak Mathematical Journal},
keywords = {Henstock-Kurzweil integral; divergence theorem; Denjoy-Perron integral; averaging method; Kurzweil generalized differential equation},
language = {eng},
number = {1},
pages = {21-45},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The origin and developments of Kurzweil's generalized Riemann integral},
url = {http://eudml.org/doc/299922},
year = {2025},
}

TY - JOUR
AU - Mawhin, Jean
TI - The origin and developments of Kurzweil's generalized Riemann integral
JO - Czechoslovak Mathematical Journal
PY - 2025
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 21
EP - 45
AB - The paper describes to origin and motivation of Kurzweil in introducing a Riemann-type definition for generalized Perron integrals and his further contributions to the topics.
LA - eng
KW - Henstock-Kurzweil integral; divergence theorem; Denjoy-Perron integral; averaging method; Kurzweil generalized differential equation
UR - http://eudml.org/doc/299922
ER -

References

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