A constructive integral equivalent to the integral of Kurzweil

Márcia Federson

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 2, page 365-367
  • ISSN: 0011-4642

Abstract

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We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.

How to cite

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Federson, Márcia. "A constructive integral equivalent to the integral of Kurzweil." Czechoslovak Mathematical Journal 52.2 (2002): 365-367. <http://eudml.org/doc/30706>.

@article{Federson2002,
abstract = {We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.},
author = {Federson, Márcia},
journal = {Czechoslovak Mathematical Journal},
keywords = {Kurzweil integral; generalized Riemann integral; Kurzweil integral; generalized Riemann integral},
language = {eng},
number = {2},
pages = {365-367},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A constructive integral equivalent to the integral of Kurzweil},
url = {http://eudml.org/doc/30706},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Federson, Márcia
TI - A constructive integral equivalent to the integral of Kurzweil
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 2
SP - 365
EP - 367
AB - We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.
LA - eng
KW - Kurzweil integral; generalized Riemann integral; Kurzweil integral; generalized Riemann integral
UR - http://eudml.org/doc/30706
ER -

References

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  1. The General Theory of Integration, Clarendon Press, Oxford, 1991. (1991) Zbl0745.26006MR1134656
  2. Generalized ordinary differential equations and continuous dependance on a parameter, Czechoslovak Math. J. 7 (1957), 418–446. (1957) MR0111875
  3. 10.1007/BF03323075, Res. Math. 21 (1992), 138–151. (1992) MR1146639DOI10.1007/BF03323075

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