Geodesic
A constructive integral equivalent to the integral of Kurzweil
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 365-367

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We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.
We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.
Classification : 26A39, 26B99, 26E20, 46G10
Keywords: Kurzweil integral; generalized Riemann integral 
Federson, M. A constructive integral equivalent to the integral of Kurzweil. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 2, pp. 365-367. http://geodesic.mathdoc.fr/item/CMJ_2002_52_2_a11/
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     url = {http://geodesic.mathdoc.fr/item/CMJ_2002_52_2_a11/}
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[2] J. Kurzweil: Generalized ordinary differential equations and continuous dependance on a parameter. Czechoslovak Math. J. 7 (1957), 418–446. | MR

[3] J. Kurzweil and J. Jarník: Differentiability and integrability in $n$ dimensions with respect to $\alpha $-regular intervals. Res. Math. 21 (1992), 138–151. | DOI | MR