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Article

Federson, M.
A constructive integral equivalent to the integral of Kurzweil. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 365-367
MSC: 26A39, 26B99, 26E20, 46G10 | MR 1905443 | Zbl 1011.26008
Keywords:
Kurzweil integral; generalized Riemann integral
Summary:
We slightly modify the definition of the Kurzweil integral and prove that it still gives the same integral.
References:
[1] R. Henstock: The General Theory of Integration. Clarendon Press, Oxford, 1991. MR 1134656 | Zbl 0745.26006
[2] J. Kurzweil: Generalized ordinary differential equations and continuous dependance on a parameter. Czechoslovak Math. J. 7 (1957), 418–446. MR 0111875
[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 10.1007/BF03323075 | MR 1146639
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