Riemann and Lebesgue Integration
Bohner, Martin, 1966- and Peterson, Allan
In [86, Section 1.4], the concept of integration on time scales is defined by means of an antiderivative (or pre-antiderivative) of a function and is called the Cauchy integral (we remark that in [191, p. 255] such an integral is named as the Newton integral).
M. Bohner and G. S. Guseinov, "Riemann and Lebesgue Integration," Advances in Dynamic Equations on Time Scales, Springer Verlag, Jan 2003.
The definitive version is available at http://dx.doi.org/10.1007/978-0-8176-8230-9_5
Mathematics and Statistics
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