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Article

Backhausz, Ágnes M. ; Komornik, Vilmos ; Szilágyi, Tivadar
A simplified multidimensional integral. (English). Czechoslovak Mathematical Journal, vol. 59 (2009), issue 3, pp. 721-739
MSC: 26B15, 28A10, 28A35 | MR 2545652 | Zbl 1224.26044
Keywords:
integral of several variables; characterization of primitives
Summary:
We present a simplified integral of functions of several variables. Although less general than the Riemann integral, most functions of practical interest are still integrable. On the other hand, the basic integral theorems can be obtained more quickly. We also give a characterization of the integrable functions and their primitives.
References:
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[3] Dieudonné, J.: Foundations of Modern Analysis. Academic Press, New York and London (1969). MR 0349288
[4] Pfeffer, Washek F.: The Riemann Approach to Integration: Local Geometric Theory Cambridge University Press, Cambridge. (1993). MR 1268404
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