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math.CA2008★ 2 cited
A change of variables theorem for the multidimensional Riemann integral
Zoltán Molnár, Ilona Nagy, Tivadar Szilágyi
The most general change of variables theorem for the Riemann integral of functions of a single variable has been published in 1961 (by Kestelman). In this theorem, the substitution…
math.CA2007
A simplified multidimensional integral
Ágnes M. Backhausz, Vilmos Komornik, Tivadar Szilágyi
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 t…