Nonabsolutely convergent integrals via integral sums in $Rⁿ$

Rok, strany: 1996, 191 - 201

The integral considered is defined as a limit of Riemannian integral sums by an unconspicuous change in the original limiting process. It is an extension of the Lebesgue integral and in the one-dimensional case it coincides with the integrals of Denjoy and of Perron. For this type of integral the following properties are discussed: relation of integrals and primitives, integration of derivatives, Stokes Theorem, transformations, convergence theorems, density of the set of step functions in the space of integrable functions.

ISO 690:

Kurzweil, J. 1996. Nonabsolutely convergent integrals via integral sums in $Rⁿ$. In Tatra Mountains Mathematical Publications, vol. 8, no.2, pp. 191-201. 1210-3195.

APA:

Kurzweil, J. (1996). Nonabsolutely convergent integrals via integral sums in $Rⁿ$. Tatra Mountains Mathematical Publications, 8(2), 191-201. 1210-3195.