Real Analysis Exchange

A concept of generalized absolute continuity for the ℱ-integral

Thierry De Pauw

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We define a concept of generalized absolute continuity for additive functions of figures. This makes it possible to give a descriptive definition of the ℱ-integral introduced by Pfeffer in 1993. Finally, we discuss a possible extension to additive functions of sets of bounded variation.

Article information

Real Anal. Exchange, Volume 22, Number 1 (1996), 350-361.

First available in Project Euclid: 1 June 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A39: Denjoy and Perron integrals, other special integrals

F integral


De Pauw, Thierry. A concept of generalized absolute continuity for the ℱ-integral. Real Anal. Exchange 22 (1996), no. 1, 350--361.

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