B. Bongiorno, W.F. Pfeffer
A concept of absolute continuity and a Riemann type integral

Abstract:We present a descriptive definition of a multidimensional generalized Riemann integral based on a concept of generalized absolute continuity for additive functions of sets of bounded variation.

Keywords: sets of bounded variation, partitions, gages, generalized absolute continuity
AMS Subject Classification: Primary 26B15; Secondary 26B30

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