Diana Caponetti, Dipartimento di Matematica, Universita degli Studi della Calabria, 87036 Arcavacata di Rende (CS), Italy, Valeria Marraffa, Dipartimento di Matematica ed Applicazioni, Via Archirafi 34, 90123 Palermo, Italy
Abstract: A descriptive characterization of a Riemann type integral, defined by BV partition of unity, is given and the result is used to prove a version of the controlled convergence theorem.
Keywords: pseudopartition, ACG$^\circ$, WSL$^\circ$-condition
Classification (MSC 1991): 26A39, 26A45
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