Perron and Henstock type integrals defined directly on a compact zero-dimensional Abelian group are studied. It is proved that the considered Perron type integral defined by continuous majorants and minorants is equivalent to the integral defined in the same way, but without assumption on continuity of majorants and minorants.
SKVORTSOV V, TULONE F (2008). Perron type integral on compact zero-dimensional Abelian groups. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 63, 37-42 [10.3103/S002713220803008X].
Perron type integral on compact zero-dimensional Abelian groups
TULONE, Francesco
2008-01-01
Abstract
Perron and Henstock type integrals defined directly on a compact zero-dimensional Abelian group are studied. It is proved that the considered Perron type integral defined by continuous majorants and minorants is equivalent to the integral defined in the same way, but without assumption on continuity of majorants and minorants.
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