In some recent papers, results of uniform additivity have been obtained for convergent sequences of measures with values in -groups. Here a survey of these results and some of their applications are presented, together with a convergence theorem involving Lebesgue decompositions.
Some new results about uniform (s)-boundedness for regular (l)-group-valued set functions are given.
In the last twenty years many papers have appeared dealing with fuzzy theory. In particular, fuzzy integration theory had its origin in the well-known Thesis of Sugeno [7]. More recently, some authors faced this topic by means of some binary operations (see for instance [3], [8] and references): a fuzzy measure must be additive with respect to one of them, an the integral is to define in a way, which is very similar to the construction of the Lebesgue integral. On the contrary, we are interested...
We state some bilateral bounds for the Riemann-Stieltjes integral and we extend them to the Weierstrass integral.
In this paper we give a Dunford-Pettis-type weak compactness criterion , where is a -finite measure space.
In this paper we present some new versions of Brooks-Jewett and Dieudonné-type theorems for -group-valued measures.
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