Sulla «quasi additività» e sulla «quasi sub-additività» rispetto a una coppiaDD) di famiglie di sistemi finiti e alla mesh δ

Summary

A result obtained by Cesari is here extended. The quasi additivity with respect to two familiesDD, and to the mesh function for a set scalar function ϕ:I→ϕ(I),I∈{I}, is here proved to be a consequence of non negativity, of quasi subadditivity with respect to two families (DD) and of the existence of the integralDD∫ψ, or of absolute continuity, of quasi subadditivity with respect to the familiesDD and of the existence of the integralDD∫ψ.