AUTHORS: Anca Croitoru, Alina Gavrilut, Alina Iosif

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ABSTRACT: In this paper, we define and study the Birkhoff weak integral in two cases: for vector functions relative to a non-negative set function and for real functions with respect to a vector set function. Some comparison results and classical integral properties are obtained: the linearity relative to the function and the measure, and the monotonicity with respect to the function, the measure and the set

KEYWORDS: Birkhoff weak integral; integrable function; non-additive measure; vector integral; vector function

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