Anca Croitoru, Alina Gavrilut, Alina Iosif, "The Birkhoff Weak Integral of Functions Relative to a Set Function in Banach Spaces Setting," WSEAS Transactions on Mathematics, vol. 16, pp. 375-383, 2017, DOI:
Anca Croitoru, Alina Gavrilut, Alina Iosif. The Birkhoff Weak Integral of Functions Relative to a Set Function in Banach Spaces Setting.
WSEAS Transactions on Mathematics. 2017;16:375-383.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 16, 2017
The Birkhoff Weak Integral of Functions Relative to a Set Function in Banach Spaces Setting
Authors: , ,
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
Pages: 375-383 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #41 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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