On Denjoy type extensions of the Pettis integral |
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Authors: | Kirill Naralenkov |
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Institution: | 1.Dept. of Math. Methods and Information Technologies,Moscow State Institute of International Relations,Moscow,Russian Federation |
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Abstract: | In this paper two Denjoy type extensions of the Pettis integral are defined and studied. These integrals are shown to extend
the Pettis integral in a natural way analogous to that in which the Denjoy integrals extend the Lebesgue integral for real-valued
functions. The connection between some Denjoy type extensions of the Pettis integral is examined. |
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