Geodesic
On Denjoy type extensions of the Pettis integral
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 3, pp. 737-750.

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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.
Classification : 26A39, 26B30, 46G10
Keywords: scalar derivative; approximate scalar derivative; absolute continuity; bounded variation; $VBG$ function; $ACG$ function; Pettis integral; Denjoy-Pettis integral 
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     author = {Naralenkov, Kirill},
     title = {On {Denjoy} type extensions of the {Pettis} integral},
     journal = {Czechoslovak Mathematical Journal},
     pages = {737--750},
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     volume = {60},
     number = {3},
     year = {2010},
     mrnumber = {2672413},
     zbl = {1224.26028},
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     url = {http://geodesic.mathdoc.fr/item/CMJ_2010__60_3_a10/}
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Naralenkov, Kirill. On Denjoy type extensions of the Pettis integral. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 3, pp. 737-750. http://geodesic.mathdoc.fr/item/CMJ_2010__60_3_a10/