Geodesic
On Denjoy type extensions of the Pettis integral
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 3, pp. 737-750 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
@article{CMJ_2010_60_3_a10,
     author = {Naralenkov, Kirill},
     title = {On {Denjoy} type extensions of the {Pettis} integral},
     journal = {Czechoslovak Mathematical Journal},
     pages = {737--750},
     year = {2010},
     volume = {60},
     number = {3},
     mrnumber = {2672413},
     zbl = {1224.26028},
     language = {en},
     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/