Geodesic
On the Denjoy--Luzin Definitions of the Function Classes $ACG$, $ACG^*$, $V\!BG$, and $V\!BG^*$
Matematičeskie zametki, Tome 81 (2007) no. 2, pp. 205-216

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An equivalent form of the Denjoy–Luzin definitions of the function classes $ACG$, $ACG^*$, $V\!BG$, and $V\!BG^*$ is suggested. Conditions sufficient for the variational measure and approximation variational measure to be semimoderated are obtained.
Keywords: $ACG$-function, $ACG^*$-function, $V\!BG$-function, $V\!BG^*$-function, $AC$-function, $AC^*$-function, $V\!B$-function, $V\!B^*$-function, variational measure, semimoderated measure. 
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     author = {Yu. A. Zhereb'ev},
     title = {On the {Denjoy--Luzin} {Definitions} of the {Function} {Classes} $ACG$, $ACG^*$, $V\!BG$, and $V\!BG^*$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {205--216},
     publisher = {mathdoc},
     volume = {81},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a4/}
}
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Yu. A. Zhereb'ev. On the Denjoy--Luzin Definitions of the Function Classes $ACG$, $ACG^*$, $V\!BG$, and $V\!BG^*$. Matematičeskie zametki, Tome 81 (2007) no. 2, pp. 205-216. http://geodesic.mathdoc.fr/item/MZM_2007_81_2_a4/