Geodesic
Differentiation of integrals by bases without the~density property
Sbornik. Mathematics, Tome 187 (1996) no. 7, pp. 1061-1085

Voir la notice de l'article provenant de la source Math-Net.Ru

Questions on the differentiability of integrals of functions in the Hölder classes with respect to fairly general bases (including the basis of convex sets) are considered. 
@article{SM_1996_187_7_a6,
     author = {A. M. Stokolos},
     title = {Differentiation of integrals by bases without the~density property},
     journal = {Sbornik. Mathematics},
     pages = {1061--1085},
     publisher = {mathdoc},
     volume = {187},
     number = {7},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1996_187_7_a6/}
}
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A. M. Stokolos. Differentiation of integrals by bases without the~density property. Sbornik. Mathematics, Tome 187 (1996) no. 7, pp. 1061-1085. http://geodesic.mathdoc.fr/item/SM_1996_187_7_a6/