Geodesic
A DARBOUX PROPERTY OF $I_1$-APPROXIMATE PARTIAL DERIVATIVES
Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 2 
R. Carrese; E. Lazarow. A DARBOUX PROPERTY OF $I_1$-APPROXIMATE PARTIAL DERIVATIVES. Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a1/
@article{AMUC_2001_70_2_a1,
     author = {R. Carrese and E. Lazarow},
     title = {A {DARBOUX} {PROPERTY} {OF} $I_1${-APPROXIMATE} {PARTIAL} {DERIVATIVES}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2001},
     volume = {70},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a1/}
}
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Voir la notice de l'article provenant de la source Comenius University

Some Darboux property for functions of two variables is studied. In particular, it is shown that $\Cal I_2$-approximately continuous functions and $\Cal I_1$-approximate partial derivatives of separately $\Cal I_1$-approximately continuous functions are Darboux.