ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 70,   2   (2001)
pp.   177-183

A DARBOUX PROPERTY OF $I_1$-APPROXIMATE PARTIAL DERIVATIVES
R. Carrese and E. Lazarow


Abstract.  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.

AMS subject classification.  Primary 26B05 26A21
Keywords

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