Abstract

We show a generalization of the fundamental Darboux theorem that states intermediate property for the derivative function of a real differentiable function. We extend this result for pairs of differentiable functions, i.e., for flat differentiable arcs.

Keywords: Mean value theorems, analysis.

MSC: 26A24

Pages:  77--78     

Volume  53 ,  Issue  3$-$4 ,  2001