On Darboux and Mean Value Properties
Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 223-230

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we extend and greatly generalize, with some new information, the well known results that an approximately continuous function is Darboux, and that a finite approximate derivative has the mean value property and is Darboux. Our theorems on Darboux and mean value properties of derivatives include also those of selective derivatives and I-approximate derivatives.
DOI : 10.4153/CMB-1987-032-8
Mots-clés : 26H24
Bullen, P. S.; Sarkhel, D. N. On Darboux and Mean Value Properties. Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 223-230. doi: 10.4153/CMB-1987-032-8
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