On Darboux and Mean Value Properties
Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 223-230
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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.
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
@article{10_4153_CMB_1987_032_8,
author = {Bullen, P. S. and Sarkhel, D. N.},
title = {On {Darboux} and {Mean} {Value} {Properties}},
journal = {Canadian mathematical bulletin},
pages = {223--230},
year = {1987},
volume = {30},
number = {2},
doi = {10.4153/CMB-1987-032-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-032-8/}
}
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