We prove some results concerning the entropy of Darboux (and almost continuous) functions. We first generalize some theorems valid for continuous functions, and then we study properties which are specific to Darboux functions. Finally, we give theorems on approximating almost continuous functions by functions with infinite entropy.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm116-2-7,
author = {Ryszard J. Pawlak},
title = {On the entropy of Darboux functions},
journal = {Colloquium Mathematicae},
volume = {116},
year = {2009},
pages = {227-241},
zbl = {1232.37010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm116-2-7}
}
Ryszard J. Pawlak. On the entropy of Darboux functions. Colloquium Mathematicae, Tome 116 (2009) pp. 227-241. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm116-2-7/