On the entropy of Darboux functions
Colloquium Mathematicum, Tome 116 (2009) no. 2, pp. 227-241
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
prove results concerning entropy darboux almost continuous functions first generalize theorems valid continuous functions study properties which specific darboux functions finally theorems approximating almost continuous functions functions infinite entropy
Affiliations des auteurs :
Ryszard J. Pawlak 1
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author = {Ryszard J. Pawlak},
title = {On the entropy of {Darboux} functions},
journal = {Colloquium Mathematicum},
pages = {227--241},
publisher = {mathdoc},
volume = {116},
number = {2},
year = {2009},
doi = {10.4064/cm116-2-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm116-2-7/}
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Ryszard J. Pawlak. On the entropy of Darboux functions. Colloquium Mathematicum, Tome 116 (2009) no. 2, pp. 227-241. doi: 10.4064/cm116-2-7
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