The paper deals with approximation of functions from the unit interval into itself by means of functions having strong entropy point. For this purpose we define a family of functions having the fixed point property: $Conn_C$ (which is a subfamily of the class $Conn$ introduced in [16]). The main result of the paper is a theorem saying that for any function $f\in Conn_C$ and any point $x_0 \in Fix(f)$ there exista ring $R \subset Conn_C$ containing function $ f$ and in the intersection of any "graphneighbourhood of f" and "neighbourhood of f in topology of uniform convergence"one can find functions $\xi, \psi \in R$ having strong entropy point $y_0$ located close to thepoint $x_0$ and being a discontinuity point of the function $\xi$ and a continuity point ofthe function \psi.
@article{263,
title = {On approximation by functions having strong entropy point},
journal = {Tatra Mountains Mathematical Publications},
volume = {58},
year = {2014},
doi = {10.2478/tatra.v58i0.263},
language = {EN},
url = {http://dml.mathdoc.fr/item/263}
}
Korczak-Kubiak, Ewa; Pawlak, Ryszard J. On approximation by functions having strong entropy point. Tatra Mountains Mathematical Publications, Tome 58 (2014) . doi : 10.2478/tatra.v58i0.263. http://gdmltest.u-ga.fr/item/263/