On a subclass of the family of Darboux functions

Zbigniew Grande. "On a subclass of the family of Darboux functions." Colloquium Mathematicae 117.1 (2009): 95-104. <http://eudml.org/doc/286609>.

@article{ZbigniewGrande2009,
abstract = {We investigate functions f: I → ℝ (where I is an open interval) such that for all u,v ∈ I with u < v and f(u) ≠ f(v) and each c ∈ (min(f(u),f(v)),max(f(u),f(v))) there is a point w ∈ (u,v) such that f(w) = c and f is approximately continuous at w.},
author = {Zbigniew Grande},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {95-104},
title = {On a subclass of the family of Darboux functions},
url = {http://eudml.org/doc/286609},
volume = {117},
year = {2009},
}

TY - JOUR
AU - Zbigniew Grande
TI - On a subclass of the family of Darboux functions
JO - Colloquium Mathematicae
PY - 2009
VL - 117
IS - 1
SP - 95
EP - 104
AB - We investigate functions f: I → ℝ (where I is an open interval) such that for all u,v ∈ I with u < v and f(u) ≠ f(v) and each c ∈ (min(f(u),f(v)),max(f(u),f(v))) there is a point w ∈ (u,v) such that f(w) = c and f is approximately continuous at w.
LA - eng
UR - http://eudml.org/doc/286609
ER -