Geodesic
On a subclass of the family of Darboux functions
Zbigniew Grande1
1 Institute of Mathematics Kazimierz Wielki University Plac Weyssenhoffa 11 85-072 Bydgoszcz, Poland
Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 95-104.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We investigate functions $f:I\to \mathbb R$ (where $I$ is an open interval) such that for all $u,v\in I$ with $u v$ and $f(u)\neq f(v)$ and each $c\in (\min(f(u),f(v)),\max(f(u),f(v)))$ there is a point $w\in (u,v)$ such that $f(w) = c$ and $f$ is approximately continuous at $w$.
DOI : 10.4064/cm117-1-6
Keywords: investigate functions mathbb where interval neq each min max there point approximately continuous nbsp

Zbigniew Grande 1

1 Institute of Mathematics Kazimierz Wielki University Plac Weyssenhoffa 11 85-072 Bydgoszcz, Poland 
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Zbigniew Grande. On a subclass of the family of Darboux functions. Colloquium Mathematicum, Tome 117 (2009) no. 1, pp. 95-104. doi : 10.4064/cm117-1-6. http://geodesic.mathdoc.fr/articles/10.4064/cm117-1-6/

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