Displaying similar documents to “Darboux type properties of the paratingent”

Composition of functions.

Muthuvel, Kandasamy (2000)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Separating sets by Darboux-like functions

Aleksander Maliszewski (2002)

Fundamenta Mathematicae

Similarity:

We consider the following problem: Characterize the pairs ⟨A,B⟩ of subsets of ℝ which can be separated by a function from a given class, i.e., for which there exists a function f from that class such that f = 0 on A and f = 1 on B (the classical separation property) or f < 0 on A and f > 0 on B (a new separation property).

On a subclass of the family of Darboux functions

Zbigniew Grande (2009)

Colloquium Mathematicae

Similarity:

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.