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On a problem of Matkowski

Zoltán Daróczy, Gyula Maksa (1999)

Colloquium Mathematicae

We solve Matkowski's problem for strictly comparable quasi-arithmetic means.

On a subclass of the family of Darboux functions

Zbigniew Grande (2009)

Colloquium Mathematicae

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.

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