On a K. M. Garg's problem in respect to Darboux functions
Pawlak, Ryszard J (2015-12-13T08:53:36Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Displaying similar documents to “Composition of functions.”
On a K. M. Garg's problem in respect to Darboux functions
On Darboux points and the perfectly closed class of functions
Pawlak, Ryszard J (2015-12-15T14:28:21Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Monotonicity, continuity and levels of Darboux functions
K. M. Garg (1973)
Colloquium Mathematicae
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Darboux property of the Wronski determinant
Józef Banaś, Wagdy Gomaa El-Sayed (1995)
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On a generalization of the Darboux theorem to the multidimensional case.
Korobkov, M.V. (2000)
Siberian Mathematical Journal
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On Darboux selections
Jack Ceder (1976)
Fundamenta Mathematicae
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Darboux type properties of the paratingent
Małgorzata Fedor, Joanna Szyszkowska (2008)
Annales UMCS, Mathematica
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In this paper we consider the Darboux type properties for the paratingent. We review some of the standard facts on the multivalued functions and the paratingent. We prove that the paratingent has always the Darboux property but the property D* holds only when the paratingent is a multivalued function.
On the insertion of Darboux, Baire-one functions
A. Bruckner, J. Ceder, T. Pearson (1973)
Fundamenta Mathematicae
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On sums of Darboux functions
Tomasz Natkaniec (1993)
Acta Universitatis Carolinae. Mathematica et Physica
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Some remarks on the uniqueness of solutions of the Darboux problem with conditions of the Krasnosielski-Krein type
B. Palczewski, W. Pawelski (1964)
Annales Polonici Mathematici
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Separating sets by Darboux-like functions
Aleksander Maliszewski (2002)
Fundamenta Mathematicae
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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
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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.