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ArticleOriginal scientific text

Title

On the insertion of Darboux functions

Authors 1

Affiliations

  1. Department of Mathematics, Pedagogical University, Pl. Weyssenhoffa 11, 85-072 Bydgoszcz, Poland

Abstract

The main goal of this paper is to characterize the family of all functions f which satisfy the following condition: whenever g is a Darboux function and f < g on ℝ there is a Darboux function h such that f < h < g on ℝ.

Keywords

UND
Darboux function, insertion of functions

Bibliography

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Fundamenta Mathematicae
1998/156/3
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Pages:
197-209
Main language of publication
English
Received
1996-04-23
Published
1998
Exact and natural sciences