Approximations by Darboux Functions in the Baire One Class

Robert Menkyna; L̓ubomír Mydielka

doi:10.2478/tmmp-2013-0019

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Approximations by Darboux Functions in the Baire One Class

Tatra Mountains Mathematical Publications

Volume 55 (2013): Issue 1 (August 2013)

By: Robert Menkyna and L̓ubomír Mydielka

Open Access

|Aug 2013

Abstract

In the paper [Sur la premiére dérivée, Trans. Amer. Math. Soc. (N.S.) 2 (1940), 17-23], Z. Zahorski designed a way of constructing the real semicontinuous functions. Throughout the present paper, it is shown that a modification of Zahorski’s approach is usefull for approximation of a Baire one function by a Darboux Baire one function.

References

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2013-0019 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 57 - 66

Published on: Aug 13, 2013

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Baire one functions,

Darboux property. Partially supported by grant VEGA No. 1/0853/13

Related subjects:

Mathematics,

General mathematics

© 2013 Robert Menkyna, L̓ubomír Mydielka, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 55 (2013): Issue 1 (August 2013)