<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In the paper [Sur la premiére dérivée, Trans. Amer. Math. Soc. (N.S.) <bold>2 </bold>(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.</p></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.

Approximations by Darboux Functions in the Baire One Class

Institute of Aurel Stodola Faculty of Electrical Engineering University of Žilina kpt. J. Nálepku 1390 SK–031-01 Liptovský Mikuláš SLOVAKIA

Tatra Mountains Mathematical Publications

{"article-title":"Approximations by Darboux Functions in the Baire One Class"}

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...

Approximations by Darboux Functions in the Baire One Class

Published Online: Aug 13, 2013

Page range: 57 - 66

DOI: https://doi.org/10.2478/tmmp-2013-0019

Keywords
Baire one functions, Darboux property. Partially supported by grant VEGA No. 1/0853/13

This content is open access.

Approximations by Darboux Functions in the Baire One Class

Published Online: Aug 13, 2013

Page range: 57 - 66

DOI: https://doi.org/10.2478/tmmp-2013-0019

KeywordsBaire one functions, Darboux property. Partially supported by grant VEGA No. 1/0853/13

This content is open access.

Keywords
Baire one functions, Darboux property. Partially supported by grant VEGA No. 1/0853/13