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Difference of two strong Światkowski lower semicontinuous functions

  • Robert Menkyna EMAIL logo
Published/Copyright: February 28, 2017
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Abstract

The problem of a family functions representable as the difference of two lower semicontinuous strong Światkowski functions is discussed. Particularly, we suggest how to characterize such systems.

MSC 2010: Primary 26A15; 26A21

This work was partly supported by the Slovak Grant Agency under the project No. 1/0853/13



(Communicated by Ján Borsík)


References

[1] Kempisty, S.: Sur les functions quasicontinues, Fund. Math. 19 (1932), 184–197.10.4064/fm-19-1-184-197Search in Google Scholar

[2] Maliszewski, A.: Darboux Property and Quasi-continuity: A Uniform Approach, Wydaw. Uczelniane WSP, 1996.Search in Google Scholar

[3] Maliszewski, A.: On the differences of upper semicontinuous quasi-continuous functions, Math. Slovaca 48 (1998), 245–252.Search in Google Scholar

[4] Maliszewski, A.: On the sums of Darboux upper semicontinuous quasi-continuous functions, Real Anal. Exchange 20 (1994/95), 244–249.10.2307/44152485Search in Google Scholar

[5] Menkyna, R.: On the sums of lower semicontinuous strong Światkowski functions, Real Anal. Exchange 39 (2013/2014), 15–32.10.14321/realanalexch.39.1.0015Search in Google Scholar

[6] Menkyna, R.: On representations of Baire one functions as the sum of lower and upper semicontinuous functions, Real Anal. Exchange 38 (2012/2013), 169–176.10.14321/realanalexch.38.1.0169Search in Google Scholar

[7] Szczuka, P.: Maximums of strong Światkowski functions, Math. Slovaca 52 (2002), 541–548.10.2478/s12175-012-0023-zSearch in Google Scholar

Received: 2014-10-07
Accepted: 2015-03-30
Published Online: 2017-02-28
Published in Print: 2017-03-01

© 2017 Mathematical Institute Slovak Academy of Sciences

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